signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0b5f0e96c66f1fe8afca6f37edd06ab2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [21, 22], "expectation_value": -5.499900322692359, "params": null, "bitstrings": ["1101010", "1101001"], "total_optimization_steps": 30, "probabilities": [1.7187860834351576e-05, 0.9999500705847443], "optimization_time": 26.658385515213013} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-1,
0
] | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
-6321735258222449659 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5], [5, 7], [2, 4], [3, 7], [4, 7], [0, 6], [2, 7], [0, 5], [1, 2, 3], [0, 4], [4, 6], [0, 1, 2], [0, 3], [1, 2, 6]]} | {"states": [201, 62], "expectation_value": -0.16046125590681393, "params": [[-0.0771], [0.0787]], "bitstrings": ["00110110", "11000001"], "total_optimization_steps": 10, "probabilities": [0.00462886712764647, 0.00465104080319737], "optimization_time": 0.777198076248169} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6666666666666683, "smallest_bitstrings": ["11000001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.0005284881935195795) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(0.0005284881935195795) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0005284881935195795) q[5];
cx q[1], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIZIZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIIIZZII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666652,
0.6666666... | 0.509324 | [
0.0005284881935195795,
-0.5369918673628398,
-1.2098414844312622,
0.21440042550562832,
0.7543515541386977
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 151 |
c1d9081f426eb25143fb28fcb61c6832 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [359, 295], "expectation_value": -74.35137665247453, "params": [0.9991000000000001, 0.1893, 0.24020000000000002, 0.4046, 0.5109, 0.36300000000000004, 0.9938, 0.0021000000000000003, 0.0022, 0.7527, 0.0041, 0.6118, 0.9842000000000001, -0.0028, 0.9961000000000001, 0.0074, 0.9821000000000001, 0.02590000000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 23.0 * Z(0) + 3.5 * Z(1) + 9.0 * Z(3) + 16.0 * Z(2) + 16.0 * Z(6) + 1.5 * Z(7) + -5.5 * Z(5) + 15.0 ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["011011000"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3945286713863012) q[0];
rz(-0.28226576585478114) q[0];
rx(0.1773550878268364) q[1];
rz(-0.455381100313468) q[1];
rx(0.27211372736373934) q[2];
rz(0.17549272002026337) q[2];
rx(1.3772511205834252) q[3];
rz(0.22197076072468827) q[3];
rx(0.12992493517655992) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
23,
3.5,
9,
16,
16,
1.5,
-5.5,
15,
-9
] | 0.978748 | [
1.394528671386301,
-0.29240769556194257,
0.1773550878268364,
-0.455381100313468,
0.27211372736373934,
0.17549272002026337,
1.3772511205834252,
0.22197076072468827,
0.12992493517655992,
-1.0465826666241218,
-0.0739302771046759,
1.0266872572574703,
1.4731087837945926,
0.05743886461347414,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 9 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.7182233333587646} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
c27e04a1b516da945dec2e0c25bb156f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -3.876287423497805, "params": [[0.0592, -0.1222], [-0.1199, 0.116]], "bitstrings": ["111111110", "101111110"], "total_optimization_steps": 20, "probabilities": [0.009401130190536174, 0.009784441937792498], "optimization_time": 9.4728262424469} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
e2d42d54466cad0e47a576fec07e2be9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -55.867314533174984, "params": [0.29700000000000004, 0.23870000000000002, 0.7885000000000001, -0.0048000000000000004, 0.7896000000000001, 0.058800000000000005, 0.3567, 0.2106, 0.7815000000000001, -0.0063, 0.7864, 0.0888, 0.3919, 0.19260000000000002, 0.7847000000000001, 0.0618... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
4,
7.5,
22,
4.5,
11,
11.5,
15
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
196315b726206c16207648eaa35c0326 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 8}, {"source": 3, "target": 4}, {"source": 3, "target": 8}, {"sour... | {"states": [238, 430], "expectation_value": -4.742338523270749, "params": [[[0.4847, -0.006900000000000001, 0.009600000000000001, 0.0078000000000000005], [0.6905, 0.115, 0.32680000000000003, 0.0015], [-0.2399, -0.018600000000000002, 0.003, -0.019], [0.6279, 0.0071, 0.8124, 0.0], [0.0036000000000000003, 0.0682, 0.007200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(8) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) | 12 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["001010001", "100010001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.06579437411970868) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.06579437411970868) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.06579437411970868) q[2];
cx q[0], q[2];
rz(1.3818863173670621) q[0];
rx(1.6789722325759169) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"ZIIIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1,
0,
-0.5,
0,
0,
0
] | 0.971942 | [
0.06579437411970868,
1.3818863173670617,
-1.430694054691624,
-1.0860813172881838,
-1.3416416018551824,
1.3207437079855573,
0.7648822844099699,
-1.0241542868225488,
-1.2581957633969085,
1.6789722325759167,
0.7912843506403408,
1.4192679320226376,
1.8085449491890204,
1.3124424600724536,
1.4... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 62 |
5107978330285048660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3], [0, 1, 5], [2, 3], [0, 1, 2, 4], [1, 3, 4, 5], [0, 2, 5], [0, 3, 4]]} | {"states": [27, 58], "expectation_value": -0.773385516788287, "params": [[0.27340000000000003], [-0.2723]], "bitstrings": ["100100", "000101"], "total_optimization_steps": 30, "probabilities": [0.02969014063935814, 0.030690686780503525], "optimization_time": 1.1106786727905273} | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666667, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.16214546955160306) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.22491485439004527) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.025174145796419637) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.22491485439004527) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIZII",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.41666666666666663,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.5833333333333335,
0.7916666666666666,
0.45833333333333326,... | 0.73332 | [
0.16214546955160306,
0.22491485439004527,
0.025174145796419637,
-0.37644859501658173,
1.4754142455010868,
0.5164258357207374,
0.6091930284475785,
1.546925657469266,
0.22147718209474057,
-0.19456292105591871,
-1.049876281101656
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 216 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [213, 118], "expectation_value": -0.0545818100547778, "params": [[-0.0264, 0.026500000000000003, 0.051300000000000005, 0.0086], [0.0531, 0.0025, -0.039400000000000004, -0.0275]], "bitstrings": ["00101010", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004307129178598334, 0.0043071291785983... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
36bc612e0322886e175cda5a18a8b6d9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [242, 122], "expectation_value": -10.458964783816732, "params": [[-0.0351], [0.0644]], "bitstrings": ["00001101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006597307524939979, 0.006916140287872975], "optimization_time": 1.9780573844909668} | 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(0) @ Z(4)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 20.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.4699154184693155) q[0];
ry(3.0826136600441525) q[0];
rz(-1.6721583245249416) q[0];
rz(1.768561346757501) q[1];
ry(0.19489232234323764) q[1];
rz(-1.625383124529531) q[1];
rz(-0.034525061410001) q[2];
ry(2.896149928164988) q[2];
rz(2.9825217145872758) q[2];
rz(1.7899... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[4];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIIIZIZ",
"IIIIZZII",
"IZIZIIII",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
21.5,
11,
18.5,
20.5,
6.5,
3.5,
-1.5
] | 0.978477 | [
1.1355541671065803,
-0.003527757263542479,
-0.02301594544299391,
0.18718982180600888,
1.243676337170396,
-0.14491975384512418,
1.1374533430750573,
-0.016779840620245096,
-0.10700372813155366,
0.7292634592177971,
-0.2737777493242993,
0.3168756280992109,
0.6444637049918576,
0.042181266961096... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 13 |
5f79bb35bd8dc69bae5409f6ad22880d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -12.78833675817647, "params": [[-0.0345], [0.0804]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0040424253576768114, 0.004569325331640214], "optimization_time": 2.049429416656494} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.17775491171863128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.17775491171863128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.17775491171863128) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.17775491171863128) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18.5,
7.5,
17,
10,
9,
14,
3.5,
14.5,
3
] | 0.972269 | [
-0.17775491171863128,
0.7422707239645959,
-0.7137277656696318,
1.6903885489159691,
0.7844568988491945,
-0.5365404642561677,
1.9330020999914095,
-1.083635569950808,
1.1994395883958007,
-0.9472891092943098,
-0.0656266765701447,
0.20635363420558683,
0.5554917030294928,
-0.8286751457896198,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 67 |
15c9cf379682fc2ae7cd2865e5790ded | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [980, 468], "expectation_value": -82.59570244215753, "params": [0.7515000000000001, -0.3191, 1.3959000000000001, -0.023200000000000002, 1.4002000000000001, 0.0015, 1.3937000000000002, 0.23390000000000002, 0.7484000000000001, 0.4224, 1.4033, 0.21300000000000002, 0.5859, 0.3754, 1.401, 0.0405, -0.0031000000000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 14.5 * Z(2) + 20.0 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 184.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.35234873206183653) q[0];
rz(-0.7712426805716253) q[0];
rx(1.6272904766521847) q[1];
rz(-0.13728768429118102) q[1];
rx(1.7960524401953242) q[2];
rz(0.01932397701002524) q[2];
rx(1.4666117361477031) q[3];
rz(0.08722452721063861) q[3];
rx(0.06843251735117178) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9,
14.5,
20,
9,
9,
18.5,
7,
15.5,
-5,
-8.5
] | 0.974021 | [
0.35234873206183653,
-0.29614192086318497,
1.6272904766521847,
-0.13728768429118102,
1.7960524401953242,
0.01932397701002524,
1.4666117361477031,
0.08722452721063861,
0.06843251735117178,
0.6574199464828389,
1.6473572286634803,
0.32653713806469803,
0.09090323830737942,
0.11266910978171665,... | {
"n_parameters": 55,
"n_qubits": 10,
"optimal_eigenvalue": -108,
"target_ratio": 0.97,
"target_value": -104.75999999999999
} | 16 |
cba3c0f3028bedd24c97c562399fe60f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 7], "expectation_value": -12.05337476454533, "params": null, "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.26693860846756895, 0.4113682666829968], "optimization_time": 79.6927740573883} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [48, 12], "expectation_value": -1.5964871060514998, "params": [[0.0722, 0.054900000000000004, 0.0385], [-0.0844, -0.0584, -0.0419]], "bitstrings": ["1001111", "1110011"], "total_optimization_steps": 10, "probabilities": [0.012775290596321263, 0.013529683856361907], "optimization_time": 5.15213418006897} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10524944140705385) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10524944140705385) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10524944140705385) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.10524944140705385) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1.5,
-1,
-1
] | 0.965602 | [
0.10524944140705385,
1.6178561021277917,
0.5876842409715187,
0.2839976003443462,
2.197319763470432,
-0.4187489091311876,
-2.4201465484847358,
1.7324458825809739,
0.9317579780948072,
0.39011893728927943,
1.547836175680747,
0.301634374518978,
-4.133975839128747,
-2.606956390131871,
-0.3203... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 500 |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [12, 13], "expectation_value": -1.520451548910759, "params": [0.0011, 0.4766, 0.5929, 0.004, 1.9551, 0.0, -0.0034000000000000002, 0.9921000000000001, 1.665, 0.0039000000000000003, 0.0011, 1.6782000000000001, 1.0995000000000001, -0.0032], "bitstrings": ["10011", "10010"], "total_optimization_steps": 210, "pro... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 4 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
-7592907852367266095 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [0, 232], "expectation_value": 0.3141638269530037, "params": [0.6092000000000001, 0.0022, 0.6005, 0.0034000000000000002, 0.6021000000000001, 0.0016, 0.6061000000000001, 0.0024000000000000002, 0.6065, -0.0028, 0.5989, 0.0076, 0.6054, -0.0061, 0.6027, 0.0071, 0.6011000000000001, 0.0025, 0.6009, 0.0073, 0.6085,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["11101000", "00010111"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.5266310919584748) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0.5266310919584748) q[7];
cx q[4], q[7];
cx q[0], q[7];
cx q[4], q[3];
rz(-0.5266310919584748) q[3];
cx q[4], q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIZIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.38134 | [
-0.5266310919584748,
4.8933598273202355e-8,
0.6800196854615808
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 16.723056077957153} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
8fcf50f85ec3dd02c0199581a34889e9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [1020, 1011], "expectation_value": -0.645581731347523, "params": [[-0.06430000000000001], [0.0699]], "bitstrings": ["0000000011", "0000001100"], "total_optimization_steps": 10, "probabilities": [0.0013628379976701284, 0.0013628379976701288], "optimization_time": 2.0372681617736816} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + -1.5 * Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000001111", "0000000011", "0000001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17964282078365862) q[0];
rz(-1.4325178214387142) q[0];
rx(0.13177528306522893) q[1];
rz(1.6866205701580137) q[1];
rx(3.0459017455715838) q[2];
rz(1.6140134416492646) q[2];
rx(-2.3270221287958153) q[3];
rz(1.4220167681406473) q[3];
rx(2.1839997313437873) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1.5,
1
] | 0.971241 | [
0.17964282078365862,
3.2798711589459755,
0.1317752830652289,
0.11582424336311689,
-3.237283561608003,
0.0432171148543675,
-2.3270221287958153,
-0.1487795586542503,
2.1839997313437873,
0.13580493609640423,
-1.7368219800039917,
0.12714822573027604,
0.005937208965064021,
1.3158115210729797,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 220 |
29004bac2fe574e2f5aabd6e5bd80baf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [113, 625], "expectation_value": -8.510582061229764, "params": [[[1.6025, 0.0048000000000000004, 0.0017000000000000001, 0.0046], [0.0026000000000000003, 0.7028, 0.0019, 0.0014], [-0.0032, 0.0024000000000000002, 0.0073, 0.007200000000000001], [0.6343, 0.0023, 1.2591, 0.0008], [1.599, 0.0035, 0.002400000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["0110001110", "0100001111"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.5400821362107786) q[0];
rz(-0.3485030961322224) q[0];
ry(0.02916723109459355) q[1];
rz(0.6549999935680959) q[1];
cz q[1], q[0];
ry(0.050105731264940195) q[1];
ry(0.02782602258752173) q[2];
rz(-0.28768124764327985) q[2];
ry(1.048144346899641) q[3];
rz(-0.0069907909... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-0.5,
-1.5,
-1.5,
-0.5,
-1.5,
-2.5,
-1.5,
-0.5,
-2
] | 0.971836 | [
2.5400821362107786,
-0.3485030961322224,
0.02916723109459355,
0.6549999935680959,
0.02782602258752173,
-0.28768124764327985,
1.048144346899641,
-0.0069907909377619265,
3.272977687321197,
-0.2594116734616281,
-0.038410848939072734,
-0.24196863854670247,
-0.10846821886219604,
0.3996440388402... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 22 |
5d757bdb9520d74b88797f6c51e8e41f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [52, 53], "expectation_value": -3.712076563319181, "params": [[[0.0048000000000000004, 0.23500000000000001], [0.0187, 0.22160000000000002], [0.49910000000000004, -0.0009000000000000001], [0.5014000000000001, 0.0037], [-0.0176, -0.2523], [0.5013000000000001, 0.0029000000000000002], [0.29150000000000004, 0.092... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["11001001", "11001010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-1.9136136863394597) q[0];
ry(0.16181768526642623) q[0];
rz(2.5607556206845343) q[0];
rz(-2.858218634833193) q[1];
ry(0.07279956918758233) q[1];
rz(-2.5948160863069294) q[1];
rz(-2.6858217142765177) q[2];
ry(2.9923187534785503) q[2];
rz(0.2098965024055497) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.980477 | [
-0.16103360255582347,
0.20062631647375018,
-0.10059172349635113,
0.30302891707362667,
0.5565846582413954,
0.005766501976980767,
0.4575524444120212,
-0.039747820512957346,
0.07054365626264819,
-0.1169535356843141,
1.0377884734461778,
-0.10657766603247237,
-0.07922777313274242,
0.31766594994... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
2037c68aca19f83c01748f0e59e08f2f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2044, 2047], "expectation_value": -11.268824428464379, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.12346969832224386, 0.3704509157605586], "optimization_time": 230.76722717285156} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.9295506563086005) q[0];
rz(2.2807623343092303) q[0];
rx(-0.8567996128266898) q[1];
rz(3.1328596491862264) q[1];
rx(-0.2697593181754737) q[2];
rz(2.6047706566442557) q[2];
rx(-0.4650308578495124) q[3];
rz(2.623956812406524) q[3];
rx(-0.7835008226917056) q[4];
rz(3... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.865269 | [
-0.9295506563086007,
0.7099660075143339,
-0.85679961282669,
1.5620633223913303,
-0.2697593181754737,
1.03397432984936,
-0.4650308578495125,
1.0531604856116272,
-0.7835008226917056,
1.5242732318561738,
-0.626126329901162,
1.2296018887015683,
0.35462332305321204,
1.9093382549555464,
0.7073... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
9018084878276581674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 3], [0, 2]]} | {"states": [18, 24], "expectation_value": -0.031192416878079277, "params": [[0.06910000000000001], [-0.0766]], "bitstrings": ["01101", "00111"], "total_optimization_steps": 10, "probabilities": [0.033230100111850416, 0.033230100111850416], "optimization_time": 0.8159139156341553} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["11000", "10010", "00111", "01101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.587574476341225) q[0];
h q[1];
ry(-0.587574476341225) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.587574476341225) q[1];
cx q[3], q[1];
ry(-0.7248980832143264) q[1];
ry(1.3289814574374292) q[3];
h q[4];
cx q[4], q[0];
ry(0.587574476341225) q[0];
cx q[4], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
rz(x1) q[4];
rz(x1) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"ZIIIZ",
"IZIZI",
"IIZIZ",
"ZIIII",
"IIIIZ",
"IZIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974175 | [
-1.17514895268245,
1.1902003328642206,
-0.9219636094121713,
1.5055154782764275,
-0.4722648309212851,
0.27756224914641736,
0.3198515543842288,
-0.1165593611533683,
-0.5052665045860828,
0.03822915822704296,
-0.036596436786424755,
0.0267627491036797,
-0.2446538645617895,
-0.05136497759405422,... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 16 |
-2461288759815049749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6, 7], [0, 1, 4, 5, 7], [0, 1, 2, 4, 6], [1, 2, 4, 5, 6], [0, 3]]} | {"states": [91, 125], "expectation_value": -0.6522991364991509, "params": [[-0.4163], [0.4179]], "bitstrings": ["10100100", "10000010"], "total_optimization_steps": 50, "probabilities": [0.01018281983261773, 0.010221892817848776], "optimization_time": 2.154147148132324} | 0.21666666666666667 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.1 * (Z(1) @ Z(6)) + 0.1 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(7)) + 0.1 * (Z(1) @ Z(0)) + 0.1 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(5)) + 0.05... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.4333333333333331, "smallest_bitstrings": ["01110001", "001110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.015857050808039203) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.009588880686081686) q[7];
cx q[6], q[7];
cx q[5], q[7];
cx q[6], q[0];
rz(0.005104007117907341) q[0];
cx q[6], q[0];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IZIIIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIZIIII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IZIIIZII",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIIZ",
"IZIIIIII",
"IIZIIII... | [
0.21666666666666667,
0.16666666666666666,
0.21666666666666667,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.1,
0.1,
0.1,
0.05,
0.1,
0.15000000000000002,
0.1,
0.05,
0.05,
0.1,
0.1,
0.5,
0.3666666666666666,
0.3666666666666667,
0.26666666666666666,
0.19999999999999996,
0.299999... | 0.976105 | [
0.015857050808039203,
0.009588880686081686,
0.005104007117907341,
0.06153900069598961,
0.06104427662148909,
-1.9966633836032746,
-1.685993211027582,
1.7859630511450924,
1.5048988422559828,
-1.852367246694488,
-1.607743409152693,
1.436839861674341
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -1.4333333333333333,
"target_ratio": 0.97,
"target_value": -1.3903333333333332
} | 111 |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [46, 39], "expectation_value": -5.4998990634603295, "params": null, "bitstrings": ["1010001", "1011000"], "total_optimization_steps": 35, "probabilities": [1.6414459407698138e-05, 0.9999303761362124], "optimization_time": 27.82280468940735} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
5bdb4f57734384bf2a68859dd05ed4fb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 108], "expectation_value": -1.6049028585777336, "params": [-0.0027, 0.0068000000000000005, 1.6067, 0.0097, 1.6059, 0.0036000000000000003, 0.0022, 0.0018000000000000002, 1.5983, 0.0018000000000000002, 1.6109, 0.0054, 1.2875, 0.0082, 1.2575, 0.0033, 0.0071, 0.0039000000000000003, 0.00030000000000000003, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010010", "10010011", "10011001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7235365899006052) q[0];
rz(0.04091209905854942) q[0];
rx(1.6976230923564013) q[1];
rz(0.3870022778155879) q[1];
cx q[1], q[0];
rz(-0.140202195431205) q[0];
cx q[1], q[0];
rx(-0.6165268649626051) q[0];
rz(-0.7984180064936037) q[0];
rz(-0.1745478764378946) q[1];
rx(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IZIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIZII",
"ZIZIIZII",
"ZZIIIZII",
"ZZZIIIII",
"ZZZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
-0.25,
0.125,
-0.75,
-0.25,
0.125,
-0.125,
-0.125
] | 0.973487 | [
0.7235365899006052,
-0.09929009637265566,
1.6976230923564013,
0.3870022778155879,
1.6872124131240298,
-0.17004850178026015,
0.05426071222358306,
-0.3657319068593214,
1.7002211751850742,
0.11502288332261729,
1.365368787129267,
0.16658572758670925,
-0.027191421962645304,
0.7644374577556309,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 45 |
a7c1a2a930dec981f8dd952025d25fae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [146, 178], "expectation_value": -4.3039688384630646, "params": [0.133, 0.1305, 0.5072, 0.5087, 0.0037, 0.0028, 0.48140000000000005, 0.4848, 0.5067, 0.5011, 0.0155, 0.0108, 0.019700000000000002, 0.0179, 0.5077, 0.502, -0.0057, -0.0, 0.13290000000000002, 0.1257, 0.5017, 0.5062, 0.0004, -0.0026000000000000003,... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + -1.0 * Z(6) + -0.5 * Z(0) + -0.5 * Z(7) + -1.5 * Z(2) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["010100111", "101101001", "111100001", "110100011", "101001101", "001011110", "001001111", "101011100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.026324812327235776) q[0];
rz(0.13302792629248267) q[0];
ry(0.8959318035130973) q[1];
ry(-0.08879881471571889) q[2];
ry(0.5980557660354505) q[3];
ry(0.7378351683356685) q[4];
ry(-0.047763331030587025) q[5];
ry(-0.08403403167259843) q[6];
ry(0.8268448982467249) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIZIII",
"IIIIIZZII",
"IIIZIZIII",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-1.5,
0
] | 0.973473 | [
-0.026324812327235776,
0.8959318035130973,
-0.08879881471571889,
0.5980557660354505,
0.7378351683356685,
-0.047763331030587025,
-0.08403403167259843,
0.8268448982467249,
-0.06269147885381993,
0.26605585258496534,
-0.16317407111501464,
0.2607550814904307,
0.20928877183500572,
0.125659890833... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 8 |
3752093b82ed107b6f6f5e75324b3162 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 119], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10000000", "10001000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 76.59700727462769} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
-6367354658528652707 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 4, 7], [0, 2, 7], [3, 6], [1, 2, 3, 4, 7], [2, 5]]} | {"states": [85, 213], "expectation_value": -1.0253041949557054, "params": [[[1.6052000000000002, 0.007, 0.0038, 0.001], [0.398, 0.0033, 1.5266000000000002, 0.0098], [-0.006, 0.0026000000000000003, 0.0022, 0.0058000000000000005], [0.8816, 0.0026000000000000003, 1.1343, 0.00030000000000000003], [0.1501, 0.0071, 0.0028, 0... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.21666666666666667 * (... | 12 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337, -1.7833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["00101010", "01100010"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(2.698522170509771) q[0];
rz(-0.16195992080205046) q[0];
ry(-0.03756100411745639) q[1];
rz(-0.7004292563261008) q[1];
cz q[1], q[0];
ry(-2.93135795549515) q[1];
ry(-0.032351268347822676) q[2];
rz(-0.12427453362654294) q[2];
ry(0.7911287838593611) q[3];
rz(-0.124274533... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIZII",
"IIIIZIZI",
"IIIZZIII",
"ZIIIZIII",
"IIIIZZII",
"IZIIZIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIII... | [
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.25,
0.13333333333333333,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.22499999999999995,
0.29166666666666663,
0.22499999999999995,
0.39166666666666... | 0.975372 | [
2.698522170509771,
-0.16195992080205046,
-0.03756100411745639,
-0.7004292563261008,
-0.032351268347822676,
-0.12427453362654294,
0.7911287838593611,
-0.07891888835723834,
-0.01837779070214088,
0.684570931116042,
-0.014711618882520927,
-0.23346254907652692,
-0.04985157991639172,
3.058602831... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -1.7833333333333337,
"target_ratio": 0.97,
"target_value": -1.7298333333333336
} | 11 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 77.84537053108215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 15.82285213470459} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
74fac64ced95adb2031c8f632fdb5d7f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [249, 185], "expectation_value": -2.588594063578063, "params": [[[0.0027, 0.8863000000000001], [0.387, -0.395], [1.1991, 0.004200000000000001], [0.7069000000000001, 0.24200000000000002], [1.1976, 0.0044], [0.9051, -0.0396], [1.208, 0.0044], [0.0027, 0.7452000000000001], [0.1524, -0.5259], [1.2039, -0.003]], ... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(2))... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100010110", "1100001110", "1100000111", "1100100101", "1110000101", "1010010110", "1010010101", "1001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8012883905058786) q[0];
rz(1.8410028802801364) q[0];
rx(0.8941721514024139) q[1];
rz(1.322891233007514) q[1];
rx(0.7727609472264901) q[2];
rz(1.5332188129694337) q[2];
rx(-0.07067154001142846) q[3];
rz(2.2909535443331634) q[3];
rx(-0.11738637931317542) q[4];
rz(1.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZZIIZI",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIIIZIZII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIIZIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"ZIIIIIZIII",
"IIIZZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.75,
0,
0,
0.125,
0,
0.125,
0.125,
-0.75,
-0.25,
-0.12... | 0.971649 | [
0.8012883905058786,
0.2702065534852398,
0.8941721514024139,
-0.24790509378738235,
0.7727609472264902,
-0.03757751382546295,
-0.07067154001142845,
0.720157217538266,
-0.11738637931317543,
-0.28800593110806094,
0.04230625824022197,
-0.05250308397549247,
0.5394946952850757,
0.1691257209564990... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 24 |
bba2e06053fa3c8a9a710a4bd3703eb1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [48, 51], "expectation_value": -5.499934084013951, "params": null, "bitstrings": ["1001111", "1001100"], "total_optimization_steps": 33, "probabilities": [1.3834661288391691e-05, 0.9999481826822721], "optimization_time": 25.784983158111572} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.20114804250361765) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.20114804250361765) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.5448829019394585) q[1];
rx(-1.4659658311578172) q[1];
rz(0.20114804250361765) q[4];
cx q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.865455 | [
0.20114804250361765,
0.5448829019394584,
-1.032970517939543,
0.4736712255784174,
1.0508280684852456,
-1.4659658311578172,
0.5456458777217237,
-0.10953584608557748,
-0.37646442800846214,
-0.13348686815000904,
-1.0425535039283687,
0.39545867198032075,
1.1703587779377986,
-1.9860700753402072,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 439 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -4.576045527116833, "params": [[-0.14120000000000002, -0.0333, 0.11420000000000001], [0.1723, 0.1139, 0.027700000000000002]], "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [0.04201021778637168, 0.050548028420961726], "optimization_time": 3... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
94b4685949b0232e6f45bdcd5b80e7ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [356, 358], "expectation_value": -2.986450042066881, "params": [[[0.3748, -0.0043, 0.0077, 0.0056], [0.0015, 0.030600000000000002, 1.5393000000000001, 0.0038], [1.5248000000000002, 0.004200000000000001, 0.12050000000000001, 0.067], [0.0714, -0.0019, 1.4949000000000001, 0.0033], [1.1389, 0.029900000000000003,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
-0.125,
0.25,
-0.625,
-0.25,
... | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3, 66], "expectation_value": -5.411631293733467, "params": null, "bitstrings": ["1111100", "0111101"], "total_optimization_steps": 20, "probabilities": [0.060126454979050156, 0.7888190124847682], "optimization_time": 16.15819525718689} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10524944140705385) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10524944140705385) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10524944140705385) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.10524944140705385) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1.5,
-1,
-1
] | 0.965602 | [
0.10524944140705385,
1.6178561021277917,
0.5876842409715187,
0.2839976003443462,
2.197319763470432,
-0.4187489091311876,
-2.4201465484847358,
1.7324458825809739,
0.9317579780948072,
0.39011893728927943,
1.547836175680747,
0.301634374518978,
-4.133975839128747,
-2.606956390131871,
-0.3203... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 500 |
16efd0d1722058bdcecd0a47f621047a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [204, 205], "expectation_value": -1.133046465282131, "params": [1.0063, 0.15080000000000002, 0.8528, 0.2803, 0.6121, 0.2629, 0.0021000000000000003, 0.7386, 1.0064, 0.0021000000000000003, 0.9537, 0.18050000000000002, 0.6062000000000001, 0.21960000000000002, 0.8304, 0.2069, 1.0024, 0.0097, 0.8452000000000001, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(2))... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010001", "00110010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIIZZIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IZZIIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZZIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
0,
0,
-0.75,
0,
0,
0,
0
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
1864592720b05b8d956573b849e23700 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 20, "source... | {"states": [218, 210], "expectation_value": -46.58926726855316, "params": [-0.0026000000000000003, 0.006900000000000001, 3.0939, 0.0055000000000000005, 3.0968, 0.0006000000000000001, 0.0019, 0.006500000000000001, 3.0954, 0.00030000000000000003, 1.4759, 0.00030000000000000003, -0.002, 0.009000000000000001, 3.08600000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) +... | 3 | 9 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.5, "smallest_bitstrings": ["100101101"], "largest_eigenvalue": 75.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.2129090357950254) q[0];
ry(0.024715796711138882) q[0];
rz(-0.4109268208796646) q[0];
rz(-1.8024463517412617) q[1];
ry(3.080746184191271) q[1];
rz(1.171614686511071) q[1];
rz(-2.3863936565111104) q[2];
ry(2.961608986614027) q[2];
rz(0.6621180651256138) q[2];
rz(-2.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
-8,
-5,
4,
1.5,
8.5,
-4,
3.5,
-3
] | 0.979611 | [
0.015313760243266722,
0.5472387456909172,
0.6139105138713153,
0.0063430058130072055,
0.7070224779960896,
0.1040275336856543,
-0.059828685699202994,
-0.34361006820596157,
0.799044986176745,
-0.06575191747966369,
0.03487516176225415,
0.43304386678410106,
-0.22477921914397708,
-0.481951186810... | {
"n_parameters": 56,
"n_qubits": 9,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 11 |
6ed1ddb0c37b8c42f6032d980e7fb546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [2, 63], "expectation_value": -5.57340226303451, "params": [[0.1404, 0.2541, 0.31770000000000004, 0.3079], [-0.5571, -0.2275, -0.1346, -0.1091]], "bitstrings": ["1111101", "1000000"], "total_optimization_steps": 140, "probabilities": [0.08293232071835077, 0.0831848926818608], "optimization_time": 12.67060279... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.024454446097182985) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3069541494970769) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.024454446097182985) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-6.822630483254212e-06) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-0.75,
-0.25,
-1.25,
0.5,
-0.25,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0.25,
-0.25,
-1.75,
0,
-0.75,
-1,
3.5
] | 0.828374 | [
-0.024454446097182985,
0.3069541494970769,
-0.000006822630483254212,
-3.1278555237590693,
0.00014199144815494222,
-0.01953305798076947,
-1.570534837818748,
-1.5705391428806783,
-1.5708192020044294,
-1.5708952581243638,
1.5687173531789174
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 333 |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -1.2587840253679061, "params": [[-0.0709, -0.07250000000000001, -0.058300000000000005, -0.0558], [0.0758, 0.07780000000000001, 0.0678, 0.066]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.03195771722446888, 0.037381041605855495], "opt... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
460c923df83f30f22def2c9af8610a90 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [98, 67], "expectation_value": -4.4965155484111925, "params": null, "bitstrings": ["0011101", "0111100"], "total_optimization_steps": 26, "probabilities": [0.06700896400155715, 0.9297460623239685], "optimization_time": 20.052170753479004} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110110", "0111100", "0011101", "0001111", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.12233641357649425) q[0];
cx q[4], q[0];
rz(0.3765696952853905) q[0];
rx(-1.2769170506152017) q[0];
cx q[4], q[1];
rz(0.12233641357649425) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.12233641357649425) q[3];
cx q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"IIZIZII",
"IIIZZII",
"ZIIIZII",
"IZZIIII",
"IZIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-1.5,
-1
] | 0.922154 | [
0.12233641357649425,
-1.2934414187902954,
0.37656969528539047,
-0.6503855682493497,
0.8038693115633776,
-1.2769170506152019,
0.9043538820045093,
-1.693141488697201,
-0.90289687204353,
-1.4194505451237325,
-0.5705143914878514,
0.4995326822605433,
-2.886443753675267,
-1.9763964731451829,
0... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
ffec7a0ab344b923f33f7859704e9a2a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [0, 1788], "expectation_value": -11.758769589460115, "params": [0.2189, 0.2994, -0.501, 0.0068000000000000005, -0.6844, 0.4733, 0.6162000000000001, 0.0034000000000000002, 0.0083, 1.9168, 0.0027, 0.0012000000000000001, -0.8594, 0.5532, 0.6873, 0.0088, 0.8932, 0.7879, -0.038400000000000004, 0.0099, 0.9229, 1.1... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00100000011"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.2795364178404118) q[0];
rz(1.538788189785131) q[0];
rx(-0.4093726629896308) q[1];
rz(1.7542573988099033) q[1];
rx(0.24896977731636524) q[2];
rz(1.7125529614414674) q[2];
rx(-1.968762293285154) q[3];
rz(1.4615155665475044) q[3];
rx(1.9239499809535963) q[4];
rz(1.59... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIZIIII",
"IIZIZIIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
-1.5,
0.5,
-1.5,
-2,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.971619 | [
1.2795364178404118,
-0.03200813700976547,
-0.4093726629896309,
0.18346107201500617,
0.24896977731636524,
0.1417566346465705,
-1.9687622932851543,
-0.10928076024739203,
1.9239499809535965,
0.02003081201581544,
1.1205421864822709,
0.11272630146688317,
3.215592628130861,
0.37741309875279694,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 485 |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -7.432080766278878, "params": [0.2, -0.25470000000000004, 0.1124, -0.2797, 0.19990000000000002, 0.22660000000000002, 0.2611, 0.26280000000000003, 0.5805, 0.1206, 0.5068, 0.18100000000000002, 0.4456, 0.1864, 0.1988, -0.26180000000000003, 0.1126, -0.3027, 0.2029, 0.234, 0.226100000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
32320a7b125d6000b99bf4a938a5a3c6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 9}, {"capac... | {"states": [1022, 319], "expectation_value": -3.956253400354706, "params": [[-0.17370000000000002], [0.1721]], "bitstrings": ["0000000001", "1011000000"], "total_optimization_steps": 20, "probabilities": [0.005223536687164228, 0.005521752365053684], "optimization_time": 3.377075433731079} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -1.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1011000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.6349557881089044e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(3.6349557881089044e-08) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[9];
rz(-5.618622454305745e-09) q[9];
cx q[1], q[9];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZZIIIIIII",
"IZIIZIIIII"... | [
-0.75,
-0.75,
-0.5,
1.75,
-0.25,
-1,
-1,
-0.75,
-1,
-0.25,
-0.75,
-1.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-1.5,
0.25,
-0.25,
-3.25,
0.5,
1.5,
0.5,
-1.25,
0,
0.5,
1.5
] | 0.826811 | [
3.6349557881089044e-8,
-5.618622454305745e-9,
7.333891443370449e-8,
0.11044854873420983,
-1.559723850494293e-8,
0.5379924998306946,
8.202520204171157e-8,
-1.5707962636696438,
1.5707963510237022,
-1.5707962927379586,
-1.5707963087815788,
-1.5707963229959854,
1.570796332104338
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 288 |
1daa66d6080eab6b49a4e26a126b9888 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [262, 326], "expectation_value": -5.092157624686867, "params": [[[0.5043, 0.0004], [0.0673, -0.22740000000000002], [0.41540000000000005, -0.0019], [0.36300000000000004, 0.0437], [0.0239, 0.2422], [-0.0043, -0.28650000000000003], [0.48810000000000003, -0.0005], [0.5029, 0.0022], [0.0018000000000000002, 0.265]... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["011011001", "101011100", "111011000", "010111001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.5913940178979455) q[0];
ry(2.9608155738410322) q[0];
rz(-1.3432501557909569) q[0];
rz(-1.2910352631252417) q[1];
ry(0.11406757496816342) q[1];
rz(0.9548052476082534) q[1];
rz(-0.11469089734538196) q[2];
ry(2.9664258374744685) q[2];
rz(-3.038558750884728) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIZIIIIZI",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZIZIII",
"IIIIIZZII",
"ZIIIZIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2.5,
-1.5,
-0.5,
-1,
-0.5,
-1,
-0.5
] | 0.972097 | [
0.44991622299757084,
0.0015633869583248639,
0.032106014305568815,
0.07886371561391789,
0.6904583136290751,
-0.13911821388908638,
0.2505903191882657,
-0.04130573773622557,
-0.20453740286625868,
0.3108616035055382,
0.0197000359768858,
-0.3470682144307289,
0.7157437608074283,
-0.1110831970756... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 14 |
26d7f56e59bfdf48052023802b40605b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -1.6051151741896512, "params": [[0.0674], [-0.0733]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.03856039665036603, 0.03921178014852349], "optimization_time": 1.1697981357574463} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -36.021967064961004, "params": [0.0046, 0.6277, 0.0015, 0.6322, -0.0002, 0.5412, -0.0054, 0.653, -0.4894, 0.04, -0.31020000000000003, 0.19010000000000002, 0.004200000000000001, 0.5711, 0.012100000000000001, 0.5501, -0.0029000000000000002, 0.6938000000000001, 0.0028, 0.7226, -0.... | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 6 | 10 | 4 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5355832492014104) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.3128776199268214) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.5355832492014104) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.5355832492014104... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
-3,
1,
-3,
-3,
-3.5,
1.5,
1,
1,
-2.5,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
-3,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1.5,
1,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.568701 | [
0.5355832492014104,
0.3128776199268214,
0.4701458484266868,
0.3463986549924006,
0.7177270089472799,
1.2240145629974246,
0.8160185914655327,
0.10087803803075286,
1.0916096411102334
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 226 |
00c47f772e828bc0d4453cbe4002ef93 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [33, 97], "expectation_value": -2.712155139084176, "params": [0.8631000000000001, 0.00030000000000000003, 0.9048, 0.0172, 0.1985, 0.5603, 0.1648, 0.5585, -0.0059, 0.5691, 0.5281, 0.5504, 0.9093, 0.013300000000000001, 0.8543000000000001, 0.0013000000000000002, 0.8995000000000001, 0.0014, 0.19260000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1010110", "1011100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"IIZIIZI",
"IIIIZZI",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
9d1382902993d8e771af3489e0021226 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.450629330461544, "params": [0.3396, -0.8013, 1.5884, -0.059300000000000005, 1.5825, -0.0106, 1.4799, -0.006, 1.5735000000000001, -0.0862, 0.8138000000000001, -0.054, 0.0029000000000000002, 0.8417, 1.5790000000000002, 0.4227, -0.0034000000000000002, 0.8163, 0.3448, 0.003600... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
7010639097345943315 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [0, 1, 4, 6, 7, 8], [4, 5, 6], [0, 1, 2], [3, 4]]} | {"states": [343, 341], "expectation_value": -1.6696144726966942, "params": [1.6847, -0.0465, 1.4339000000000002, 0.0079, 0.3765, 0.0205, 0.1772, 0.0088, 1.7724, -0.0414, 1.2944, 0.0091, 0.11420000000000001, -0.045200000000000004, -0.1068, 0.0092, 1.651, -0.0482, 1.4508, 0.0007, 0.7227, -0.024800000000000003, -0.014, 0.... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.19999999999999998 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.7, -1.7, -1.7, -1.7, -1.7, -1.7], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010101010", "010101001", "001010010", "010100100", "100010000", "001010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.6486394170795653) q[0];
rz(1.7015531979280674) q[0];
rx(0.06509723871567712) q[1];
rz(1.4290601369774185) q[1];
rx(2.07797338098137) q[2];
rz(1.539184432565996) q[2];
rx(0.11581422082275798) q[3];
rz(1.7058789907693486) q[3];
rx(1.6892297449888873) q[4];
rz(1.66779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZZIIII",
"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333... | 0.975702 | [
1.648639417079565,
0.13075687113317122,
0.06509723871567712,
-0.14173618981747807,
2.07797338098137,
-0.03161189422890007,
0.11581422082275797,
0.13508266397445176,
1.6892297449888873,
0.09699628132769574,
0.8268917720021925,
0.06054544094778923,
1.6001126211490382,
0.16944766278073825,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -1.7,
"target_ratio": 0.97,
"target_value": -1.649
} | 44 |
-1730068884763605341 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [2, 4, 5, 6], [8, 3, 6], [0, 8], [0, 1, 2, 6], [1, 4, 5, 6, 7], [8, 1, 7]]} | {"states": [197, 213], "expectation_value": -2.2152050892010062, "params": null, "bitstrings": ["100111010", "100101010"], "total_optimization_steps": 61, "probabilities": [0.10064093920652509, 0.6543622091462004], "optimization_time": 95.644606590271} | 0.5 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["100101010", "100110010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.32794441489985965) q[0];
h q[1];
ry(1.1497498362841732) q[1];
h q[2];
h q[3];
ry(-0.4731307398343721) q[3];
cx q[2], q[3];
ry(0.4731307398343721) q[3];
cx q[2], q[3];
ry(1.1074211763180724) q[2];
ry(-1.0879898269151522) q[3];
h q[4];
h q[5];
ry(-0.27817772... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4576) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IZIZIIIII",
"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.05,
0.05,
0.13333333... | 0.970484 | [
1.4507743760211647,
1.1497498362841732,
-0.6558888297997193,
1.0049479853763064,
-0.9462614796687442,
0.7721449820968411,
-0.8746228270378507,
-0.7907512717910193,
0.4522784310602848,
0.6705523884424623,
-0.4641878804926319,
-0.426733999754603,
-0.7162660611011143,
0.17612845287463746,
-... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 17 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 15.108561515808105} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 9.309940099716187} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
e1ee122704659894b3696f576081a2cf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -8.656694521772218, "params": [[-0.048400000000000006], [0.058300000000000005]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0035556426470776522, 0.004130286903911148], "optimization_time": 1.949934482574463} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 6], "expectation_value": -3.678756111723996, "params": [[0.06960000000000001, 0.0519, 0.0505], [-0.07680000000000001, -0.055, -0.049100000000000005]], "bitstrings": ["10110", "11001"], "total_optimization_steps": 10, "probabilities": [0.06246350187044365, 0.06246350187044368], "optimization_time": 3.5332... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
e543ef7ed69757cb61258022eb86ed78 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [983, 967], "expectation_value": -1.29686601022583, "params": [-0.0026000000000000003, 0.0045000000000000005, 1.9038000000000002, 0.0082, 1.9117000000000002, 0.0048000000000000004, 1.9085, 0.008, 1.9038000000000002, 0.0029000000000000002, 1.4993, 0.0058000000000000005, 1.5021, 0.0005, 0.9759000000000001, 0.0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.75, "smallest_bitstrings": ["11000100010", "10010101000", "11000010100", "10000111000", "10001001001", "10000101001", "10100011000", "10000011100", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052185128703478426) q[0];
cx q[1], q[0];
rz(1.046584799192459) q[1];
rx(-1.613196828974346) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.052185128703478426) q[3];
cx q[0], q[3];
h q[4];
cx q[3], q[4];
rz(0.052185128703478426) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IZIIIIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.971829 | [
0.052185128703478426,
1.0465847991924586,
-1.5706449106624083,
1.423283186832915,
1.1795112473426732,
-1.6131968289743461
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 28 |
415e9c4b894952859f5e50d01e57c345 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [1020, 1023], "expectation_value": -1.0735907883575293, "params": [[-0.0608], [0.0741]], "bitstrings": ["0000000011", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0015003012786009326, 0.0015527983471704007], "optimization_time": 2.387488603591919} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.5219217942087042) q[0];
h q[1];
h q[2];
ry(0.6569051387250595) q[2];
cx q[1], q[2];
ry(-0.6569051387250595) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.5219217942087042) q[0];
cx q[1], q[0];
ry(0.45992294827755803) q[1];
h q[3];
ry(0.6569051387250595) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.908304 | [
1.313810277450119,
1.0438435884174084,
1.681627772638002,
0.7814045237988448,
0.9198458965551161,
2.330310681959373,
1.6003895242543675,
1.224108490724933,
1.056701387798683,
-0.9987805555007387,
-1.039433093820015,
1.2284883338969845,
0.05139719736503675,
0.4503865966461291,
0.556151267... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.16869167315439923, "params": [[0.07640000000000001], [-0.0668]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.018197009588044984, 0.018197009588044995], "optimization_time": 1.9873993396759033} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
fdd193cb015e57ef85d2ae5c4eb54ede | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [2750, 6846], "expectation_value": -2.2446746640589437, "params": [[[1.6941000000000002, 0.0039000000000000003, 0.0045000000000000005, 0.007500000000000001], [0.29650000000000004, -0.0035, 1.4664000000000001, 0.0047], [1.4059000000000001, 0.0031000000000000003, 0.0007, 0.0037], [0.322, -0.0028, 1.5477, 0.007... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 12 | 13 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIIZ",
"IIIIIIIZZIIIZ",
"IIIIIIIZZZIII",
"IIIIIIIZZZIIZ",
"IIIIIZZIIIIII",
"IIIIZIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
0.6384391318483287,
-0.8265045417678176,
-0.6678735821875842,
-2.1284699588688407,
-0.30330827614393213,
0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [3, 28], "expectation_value": -0.8449955656023243, "params": [[0.06570000000000001, 0.0648, 0.0703, 0.051500000000000004], [-0.0658, -0.0521, -0.0649, -0.054]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.02593358493361461, 0.03132040850650213], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
-4932582352537819247 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 10, 5], [1, 2, 4, 5, 6, 8, 9, 11], [0, 8, 4, 5], [0, 2, 4, 6, 7, 9, 10, 11], [1, 3], [0, 1, 2, 10], [0, 1, 2, 5, 6, 7, 8], [1, 10, 4, 7], [3, 6, 7, 9, 11], [0, 1, 4, 6, 7, 8], [0, 1, 11], [1, 4, 5, 10, 11], [0, 3, 4, 5, 6, 11], [0, 4, 5, 6, 9, 10], [1... | {"states": [1006, 3054], "expectation_value": -3.274099243301814, "params": [1.653, -0.4073, 0.0027, 1.722, 1.6966, -0.0017000000000000001, 2.0636, -0.0022, 2.213, -0.002, 2.298, 0.0023, 3.1373, 0.0015, 3.5111000000000003, 0.2541, 2.9833000000000003, 0.0012000000000000001, 3.1455, -0.001, 3.1388000000000003, -0.5136000... | 0.26785714285714285 * (Z(4) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.20833333333333331 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z(1) @ Z(2)) + 0.14285714285714285 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(7)) + 0.18452380952380953 * (Z(6) @ Z(2)) + 0.05357142857142857 * (Z(6) @ Z(4)) + 0.2511904761904762 * (Z(6) @ Z(7)) + 0.235714... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.704761904761905], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6952380952380945, "smallest_bitstrings": ["010000010001"], "largest_eigenvalue": 15.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.679127793701576) q[0];
rz(1.2028834244013513) q[0];
rx(-0.1819628505655079) q[1];
rz(-2.644543483571402) q[1];
rx(1.7013411476921487) q[2];
rz(1.6351630432002686) q[2];
rx(1.7436765748312706) q[3];
rz(1.6865642803467793) q[3];
rx(2.2587498301554985) q[4];
rz(1.388... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIIIZIIZIIII",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IIIIZIIIIIZI",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIIIZIIIIZI",
"IIIZIIIIIZII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
0.26785714285714285,
0.25,
0.20833333333333331,
0.21666666666666667,
0.14285714285714285,
0.125,
0.18452380952380953,
0.05357142857142857,
0.2511904761904762,
0.2357142857142857,
0.05119047619047619,
0.07738095238095238,
0.14166666666666666,
0.1261904761904762,
0.18690476190476188,
0.0... | 0.971803 | [
2.679127793701576,
-0.36791290239354485,
-0.18196285056550787,
2.067845496813288,
1.7013411476921485,
0.06436671640537162,
1.7436765748312708,
0.11576795355188277,
2.2587498301554985,
-0.18233046586649748,
2.3217110962182033,
-0.08720533642504011,
3.2194014332477585,
0.5409554294552719,
... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -3.704761904761905,
"target_ratio": 0.97,
"target_value": -3.5936190476190477
} | 15 |
2ad6d55856f69d2786e314d4b42f7213 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3},... | {"states": [2040, 2046], "expectation_value": -13.393494363635448, "params": null, "bitstrings": ["00000000111", "00000000001"], "total_optimization_steps": 100, "probabilities": [0.12116968976818161, 0.4646413835045458], "optimization_time": 246.10930681228638} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8161964773730656) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.17578210453040827) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8161964773730656) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.17578210453040827) q[3];
cx q[1], q[3];... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.507482 | [
0.8161964773730656,
0.17578210453040827,
1.06637342379313,
1.7117605936534868,
1.570796387100777,
0.8946108932270487
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 175 |
6e37aef8e2f10c2778e28c9dc9b1affa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [66, 67], "expectation_value": -4.978369530652005, "params": [0.4993, -0.00030000000000000003, 0.4973, -0.0007, 0.2733, -0.025400000000000002, 0.25980000000000003, -0.0043, 0.0291, 0.0239, 0.039, -0.1268, 0.07680000000000001, -0.1884, 0.1321, -0.1797, 0.2953, -0.0027, 0.3013, 0.0007, 0.5054000000000001, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
8e16fef56173ffd9ae3ac92bb04d98fd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [127, 126], "expectation_value": -30.517398377217344, "params": [[[0.0025, 3.1584000000000003], [0.0022, 0.0021000000000000003], [0.0019, 0.0021000000000000003], [0.002, 0.002], [0.0025, 0.0021000000000000003], [-1.6072000000000002, 0.0029000000000000002], [0.0025, 0.0026000000000000003]]], "bitstrings": ["0... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -3... | 15 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.006908689720878301) q[0];
ry(0.014905046840046418) q[1];
ry(-0.11235531456424876) q[2];
ry(-0.021856517741228272) q[3];
ry(0.006908689720878301) q[4];
ry(-1.5610494142153497) q[5];
ry(0.006908689720878301) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x0) q[4];
ry(x4) q[5];
ry... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-3,
-3,
-2.5,
-3,
-2.5,
1.5,
-3,
-3,
-3,
-3,
-3,
1,
1,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.981634 | [
0.006908689720878301,
0.014905046840046418,
-0.11235531456424876,
-0.021856517741228272,
-1.5610494142153497,
3.060567803306257,
0.008943654473283786,
-0.04181305321159895,
-0.007335753029173558
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 1 |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 13.909463882446289} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
-6224653830652967166 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 6, 8], [1, 3], [6, 7], [0, 2, 3, 6], [8, 4, 5, 6], [0, 3, 5, 6], [1, 5, 6], [0, 2, 5, 6, 8], [2, 7], [8, 3, 7], [1, 7], [3, 4, 5, 7]]} | {"states": [469, 315], "expectation_value": -1.4562648034114358, "params": [[0.3766], [-0.3677]], "bitstrings": ["000101010", "011000100"], "total_optimization_steps": 40, "probabilities": [0.008516835142214256, 0.008608062957262338], "optimization_time": 4.190459489822388} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666669 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(0)) + 0.16666666666666669 * (Z(6) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.966666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9499999999999993, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.11397709423748097) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.11397709423748097) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.05602858393903628) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.11397709423748097) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.03333333333333333,
0.03333333333333333,
0.16666666666666669,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.19999999999999998,
0.25,
0.16666666666666669,
0.11666666666666667,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.1666666... | 0.704892 | [
-0.11397709423748097,
0.05602858393903628,
-0.37962748016104775,
-0.21291396140713034,
0.0626321045356273,
-0.003404791824607244,
0.7746764822138826,
0.06659923792655865,
-0.0352368578074715,
0.6787336472842452,
1.6354928411445013,
0.1315838232091312,
1.5042588961734207,
-0.275332863939737... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -2.966666666666666,
"target_ratio": 0.97,
"target_value": -2.877666666666666
} | 448 |
d3ade3a8101a76a5368810932e8e6702 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [257, 1], "expectation_value": -21.631017542695137, "params": null, "bitstrings": ["011111110", "111111110"], "total_optimization_steps": 37, "probabilities": [0.39265000724703936, 0.6062681947242516], "optimization_time": 66.78646779060364} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 3.25 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -2.75 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.25858899028908977) q[0];
rz(-0.33522664265405666) q[0];
rx(0.08719597345253834) q[1];
rz(-0.10011831809203509) q[1];
rx(-0.11073406163263953) q[2];
rz(0.08571148191659361) q[2];
rx(-0.11073406163263953) q[3];
rz(0.18071642701362478) q[3];
rx(-0.11073406163263955) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.57) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIIIZI",
"... | [
-0.75,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
-0.5,
3.25,
-1.25,
-1,
-0.5,
-2.75,
-0.5,
-1.5,
-0.5,
-0.5,
-1.25,
-1.5,
-0.25,
-0.25,
-1,
-0.5,
1.5,
3.25,
-0.25,
-0.25,
-2.25
] | 0.983905 | [
0.25858899028908977,
-0.403481733557732,
0.08719597345253832,
-0.20041512282474316,
-0.11073406163263953,
0.18984938565352297,
0.10978621487393787,
0.0697186242219017,
-0.16983563802277707,
0.1363960108971482,
3.01758654448913,
0.2050368789993589,
-0.1055519101198219,
0.2616523480141692,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 9 |
dd83253949a28072d063600df3623a69 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [0, 7], "expectation_value": -12.269073724779608, "params": null, "bitstrings": ["1111111", "1111000"], "total_optimization_steps": 32, "probabilities": [0.13870030195264993, 0.7187714838493837], "optimization_time": 28.463849782943726} | 0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(3) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08072540117544312) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.8096753025837545) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.15115786593320973) q[2];
cx q[1], q[2];
rz(0.8096753025837549) q[1];
rx(0.968320307... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
-2,
0.5,
1,
0.5,
-2,
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5
] | 0.51303 | [
-0.08072540117544312,
0.8096753025837545,
0.15115786593320973,
0.8989385953616086,
0.9683203072915283
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 141 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -19.82676928108473, "params": [[-0.0427, 0.0071, -0.007500000000000001, -0.0188], [0.07440000000000001, 0.040400000000000005, 0.0582, 0.0694]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.02410531906110438, 0.02548549050456405], "opt... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 15 | 7 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
a3571c19d72a014065614d323aff3379 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [13, 12], "expectation_value": -2.2689770638714513, "params": [0.004200000000000001, 0.445, 0.0009000000000000001, 0.4449, 0.451, 0.0008, 0.6, 0.0044, 0.004200000000000001, 0.43270000000000003, 0.34340000000000004, -0.032, -0.002, 0.4544, 0.0067, 0.4621, 0.44680000000000003, 0.0017000000000000001, 0.6008, 0.... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 3 | 6 | 4 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
253d3995de007ce15800f0023018551d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 27.733870029449463} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -22.290490503501612, "params": [[-0.034, 0.006], [0.0779, 0.07300000000000001]], "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010308038042197265, 0.01264061553169345], "optimization_time": 3.4586758613586426} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
814e777f1ed4a69daeaf282d5f272f5b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [81, 113], "expectation_value": -8.51634416651629, "params": [[0.003, 0.037000000000000005, 0.003, 1.5861, -0.010100000000000001, 1.5882, 0.0032, 0.0024000000000000002, 0.0019, 1.5844], [-0.0034000000000000002, -0.030600000000000002, 0.0031000000000000003, 1.584, 1.6051, 1.5833000000000002, 0.003100000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1110001110"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.056432081825195574) q[0];
ry(0.06629050152904399) q[1];
ry(-0.056432081825195574) q[2];
ry(1.3732622187769374) q[3];
ry(-0.07757048308310496) q[4];
ry(1.656674669071579) q[5];
ry(0.13404064023461365) q[6];
ry(0.0012974164251354538) q[7];
ry(0.15329796528919484) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"IZIIIIIZII",
"IZIIIIZIII",
"ZZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1,
-1.5,
-1.5,
-2,
-1,
-2,
-1,
-1
] | 0.979769 | [
-0.056432081825195574,
0.06629050152904399,
1.3732622187769374,
-0.07757048308310496,
1.656674669071579,
0.13404064023461365,
0.0012974164251354538,
0.15329796528919484,
1.5121332941867645,
-0.052653576246755665,
-0.1463379014040981,
0.04373921224491366,
1.7675610132661197,
2.4132197735980... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 8 |
-1875740235070542863 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8, 9], [0, 1, 4, 5, 8, 9], [9, 5, 6], [0, 8, 2, 6], [5, 7], [3, 4, 5, 6, 8], [0, 1, 4, 5, 6], [0, 3, 5, 6, 8], [0, 1, 4, 6, 7, 8], [1, 2, 5], [2, 4, 5, 6, 8], [8, 1, 3, 6], [0, 2, 7]]} | {"states": [493, 755], "expectation_value": -1.543206531562069, "params": [[-0.3033], [0.3028]], "bitstrings": ["1000010010", "0100001100"], "total_optimization_steps": 40, "probabilities": [0.0032656868497547027, 0.003301349783912972], "optimization_time": 6.158680200576782} | 0.19999999999999998 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.15 * (Z(4) @ Z(1)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.06666666666666667 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(2)) + 0.18333333333333335 * (Z(8) @ Z(1)) + 0.2 * (Z(8) @ Z(4)) + 0.0666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.1833333333333327], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.000000000000001, "smallest_bitstrings": ["0100001100"], "largest_eigenvalue": 12.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(5.0891378653064806e-05) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(9.128307674191577e-05) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.00011667653854829364) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ"... | [
0.19999999999999998,
0.08333333333333334,
0.15,
0.19999999999999998,
0.06666666666666667,
0.06666666666666667,
0.16666666666666669,
0.18333333333333335,
0.2,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.... | 0.942408 | [
0.000050891378653064806,
0.00009128307674191577,
-0.00011667653854829364,
0.00005564100953930466,
-0.00005194265675411344,
-0.00005307440052147174,
0.00006155337227545478,
-0.00007823803071808043,
0.00007864601726163965,
-0.000010631107206496368,
0.0000911765460007105,
0.000021110236225053495,... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.1833333333333327,
"target_ratio": 0.97,
"target_value": -3.0878333333333328
} | 500 |
1b146c0365a13411191347bfcee6d38e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [30, 94], "expectation_value": -3.6453600267789086, "params": [1.6009, 0.0032, 1.5882, 0.0014, 1.5947, -0.0031000000000000003, 1.6071, 0.0015, 1.6032000000000002, 0.0035, 1.607, 0.2331, 0.0032, 0.002, -1.5723, -1.5855000000000001, 1.5786, 1.5691000000000002, 1.5703, 0.7747], "bitstrings": ["1100001", "010000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) | 4 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.01896298951164331) q[0];
ry(1.4671335465655022) q[1];
ry(0.0443902706272271) q[2];
ry(1.651545018621358) q[3];
ry(0.17939320521132673) q[4];
ry(0.01896298951164331) q[5];
ry(0.12476640194723929) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
0,
-1.5,
0,
0
] | 0.970543 | [
0.01896298951164331,
1.4671335465655022,
0.0443902706272271,
1.651545018621358,
0.17939320521132673,
0.12476640194723929,
1.6764095617710113,
1.1673098756081428,
0.4517425252645204,
-0.1261575337349709,
-0.24637722337136964
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 12 |
6be29fcf64186db29d8d06f08ec325c6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [125, 109], "expectation_value": -43.89811673273758, "params": [1.4716, 0.006200000000000001, 2.8972, 0.0067, 2.8921, 0.0078000000000000005, 1.479, 0.0066, 2.8906, 0.006200000000000001, 2.8972, 0.0097, 1.0695000000000001, 0.0051, 2.8895, 0.0045000000000000005, 0.0002, 0.0044, 0.0098, 0.0036000000000000003, 0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 18 | 8 | 1 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10.5,
4.5,
14.5,
9.5,
4.5,
9.5,
4.5,
16.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
2df5083eec714b9fdc0c8843b7695063 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -14.101091198831028, "params": [[0.019100000000000002, 0.0284, -0.0089], [-0.033100000000000004, -0.0668, -0.0446]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.010823939474024328, 0.011429767344492352], "optimization_time": 5.9... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + 12.5 * Z(2) + 13.5 * Z(1) + -2.0 * Z(3) + 6.0 * Z(4) + 8.0 * Z(5) + 11.0 * Z(6) + 10.0 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 105.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.02726385121418927) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.02726385121418927) q[1];
cx q[0], q[1];
rz(-1.6027682660398161) q[0];
rx(-1.644335621650184) q[0];
cx q[2], q[1];
rz(0.02726385121418927) q[1];
cx q[2], q[1];
h q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
12.5,
13.5,
-2,
6,
8,
11,
10
] | 0.980224 | [
0.02726385121418927,
-1.6027682660398161,
1.6612621026647572,
1.5140893262708621,
-1.4142046096662184,
1.5607466052674113,
-1.2355434411882795,
1.7777638269702782,
1.9424021471281856,
-1.6443356216501843,
0.5585330208204107,
0.006381188169456237,
1.8639243363114775,
-0.2903186153987083,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 48 |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.53366772242019, "params": [[-0.07730000000000001], [0.0692]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006649251995495541, 0.006875509358799752], "optimization_time": 2.57660174369812} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
15981867526b451292338ffade4ee93e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [362, 1386], "expectation_value": -0.17454897471631395, "params": [0.2952, -0.077, 0.2912, -0.08360000000000001, 0.29410000000000003, -0.0599, 0.3002, -0.06330000000000001, 0.2832, 0.1087, 0.2863, 0.1107, 0.30360000000000004, 0.07980000000000001, 0.3019, 0.101, 0.2957, 0.1272, 0.2805, 0.12510000000000002, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 5 | 12 | 3 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5104591836734693} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0012755102040816328,
-0.0012755102040816328,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
0.000510204081632653,
0.0007653061224489796,
0.000510204081632653,
0.000510204081632653,
0.00076530612244897... | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
8e96f7ae60ba14470432467f8af7fce5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [315, 314], "expectation_value": -72.48658920171763, "params": [0.056100000000000004, 0.0463, 0.5001, 0.4978, -0.0004, -0.0027, 0.19440000000000002, 0.1811, 0.496, 0.48860000000000003, 0.4791, 0.4786, 0.4828, 0.4839, 0.27490000000000003, 0.275, 0.48700000000000004, 0.48510000000000003, 0.2316, 0.2278, 0.0204... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + -2.5 * Z(0) + 13.5 * Z(1) + 15.0 * Z(4) + 3.5 * Z(3) + 13.0 * Z(6) + 9.5 * Z(7... | 14 | 10 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["1011000101"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04904573281376476) q[0];
rz(pi/2) q[0];
ry(0.6323708350943431) q[1];
ry(0.005978681538141626) q[2];
ry(0.1957757311855039) q[3];
ry(0.4559453117070705) q[4];
ry(0.5120109797453155) q[5];
ry(0.5242299574500777) q[6];
ry(-0.047721635704018064) q[7];
ry(0.3251000720... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2.5,
13.5,
15,
3.5,
13,
9.5,
7,
9,
6.5,
-12
] | 0.971279 | [
-0.04904573281376476,
0.6323708350943431,
0.005978681538141626,
0.1957757311855039,
0.4559453117070705,
0.5120109797453155,
0.5242299574500777,
-0.047721635704018064,
0.32510007201989755,
0.010779603683606115,
0.018523238911219236,
-0.3420144562340306,
-0.46828048244990017,
-0.068156625668... | {
"n_parameters": 116,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 15 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -1.4099106657672356, "params": [[0.0601, 0.0557, 0.0718], [-0.050100000000000006, -0.0362, -0.058300000000000005]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.0290803736062045, 0.03269765721850806], "optimization_time": 2.98417711257... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
b3dcb53c8b4774df946153af64089e6d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6},... | {"states": [2047, 1567], "expectation_value": -0.4986163236616476, "params": [[0.0369], [-0.025900000000000003]], "bitstrings": ["00000000000", "00111100000"], "total_optimization_steps": 10, "probabilities": [0.0005842431633179603, 0.0005870390613646567], "optimization_time": 0.7809543609619141} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["00111100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08664406704555677) q[0];
rz(0.017254100476732325) q[0];
rx(1.7488100139402367) q[1];
rz(0.0007168503350059559) q[1];
rx(-0.01195003943693744) q[2];
rz(0.08910477609594779) q[2];
rx(-0.01195003943693744) q[3];
rz(-0.007301910110298019) q[3];
rx(-0.01195003943693744... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1,
-2.5,
-2.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97018 | [
0.08664406704555677,
0.017254100476732325,
1.7488100139402367,
0.0007168503350059559,
-0.01195003943693744,
0.08910477609594779,
-0.007301910110298019,
-0.023246361591717148,
-3.1557619667110606,
0.07002615385601159,
-0.018165149652507092,
0.1023062894523987,
0.05007260620642995,
-0.103813... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 1 |
5dad688a93671469362a3d3d00961b05 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [14261, 14190], "expectation_value": -2.1111865209352105, "params": [[0.1466], [-0.1686]], "bitstrings": ["100100001001010", "100100010010001"], "total_optimization_steps": 20, "probabilities": [9.175479711342067e-05, 9.175479711342068e-05], "optimization_time": 38.13311791419983} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999961], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999947, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 26.250000000000046} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
7b0d1afbddbe3ea983a4bf7aee7acd30 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [870, 614], "expectation_value": -46.83107777682928, "params": [-0.0182, 0.001, 2.21, 0.0004, 1.5697, 0.0081, 0.227, 0.0063, 2.2012, 0.0017000000000000001, 2.1986, 0.0077, 1.4926000000000001, 0.0098, 1.1496, 0.0099, 2.198, 0.0094, 2.2021, 0.0046, 0.23290000000000002, 0.002, 0.0057, 0.0019, 0.001, 0.001200000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(10) @ Z(9)) + 7.0 * Z(1) + -3.5 * Z(0) + 4.0 * Z(2) + 13.5 * Z(5) + -2.5 * Z(3) + 7.5 * Z(4) + 3.5 * Z(6) + 8.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-99.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["10110011001"], "largest_eigenvalue": 113.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06847692911056875) q[0];
rz(0.4126532046207849) q[0];
rx(3.210094988644176) q[1];
rz(0.015771063098611225) q[1];
rx(0.48881851422686917) q[2];
rz(0.30170719184923617) q[2];
rx(-0.19411808358133556) q[3];
rz(1.0911918357081014) q[3];
rx(3.4071177229004075) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-3.5,
4,
13.5,
-2.5,
7.5,
3.5,
8.5,
1,
6.5,
-2.5
] | 0.976016 | [
-0.06847692911056875,
0.03645314436303457,
3.210094988644176,
0.015771063098611225,
0.48881851422686917,
0.30170719184923617,
-0.19411808358133556,
1.0911918357081014,
3.4071177229004075,
0.5044960221889976,
3.038669025411151,
-0.6381463664297798,
-0.07169796927884661,
-0.4877298177570025,... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -99,
"target_ratio": 0.97,
"target_value": -96.03
} | 20 |
e0669582681ae5929d51416018b30292 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [452, 468], "expectation_value": -3.063984881921489, "params": [[[0.8028000000000001, -0.0021000000000000003], [0.8087000000000001, 0.0038], [0.8021, 0.0029000000000000002], [0.0834, -0.3603], [0.8018000000000001, -0.0009000000000000001], [0.30410000000000004, -0.2379], [0.811, 0.004], [-0.0164, 0.3956], [0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["000110011", "000101011", "100101010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.117767850718213) q[0];
rz(-0.1285909457487886) q[0];
rx(-3.0774541284372003) q[1];
rz(0.3325280340534844) q[1];
rx(2.7963203630473448) q[2];
rz(0.08255128244647825) q[2];
rx(-0.161315423931765) q[3];
rz(0.48593491789205956) q[3];
rx(-3.06930193474153) q[4];
rz(0.12... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IIIIIZZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-0.5,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.98257 | [
3.117767850718213,
0.07785173530970868,
3.2057311787423863,
0.0971632259934694,
2.7963203630473448,
-0.0731534990002137,
-0.161315423931765,
0.7099941930853557,
3.213883372438057,
0.06090402233386427,
0.09689851603413882,
-0.46503903684713094,
3.090217189045772,
-0.06856893524069108,
-0.... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
4afda69c42a222bc9f2115981fa30ba0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [498, 496], "expectation_value": -1.1864604374446752, "params": [[0.07350000000000001], [-0.0731]], "bitstrings": ["000001101", "000001111"], "total_optimization_steps": 10, "probabilities": [0.002909143616968082, 0.0029732952655008474], "optimization_time": 2.1130099296569824} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -2.0 * Z(8) + -1.5 * Z(5) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-2.246839478578913) q[0];
cx q[1], q[0];
rz(-0.3845192800046795) q[0];
rx(-1.3158019764555113) q[0];
rz(-0.3845192800046795) q[1];
rx(-1.3158019764555113) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.4912710617203733) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
1
] | 0.642561 | [
-2.246839478578913,
-1.4912710617203733,
-0.38451928000467944,
-0.04484576055937104,
-0.0367962090143246,
-1.545228476947542,
-1.3158019764555113
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 179 |
-1440168243671730066 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 3], [0, 7], [8, 9], [4, 6], [8, 6], [5, 7], [0, 5], [1, 2], [8, 1], [8, 10], [1, 7], [8, 3], [0, 2], [10, 7], [1, 6], [4, 5], [0, 6], [3, 4], [9, 1], [4, 7], [3, 7], [8, 2], [2, 4], [2, 5], [0, 3], [0, 10], [0, 4], [10, 5], [9, 10], [2, 7], [0, 9]]} | {"states": [947, 435], "expectation_value": -0.11160934283546851, "params": [0.7200000000000001, 0.028800000000000003, 0.7167, 0.0027, 0.7595000000000001, 0.0567, 0.7595000000000001, 0.0039000000000000003, 0.8574, 0.0041, 0.8555, 0.0037, 0.8575, -0.0036000000000000003, 0.8567, 0.0047, 0.7539, 0.1433, 0.7519, 0.00720000... | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001001110", "00110110011", "00110111010", "01110110001", "00110011011", "11001100100", "11001000101", "11001001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.2164292331711243) q[0];
rz(0.3764201188298797) q[0];
rx(0.12112468136227743) q[1];
rz(-1.3835158600743531) q[1];
cx q[1], q[0];
rz(-0.274905021142853) q[0];
cx q[1], q[0];
rx(-0.407083852260116) q[0];
rz(-1.7294204229179369) q[0];
rx(0.12112468136227746) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZIII",
"IIIIIIIZIIZ",
"IZIIIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIZIIIIZIII",
"IZZIIIIIIII",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIZIIZIIII",
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IIIIIZIIIIZ",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IZIIIIIIIZI",
"IIIZIIIIIZI",
"IIZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970484 | [
0.21642923317112434,
0.10151509768702666,
0.12112468136227743,
-1.3835158600743531,
0.5371012945354787,
0.03003361313704567,
1.388599115505802,
0.08295341054717315,
-0.13987524055839537,
-1.7732581626248274,
3.256876181813527,
-0.4353649558336683,
1.1892096165116643,
-0.23361558259891352,
... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 86 |
-2933049049569637002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [0, 2], [6, 7], [0, 7], [1, 7], [9, 2, 4, 7], [2, 3, 5], [8, 3]]} | {"states": [245, 229], "expectation_value": -1.5479329168466924, "params": [0.5321, -0.1032, 0.2692, 0.0061, 0.8957, -0.0689, 0.48190000000000005, 0.0043, 0.903, 0.0818, 0.9024000000000001, 0.0032, 0.9074000000000001, 0.10490000000000001, 0.8972, 0.0021000000000000003, 0.8977, 0.1666, 0.8975000000000001, 0.008, 0.902, ... | 0.25 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666, -3.166666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.083333333333333, "smallest_bitstrings": ["1101001000", "1100011010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.02457197748607594) q[0];
rz(1.3568163274665928) q[0];
rx(0.6514866590259528) q[1];
rz(1.6245315800720146) q[1];
rx(2.092421073471889) q[2];
rz(1.4885459859127437) q[2];
rx(1.9417103690488322) q[3];
rz(1.6761803700057243) q[3];
rx(1.8497458137337437) q[4];
rz(1.379... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIII",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIIIIZIZ",
"IIZIIZIIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.29166666666666663,
0.29166666666666663,... | 0.975749 | [
0.024571977486075938,
-0.21397999932830367,
0.6514866590259529,
0.0537352532771181,
2.092421073471889,
-0.08225034088215276,
1.9417103690488322,
0.10538404321082828,
1.849745813733744,
-0.19163758485544724,
0.4224300843054898,
-0.2681156939931687,
0.5661458360103534,
-0.21484619878629346,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 108 |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -33.199841234417825, "params": [[-0.0342, -0.0025, 0.0048000000000000004, 0.0098], [0.0621, 0.0594, 0.0645, 0.066]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.017815732677495446, 0.02118315630308209], "optimization_time": 6.48... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14.5,
15.5,
21,
15,
14,
15,
-1.5,
1.5
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
f23d2a7db93c6e79e89f3b179ac09e4a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 4, "target": 5}, {"source": ... | {"states": [0, 1023], "expectation_value": -20.425012836731394, "params": [[[-0.7393000000000001, 1.2097], [-0.0028, 0.8864000000000001], [-0.0027, 0.0027], [0.0033, -0.0035], [0.0021000000000000003, 0.0029000000000000002], [0.0026000000000000003, 0.0016], [0.0022, 0.0025], [0.0023, 0.0023], [0.0025, 0.002], [0.0028, 0... | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + 1... | 15 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7281071062148635) q[1];
h q[2];
ry(0.7281071062148635) q[2];
cx q[0], q[2];
ry(-0.7281071062148635) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
ry(0.9766281068087005) q[5];
h q[6];
h q[7];
ry(0.7281071062148635) q[7];
cx q[6], q[7];
ry(-0.72810710... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
-2,
-1.5,
0.5,
-1,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.922647 | [
1.456214212429727,
1.5859263813986206,
1.953256213617401,
-0.06744231709671222,
1.4213978082449175,
-0.24541153840732366,
0.09108126634270336,
0.005720102735280552,
-0.03778173519590952,
1.2121075920234368,
-1.5305030405657813,
1.1840488852634665,
-0.013119950978745498,
0.0306336645150311,... | {
"n_parameters": 67,
"n_qubits": 10,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 500 |
8763698775299584540 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 4], [2, 5], [1, 10], [8, 2], [0, 10], [1, 6], [9, 6], [1, 9], [0, 9], [0, 7], [3, 7], [1, 3], [8, 9], [2, 6], [10, 6], [6, 7], [0, 8], [10, 5], [10, 3], [0, 1], [8, 5], [1, 7], [1, 5], [9, 2], [8, 4], [3, 6], [9, 10], [0, 4], [4, 7]]} | {"states": [121, 1145], "expectation_value": -6.298878438006019, "params": [-0.7976000000000001, -0.7824, 0.3274, 0.3816, -0.0318, 0.0239, -0.0023, -0.0023, 1.5477, 1.5877000000000001, 1.5310000000000001, 1.6164, 1.558, 1.5773000000000001, 1.5648, 1.5795000000000001, -0.6784, 0.6797000000000001, 0.08460000000000001, -0... | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10001111001", "01110000110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-1.648044923592546) q[0];
rz(pi/2) q[0];
ry(-0.1715929549542412) q[1];
ry(0.2665149184001886) q[2];
ry(-0.07232627535028832) q[3];
ry(1.2925875972454512) q[4];
ry(1.1425454621719535) q[5];
ry(1.5075642119285053) q[6];
ry(1.8094936853150156) q[7];
ry(-0.8836712105215... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIIIIIIIZZI",
"IIIIZIIIIZI",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IZIIIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIIIIZI",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZZIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973088 | [
-1.648044923592546,
-0.1715929549542412,
0.2665149184001886,
-0.07232627535028832,
1.2925875972454512,
1.1425454621719535,
1.5075642119285053,
1.8094936853150156,
-0.8836712105215079,
-0.21129668679364372,
2.000929611268456,
-1.4201903846429198,
-0.8017410116882843,
-0.11409066627904293,
... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 30 |
9fa2c1c0efc57c7f335d8a3e17939b3e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2103, 2099], "expectation_value": -64.47124635459224, "params": [2.1109, 0.0038, 1.2645, 0.0098, -0.0028, 0.0015, 0.1389, 0.008, 0.2869, 0.0054, 1.3951, 0.004, 2.1076, 0.0006000000000000001, 2.1048, 0.007200000000000001, 0.1603, 0.0094, 1.4859, 0.0029000000000000002, 2.1082, 0.0008, 2.1118, 0.0005, 0.009300... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(3) @ Z(11)) + 6.5 * Z(0) + 1.5 * Z(1) + -3.0 * Z(4) + 6.5 * Z(6) + -7.5 * Z(2) + 2.5 *... | 18 | 12 | 1 | {"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["011111001100"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.7795744299589784) q[0];
ry(-0.049013886906145665) q[1];
ry(-0.32640707188749085) q[2];
ry(-0.1224542782100378) q[3];
ry(-0.2593146057676343) q[4];
ry(-0.16571522729022028) q[5];
ry(0.4658681498730882) q[6];
ry(0.8528135975374067) q[7];
ry(-0.10221739393242962) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6.5,
1.5,
-3,
6.5,
-7.5,
2.5,
9,
-3.5,
18,
3.5,
18,
-3.5
] | 0.97369 | [
0.7795744299589784,
-0.049013886906145665,
-0.32640707188749085,
-0.1224542782100378,
-0.2593146057676343,
-0.16571522729022028,
0.4658681498730882,
0.8528135975374067,
-0.10221739393242962,
0.0731786205888528,
0.8458572944021511,
-0.024152395034628307,
-0.13225651830668095,
0.071069918725... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -140,
"target_ratio": 0.97,
"target_value": -135.79999999999998
} | 36 |
bf3ec5b79f8955f472cb6ac1b88c1910 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [3, 63], "expectation_value": -4.335777917378977, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 65, "probabilities": [0.10092551742810486, 0.4968437275028238], "optimization_time": 84.311931848526} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
cx q[3... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5486) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
4921841307151592341 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5], [1, 6, 7], [2, 7], [2, 4, 5], [0, 6], [3, 6]]} | {"states": [213, 204], "expectation_value": -0.018126642183773335, "params": [[-0.038400000000000004], [0.048]], "bitstrings": ["100101010", "100110011"], "total_optimization_steps": 10, "probabilities": [0.002018315185430981, 0.0020183265482417176], "optimization_time": 1.8189618587493896} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4999999999999996, "smallest_bitstrings": ["100110011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(-0.325022955002784) q[1];
cx q[6], q[1];
h q[7];
h q[8];
cx q[2], q[8];
rz(-0.325022955002784) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(-0.39688774072702837) q[5];
cx q[2], q[5];
cx q[2], q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(x1) q[5];
cx q[2], q[5];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIIIIIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333335,
0.16666666666666666,
0.3333333333333333,
0.16666666666666674,
0.16666666666666666,
... | 0.570497 | [
-0.325022955002784,
-0.39688774072702837,
-1.0681385904414737,
0.15881274406694978,
0.7932909093888323
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.5000000000000004,
"target_ratio": 0.97,
"target_value": -2.4250000000000003
} | 141 |
fca2293c2a9a83d1eeb5cc8ed6acc934 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [86, 116], "expectation_value": -4.999874628887887, "params": null, "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 36, "probabilities": [1.7184297198140115e-05, 0.9999247925092263], "optimization_time": 30.60362195968628} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1085452155132307) q[0];
rz(-pi) q[0];
h q[1];
ry(1.4634417096669068) q[1];
ry(-3.116011071267912) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5690578259935095) q[3];
h q[4];
ry(1.517818890375456) q[4];
cx q[4], q[0];
ry(-0.07430717905142728) q[0];
cx q[4], q[0];
ry(0.099359... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1,
0,
0
] | 0.998232 | [
-1.5690578259935095,
-1.4202201428075247,
1.517818890375456,
1.4634417096669068,
-0.09421059075376897,
0.14861435810285456,
0.19800617208161359,
0.05479170819511875,
0.1987183954967629,
-0.07382566291840055,
0.046895837035076146,
-0.024793505477716263
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [342, 218], "expectation_value": -17.647720800883096, "params": [[-0.0356, -0.0045000000000000005], [0.0727, 0.0743]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007091877322109995, 0.008663731243218153], "optimization_time": 3.1837475299835205} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15866672171331941) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15866672171331941) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.15866672171331941) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.15866672171331941) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
9,
15.5,
11,
7.5,
13,
2,
1.5,
9
] | 0.971003 | [
-0.15866672171331941,
-1.0809071203107758,
-0.30064965839619345,
-0.5102877140178146,
-0.8733998782451885,
1.0885724300439001,
-1.0913168284595332,
0.13810257412133115,
0.9133195435550004,
1.5142771870202085,
-0.5131275809009203,
-1.1831791592560787,
-0.05769660481193879,
-1.33952116695893... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 275 |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.5630419702565979, "params": [[-0.007500000000000001, 0.0383, 0.0221, 0.0016], [0.060000000000000005, -0.016900000000000002, -0.023700000000000002, -0.0123]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010027807885497807, 0.01011... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.63002705054771, "params": [[[0.0036000000000000003, 0.4631], [0.0025, 0.5849], [0.0024000000000000002, 0.6001000000000001], [0.0005, 0.2245], [0.0028, 0.5656], [0.0011, 0.29460000000000003], [0.8041, 0.0024000000000000002]], [[0.0035, 0.009000000000000001], [0.0025, 0.0097], [... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424045, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.1789092677225211, 0.6993291558722774], "optimization_time": 411.5449733734131} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100001000101", "1000100100001", "1100101010001", "1100101100001", "1000000000101", "1100010000101", "1000000000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
-4284878925079866635 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3], [8, 2], [2, 3, 7], [1, 9, 7], [10, 6, 7], [3, 4], [8, 5], [2, 5, 6], [9, 2, 5, 1], [9, 4, 7], [1, 2, 7], [3, 5, 6, 9, 10]]} | {"states": [477, 469], "expectation_value": -2.4541363171302795, "params": [0.38170000000000004, 0.4254, 0.3814, 0.0085, 0.9863000000000001, -0.2687, 0.9818, 0.0031000000000000003, 1.195, -0.024300000000000002, 1.193, 0.0077, 1.2042000000000002, 0.1967, 1.199, 0.0074, 1.1957, 0.0054, 1.1992, 0.0016, 0.5811000000000001,... | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(8)) + 0.05 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.116666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["11000101010"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.056364028510157316) q[0];
rz(1.3476910833678968) q[0];
rx(0.5821533674423065) q[1];
rz(-1.0759346324507) q[1];
rx(1.7441912302874207) q[2];
rz(0.13502799695893453) q[2];
rx(0.8686158739958103) q[3];
rz(0.7137102834510007) q[3];
rx(0.808629923129695) q[4];
rz(0.264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IZIIIIIZIII",
"IIZIIIZIIII",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IIZIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIZIZII",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZ... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.25,
0.3333333333333333,
0.05,
0.08333333333333333,
0.3333333333333333,
0.25,
0.05,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.05,
0.21666666666666667,
0.5,
0.1666666666... | 0.972742 | [
0.056364028510157316,
0.837242619378689,
0.5821533674423065,
-0.8247304083265198,
1.7441912302874205,
0.05859462609883296,
0.8686158739958103,
0.7643163721172379,
0.808629923129695,
0.2727295934242029,
-0.052621242726023386,
0.9996266443792191,
1.8051608263797057,
0.21934109599661628,
-0... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -4.116666666666669,
"target_ratio": 0.97,
"target_value": -3.9931666666666685
} | 70 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 3], "expectation_value": -3.6038502648729045, "params": [[0.0785, 0.077, 0.07540000000000001], [-0.0855, -0.0834, -0.08170000000000001]], "bitstrings": ["110110", "111100"], "total_optimization_steps": 10, "probabilities": [0.049681539547959584, 0.04990443646192443], "optimization_time": 2.70960569381713... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.