id
stringlengths
34
48
text
stringlengths
0
2.93M
quantumcomputing/32894_c65187f488c01dde_477.txt
Point cloud data is ubiquitous in scientific fields. Recently, geometric deep learning (GDL) has been widely applied to solve prediction tasks with such data. However, GDL models are often complicated and hardly interpretable, which poses concerns to scientists who are to deploy these models in scientific analysis and ...
quantumcomputing/b74f0a47_124879.txt
(4) begin aligned ψ rangle frac 1 sqrt 8 ( 000 rangle 0001 rangle 001 rangle 0010 rangle 010 rangle 0001 rangle 011 rangle 0010 rangle 100 rangle 0001 rangle 101 rangle 0010 rangle 110 rangle 0100 rangle 111 rangle 0010 rangle ) end aligned
quantumcomputing/27984_889bcb3d28cecf3a_366.txt
The security of messages encoded via the widely used RSA public key encryption system rests on the enormous computational effort required to find the prime factors of a large number N using classical (conventional) computers. In 1994 Peter Shor showed that for sufficiently large N, a quantum computer could perform the ...
quantumcomputing/14472_2ed2d1df17fe28a3_200.txt
But there’s a revised version of your question (also asked, I think, by one or two other commenters here) that survives and that I find extremely interesting. Namely, whatever is the most fundamental theory of the physical world, why should it have given rise to this onion-like structure of cruder and cruder approximat...
quantumcomputing/33692_723fd0fbfe5d7a11_215.txt
``` @mastersthesis{gomez2023masters, author = {G{\'o}mez, Jan Nogu{\'e}}, title = {{Reinforcement Learning based Circuit Compilation via ZX-calculus}}, year = {2023}, school = {Universitat de Barcelona}, urldate = {2023-08-28}, link = {https://diposit.ub.edu/dspace/bitstream/2445/202911/1/Memoria_TFM-JanNogue.pdf}, key...
quantumcomputing/32894_979fc1e5faab2aa1_167.txt
Attribution algorithms play an instrumental role in human interpretation of AI models. The methods measure the importance of the input features to the model output decision, which can be displayed as an attribution map for image classifiers. Perturbation tests are the state-of-the-art approach to evaluate the quality o...
quantumcomputing/32894_979fc1e5faab2aa1_290.txt
In this paper, we face the challenge of online learning in adversarial Markov decision processes with off-policy feedback. In this setting, the learner chooses a policy, but, differently from the traditional on-policy setting, the environment is explored by means of a different, fixed, and possibly unknown policy (name...
quantumcomputing/7161_93852db0cf4135f4_1.txt
* Is the energy of a single H atom equivalent to approximately three times the energy of a highly separated H3 molecule? + -1.27 Hartree for optimal H3 vs -0.5 Hartree for a lone Hydrogen * How do I import the Cyanex-272 molecule into PennyLane? * After importing Cyanex272, are its coordinates already optimized? + I.e....
quantumcomputing/26329_e6eb321e4e9c903b_191.txt
Turing, A. M. (1936–7). On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society. Second Series, s2-42, 230–265. Vaidman, L. (1998). On schizophrenic experiences of the neutron or why we should believe in the many-worlds interpretation of quantum theory. Int...
quantumcomputing/2e220262_3757.txt
Abdulkarim, Sijin Cherupilly (2011) Graph based mining on weighted directed graphs for subnetworks and path discovery Aboh, Victor (2011) Frequency demodulation of magneto-inductive vehicle signatures for vehicle detection and speed and acceleration estimation using a software defined radio Abondano Corredor, Sergio Al...
quantumcomputing/9339_a38937c5090409ef_645.txt
of -typical sequences. For any δ > 0 and for sufficiently large n, there are at most 2n(H(x)+ ) H(X), with zero probability of error. 12.2.2 Schumacher’s quantum noiseless channel coding theorem A great conceptual breakthrough of quantum information theory is to realize that we can treat quantum states as if they were ...
quantumcomputing/3960_1162a9dfdb39b60a_11.txt
*Scope Notes:* The problem of ensuring that the database does not include any invalid foreign key values is known as the referential integrity problem. The constraint that values of a given foreign key must match values of the corresponding candidate key is known as a referential constraint. The relation (table) that c...
quantumcomputing/9339_a38937c5090409ef_512.txt
1 − p the operation E  occurs. Use joint convexity to show that E is a strictly contractive quantum operation, and thus has a unique fixed point. Exercise 9.12: Consider the depolarizing channel introduced in Section 8.3.4 on page 378, E(ρ) = pI/2 + (1 − p)ρ. For arbitrary ρ and σ find D(E(ρ), E(σ)) using the Bloch repr...
quantumcomputing/14472_2ed2d1df17fe28a3_230.txt
QM is (to my knowledge) rarely first conveyed to students (or the general public) like this: “So, we want to make predictions about what is going to happen when we conduct physics experiments. That means we are going to need a probability theory. Let’s begin by considering the probability theories that are available to...
quantumcomputing/5fcbb418_117201.txt
295 Hsin-Yuan Huang, Michael Broughton, Masoud Mohseni, Ryan Babbush, Sergio Boixo, Hartmut Neven, and Jarrod R. McClean, Power of data in quantum machine learning , Nature Communications 12 1, 2631 (2021) .
quantumcomputing/22087_cfa6e6481b8cd2bd_540.txt
We consider the stochastic heat equation driven by an additive or multiplicative Gaussian noise that is white in time and spatially homogeneous in space. Assuming that the spatial correlation function is given by a Riesz kernel of order $\alpha \in (0,2 \wedge d)$, where $d$ is the spatial dimension, we prove a central...
quantumcomputing/10115_59c45b8c77a80942_218.txt
“By 2035 I believe this will promote the creation (or beginning of the discussion of the creation) of a new worldwide court of criminal justice, including a means to prosecute and punish individual war crimes and bad nation actors. My hope is that this court would supersede our current broken UN and come to apolitical ...
quantumcomputing/25925_723fd0fbfe5d7a11_159.txt
A catalysis state is a quantum state that is used to make some desired operation possible or more efficient, while not being consumed in the process. Recent years have seen catalysis used in state-of-the-art protocols for implementing magic state distillation or small angle phase rotations. In this paper we will see th...
quantumcomputing/2565_1902f72523e6b3c3_64.txt
with |c0 |2 + |c1 |2 = 1 . If we place a detector in the 0 path (0 detector), then it registers a signal with the probability |c0 |2 . A corresponding expression holds for the 1 path. The optical apparatus used have two entry paths and two exit paths, and their effects are described by a series of unitary transformatio...
quantumcomputing/32894_979fc1e5faab2aa1_727.txt
The bipartite traveling tournament problem (BTTP) was initially introduced by Hoshino and Kawarabayashi (AAAI 2011) to address inter-league sports scheduling, which aims to design a feasible bipartite tournament between two n-team leagues under some constraints such that the total traveling distance of all participatin...
quantumcomputing/37355_e4427061f6aeb8f8_196.txt
5.4.2 Two-qubit gates are exactly universal We will show in two steps that an arbitrary element of U (2n ) can be achieved by a finite circuit of two-qubit gates. First we will show how to express an element of U (N ) as a product of “2 × 2” unitaries; then we will show how to obtain any 2 × 2 unitary from a circuit of...
quantumcomputing/32894_c244c61d974ad5a8_236.txt
Abstract-The rise of social media platforms has revolutionized communication, enabling individuals to opinions, emotions, and experiences in real-time. With billions of users generating vast amounts of unstructured data daily, social media has become a rich resource for understanding public sentiment and social behavi...
quantumcomputing/34011_a5801def072ec91c_2669.txt
1. What “Infinity” Means 1. Actual, Potential, and Transcendental Infinity 2. The Rise of the Technical Terms 2. Infinity and the Mind 3. Infinity in Metaphysics 4. Infinity in Physical Science 1. Infinitely Small and Infinitely Divisible 2. Singularities 3. Idealization and Approximation 4. Infinity in Cosmology 5. In...
quantumcomputing/e4d503e5_10798.txt
The results of these benchmarking experiments are depicted in figure 4. Here, we perform a "strong" and "weak" scaling test as the total number of GPUs is doubled incrementally from 1 to 1024. Our use of quotations is intended to indicate that these are only basic proof of concept tests, not thorough explorations of th...
quantumcomputing/16341_d2459b6037275255_55.txt
Our logical GHZ state theoretically has a failure probability scaling as *p*2. Nevertheless, the error build-up (increasing *p*) during the operations of the circuit and the spreading of errors through transversal gates limits our logical GHZ fidelity to 72%. This is consistent with numerical modelling. Similar to the ...
quantumcomputing/1ff0459e_3205.txt
These authors contributed equally: A. Morvan, B. Villalonga, X. Mi, S. Mandrà
quantumcomputing/27984_723fd0fbfe5d7a11_641.txt
``` @article{ContPhys, author = {Coecke, Bob}, title = {Quantum picturalism}, year = {2009}, journal = {Contemporary Physics}, volume = {51}, pages = {59-83}, doi = {10.1080/00107510903257624}, urldate = {2009-08-13}, link = {http://arxiv.org/abs/0908.1787}, keywords = {ZX-Calculus, Foundational}, abstract = {The quant...
quantumcomputing/22087_69ca229ec5299de3_1716.txt
In this talk, we describe some applications of link Floer homology to the topology of surfaces in 4-space. If K is a knot in S^3, we will consider the set of surfaces in B^4 which bound K. This space is naturally endowed with a plethora of non-Euclidean metrics and pseudo-metrics. The simplest such metric is the stabil...
quantumcomputing/077eff28_119412.txt
There are a few different implementations for the Deutsch-Jozsa algorithm, but they all share the same 5-step process. In the first step, quantum registers and input states are prepared. In the second step, the qubits are organized into the Hadamard Basis. This means that each qubit has a 50 chance of being 0 and a 50...
quantumcomputing/16776_5e68663f418490bf_257.txt
We consider the problem of learning the exact skeleton of general discrete Bayesian networks from potentially corrupted data. Building on distributionally robust optimization and a regression approach, we propose to optimize the most adverse risk over a family of distributions within bounded Wasserstein distance or KL ...
quantumcomputing/16341_895a10efa5917d6e_53.txt
We construct a class of wormhole geometries supported by the non-local gravitational self-energy that regularizes the particle and black-hole sectors of spacetime. Using this framework, inspired by T-duality, we show that two entangled particles (or particle-black-hole pairs) naturally source an Einstein-Rosen-type geo...
quantumcomputing/32894_c244c61d974ad5a8_327.txt
Abstract-:The “Traffic Sign Classification using Deep Learning” project presents a cutting-edge approach to enhancing computer vision capabilities by recognizing and classifying traffic signs accurately. The project harnesses the potential of Python and employs two advanced deep learning models, MobileNet Architecture ...
quantumcomputing/6436_723fd0fbfe5d7a11_239.txt
``` @article{joshi2023quantum, author = {Joshi, Aravind and Kairali, Akshara and Raju, Renju and Athreya, Adithya and Monica P, Reena and Vishwakarma, Sanjay and Ganguly, Srinjoy}, title = {{Quantum Circuit Optimization of Arithmetic circuits using ZX Calculus}}, year = {2024}, journal = {International Journal of Innov...
quantumcomputing/6245_808db5389f8f8e1e_164.txt
BOB: Now the quantum method. First, we need to build a function box Uf of the type we used for the Deutsch algorithm, except in this case we have only one function to worry about. That seems to make it easier, but there is a catch. The complication is that we want to be able to handle bit sequences with n bits. That re...
quantumcomputing/8518_fa05262b0a811359_0.txt
``` circ = Circuit() toffoli gate with q0, q1 the control qubits and q2 the target. circ.ccnot(0, 1, 2) cnot gate circ.cnot(0, 1) controlled-phase gate that phases the |11> state, cphaseshift(phi) = diag((1,1,1,exp(1j*phi))), where phi=0.15 in the examples below circ.cphaseshift(0, 1, 0.15) controlled-phase gate that p...
quantumcomputing/9904_889bcb3d28cecf3a_224.txt
Following the idea of duality quantum computation, a generalized duality quantum computer (GDQC) acting on vector-states is defined as a tuple consisting of a generalized quantum wave divider (GQWD) and a finite number of unitary operators as well as a generalized quantum wave combiner (GQWC). It is proved that the GQW...
quantumcomputing/13334_db9c0f2f4b6f960d_2512.txt
Counterfeit equipment is becoming a major threat to nuclear safety globally. The Kudankulam Nuclear Power Plant (KKNPP) in India housing two VVER-1000 reactors, imported from Russia is being delayed because of counterfeit, substandard and obsolete equipment. The polar crane, the limb of the reactor, is defective as its...
quantumcomputing/17894_a8a638dc956ff973_89.txt
where E is the expectation value with respect to the specified distribution, DKL is the KL divergence between the distributions and x is the input from the training set. The later equality of the above expression is obtained by expressing pθ(y|x) using the Bayes theorem and regrouping terms. The KL divergence regulariz...
quantumcomputing/14816_3c88dabdfa514614_13.txt
subscript𝑋subscript𝑖1𝑠…subscript𝑋subscript𝑖𝑛𝑠X\_{i\_{1}+s},\dots,X\_{i\_{n}+s}italic\_X start\_POSTSUBSCRIPT italic\_i start\_POSTSUBSCRIPT 1 end\_POSTSUBSCRIPT + italic\_s end\_POSTSUBSCRIPT , … , italic\_X start\_POSTSUBSCRIPT italic\_i start\_POSTSUBSCRIPT italic\_n end\_POSTSUBSCRIPT + italic\_s end\_POSTSUB...
quantumcomputing/16776_895a10efa5917d6e_74.txt
Neutral atom quantum computers hold promise for scaling up to hundreds of thousands or more qubits, but their progress is constrained by slow qubit readout. Parallel measurement of qubit arrays currently takes milliseconds, much longer than the underlying quantum gate operations-making readout the primary bottleneck in...
quantumcomputing/32894_1a3242be6d6d31f8_131.txt
The bias-variance trade-off is a well-known problem in machine learning that only gets more pronounced the less available data there is. In active learning, where labeled data is scarce or difficult to obtain, neglecting this trade-off can cause inefficient and non-optimal querying, leading to unnecessary data labeling...
quantumcomputing/9055fbfb_0635.txt
The task of the controlled-phase \(\text{ C-Phase }({\mathbf {c}}; \phi _0,f)\), which is a lower-level algorithmic building block used in the implementations of the higher-level subroutines “StatePrep_b,” “StatePrep_R” and “HamiltonianSimulation” (see Fig. 2), is to apply a phase shift to a signed n-qubit input regist...
quantumcomputing/1226_889bcb3d28cecf3a_225.txt
Quantum tunneling is a phenomenon in which a quantum state tunnels through energy barriers above the energy of the state itself. Tunneling has been hypothesized as an advantageous physical resource for optimization. Here we present the first experimental evidence of a computational role of multiqubit quantum tunneling ...
quantumcomputing/212d3258_10519.txt
While deep networks have achieved broad success in analyzing natural images, when applied to medical scans, they often fail in unexcepted situations. We investigate this challenge and focus on model sensitivity to domain shifts, such as data sampled from different hospitals or data confounded by demographic variables s...
quantumcomputing/9339_98bc330e6ca89479_480.txt
States which are of the form p = 2~ n (l — e)I + e(7|00.. .0)(00.. . 0|(7^ (where U is any unitary operator), are called ‘effective pure states’, or ‘pseudopure’ states, re is the number of qubits, but the dimension of the Hilbert space need not be a power of two in general. There are many strategies for preparing such...
quantumcomputing/3960_1525ece966560489_1.txt
Perhaps the most critical question for the United States vis-à-vis China’s economic and technology challenge is whether China can become a real innovator. If China has difficulty becoming an innovator and remains largely a copier, then the threat to the United States and other allied technology economies is less. In th...
quantumcomputing/14994_cdd61dafb85483f2_289.txt
Creating well-functioning qubits is only one aspect of quantum computing. An equally important goal is the creation of a quantum information network — a quantum internet — that will be more secure than today’s internet. Nathalie de Leon, assistant professor of electrical engineering, is testing the viability of synthet...
quantumcomputing/6436_723fd0fbfe5d7a11_403.txt
``` @inproceedings{Carette2021quantum, author = {Carette, Titouan and D'Anello, Yohann and Perdrix, Simon}, title = {{Quantum Algorithms and Oracles with the Scalable ZX-calculus}}, year = {2021}, booktitle = {Proceedings 18th International Conference on Quantum Physics and Logic, Gdansk, Poland, and online, 7-11 June ...
quantumcomputing/13334_db9c0f2f4b6f960d_706.txt
Physical dimensions like ``mass'', ``length'', ``charge'', represented by the symbols $[M], [L], [Q]$, are {\it not numbers}, but used as {\it numbers} to perform dimensional analysis in particular, and to write the equations of physics in general, by the physicist. The law of excluded middle falls short of explaining ...
quantumcomputing/24212_45e264729078187e_242.txt
Abstract *Scene representations using 3D Gaussian primitives have produced excellent results in modeling the appearance of static and dynamic 3D scenes. Many graphics applications, however, demand the ability to manipulate both the appearance and the physical properties of objects. We introduce Feature Splatting, an ap...
quantumcomputing/b1b37ebf_119703.txt
This behavior is directly analogous to a classical XOR operation. If we consider the basis states 0 and 1 as binary 0 and 1, then CNOT transforms an input pair (control, target) as follows:
quantumcomputing/29980_80bfbc5717d9c1cb_8.txt
Challenge 2 - Long learning time: DRL must overcome the challenge of system delays to make timely and effective decisions. In highly dynamic environments, the state may change by the time a decision is made based on observed information, resulting in outdated or misleading feedback that hampers the learning process. As...
quantumcomputing/22087_69ca229ec5299de3_239.txt
I will talk about new approximation algorithms for the Asymmetric Traveling Salesman Problem (ATSP) when the costs satisfy the triangle inequality. Our approach is based on constructing a "thin" spanning tree from the solution of a classical linear programming relaxation of the problem and augmenting the tree to an Eul...
quantumcomputing/22108_db9c0f2f4b6f960d_889.txt
There are solutions of the Klein-Gordon equation for the massless neutrino that produce massless neutrino oscillation of flavor. These solutions serve as a counterexample to Pontecorvo, Maki, Nakagawa, and Sakata theory for neutrino oscillation of flavor, which implies neutrinos must have mass contrary to the standard ...
quantumcomputing/13334_db9c0f2f4b6f960d_3002.txt
This book is devoted to a detailed representation of the recent state of quantum TGD. The first part of the book summarizes quantum TGD in its recent form. General coordinate invariance and generalized super-conformal symmetries are the basic symmetries of TGD and Equivalence Principle can be generalized using gene...
quantumcomputing/4628_98bc330e6ca89479_381.txt
Intuitively it looks pretty good: for small t the effect of the evolution is to take | i/>) to (/ — itH)\i(i) = (1 — it)\t/) — it(x\tp)\x). That is, the \i/>) vector is rotated slightly, into the |x) direction. Let’s actually do a full analysis, with the goal being to determine whether there is a t, such that exp(—iHt)...
quantumcomputing/6245_808db5389f8f8e1e_157.txt
CARDY: It doesn’t seem that we have made much progress. In fact, it seems that we would still need to use two sets of input states to decide if f is constant or not. BOB: Good observation. What Deutsch was able to show—and this is typical in almost all quantum algorithms—is that if we use superposition states in place ...
quantumcomputing/26329_e6eb321e4e9c903b_355.txt
2.1 The Electroencephalogram (EEG) Neurones communicate with one another through electrical impulses. Neuronal electrical activity can be recorded with electrodes placed on the scalp (Fig. 2). This recording is called the electroencephalogram, or EEG. The EEG conveys the overall activity of millions of neurones in the ...
quantumcomputing/14816_5f2deb247b7d4485_352.txt
An optical implementation of the CNOT requires an interaction between the photonic qubits, which can occur when photons are in a nonlinear medium, or if they are interacting with a trapped ion in an optical cavity, and there was an intense search for optical implementations of the CNOT from the around mid-1990s. But an...
quantumcomputing/857cf34e_114636.txt
Essentially, by tapping into superposition and entanglement, quantum computers can use the probabilities to play that game of twenty questions even faster - potentially much, much faster - than our laptops, phones and even existing supercomputers.
quantumcomputing/c6840934_121359.txt
Adiabatic quantum computation Continuous-variable quantum information One-way quantum computer cluster state Quantum circuit quantum logic gate Quantum machine learning quantum neural network Quantum Turing machine Topological quantum computer Hamiltonian quantum computation
quantumcomputing/37355_e4427061f6aeb8f8_144.txt
hα|a† a|αi = |α|2 . Therefore, if α, β have comparable moduli but significantly different phases (as for a superposition of minimum uncertainty wave packets centered at x and −x), the decoherence rate is of the order of the rate for emission of a single photon. This rate is very large compared to the rate for a signifi...
quantumcomputing/ded7412f_11207.txt
While company projections should always be treated with caution, since they have a natural incentive to exaggerate their performance and roadmap, I thought it would be useful to aggregate what the major players in QC have been projecting. The industry has moved away from talking about their capacity in physical qubit t...
quantumcomputing/13334_44b7365178791961_281.txt
Rugged embedded computing brand - Cincoze continues to deepen its embedded computer range. Two newly launched industrial computers (P2202 Series and P1201), released in 2023, have been widely favored by customers for their thin and light design, especially in mobile devices (AGV/AMR), control cabinets, and other space-...
quantumcomputing/21985_287971b0e2e2e18d_256.txt
``` Yupeng Qin and Zhen Wang and Li Zou Analytical properties and solutions of a modified Lindemann mechanism with three reaction rate constants . . . . . . . . 389--401 Alexei M. Frolov Photodetachment of the outer-most electron(s) in few-electron atomic systems. Variational principle for the cross sections . . ....
quantumcomputing/175_40094682244c3a83_51.txt
We present a variational method for online state estimation and parameter learning in state-space models (SSMs), a ubiquitous class of latent variable models for sequential data. As per standard batch variational techniques, we use stochastic gradients to simultaneously optimize a lower bound on the log evidence with r...
quantumcomputing/13334_db9c0f2f4b6f960d_476.txt
The hypothetical dark matter and dark energy play the role of sources of gravity, supplementing what General Relativity predicts based on the observed masses in the Universe.This brief note accounts for this additional G-force / potential based on the Theory of Gravity of quantum origin, emerging from the quark structu...
quantumcomputing/14994_ba709dfaf74feae6_108.txt
Like many of the quantum computer algorithms, Shor’s algorithm is probabilistic: it gives the correct answer with any predetermined probability. This is achieved by repeatedly re-executing the algorithm. Since the proposed solution is verifiable in polynomial time, the algorithm can be modified to work in the expected ...
quantumcomputing/2270_2ed2d1df17fe28a3_59.txt
Now, I say mass-energy distribution, but really, once you notice that the only thing we care about is curvature, all we’re actually talking about is curvature itself; curvature curving curvature. Mass and energy don’t cause curvature, they’re just particular forms curvature takes; mass, when the curvature creates a sin...
quantumcomputing/c116bf31_0007.txt
Grover’s algorithm is one of the most well-known quantum algorithms. It is used to solve the search problem for finding M target elements in an unsorted database with N elements (\(M < N\)). Grover’s algorithm is widely used in many applications, such as cryptography , pattern matching , etc. The two main operations o...
quantumcomputing/22108_db9c0f2f4b6f960d_1024.txt
Physics theory has yet to settle on specific s for new elementary particles, for dark matter, and for dark energy forces. Our work extrapolates from the known elementary particles. The work suggests well-specified candidate s for new elementary particles, dark matter, and dark energy forces. This part of the work does ...
quantumcomputing/2565_1902f72523e6b3c3_310.txt
The depolarisation of the subsystem S B has led to a state which is called a Werner state. It AB |ΨAB is usually denoted by W AB (F ). ρAB is Bell diagonal. F = ΨAB − |ρ −  gives the degree of agreement of the Werner state with the initial state. It can be readily shown (see Problem 11.8) that the Werner state is e...
quantumcomputing/20750_ad4744a1e1e1b7e8_279.txt
we use a part of the actual implementation of our quantum Bayesian network instead. We use the function apply\_ischild\_sex we created in section 10.3. Basically, this function applies RY -gates on the qubits at the positions QPOS\_SEX and QPOS\_ISCHILD by the angle representing the corresponding marginal probabilities...
quantumcomputing/16785_f5b0288e0ea8c1ae_180.txt
10.5.2. Greedy algorithm The performance of the greedy top-down algorithm, corresponding to the work of Ladd et al., is the bottom line in Figure 10.9 [LAD 06]. Throughput in end-to-end Bell pairs created per second is plotted against distance. The X axis is labeled with both the number of hops and total distance in ki...
quantumcomputing/32894_979fc1e5faab2aa1_35.txt
The generalization of neural networks has been a major focus of research in deep learning. It is often interpreted as an implicit bias towards solutions with specific properties. Especially, in practical applications, it has been observed that linear neural networks (LNN) tend to favor low-rank solutions for matrix com...
quantumcomputing/8bb3e7ce_13333.txt
In the introduction I have made an ambiguous claim that quantum mechanics differs when compared with classical physics. The ambiguity comes from the fact that “classical physics” can be given at least three different meanings in this context: (non-relativisticFootnote 4) classical mechanics, classical statistical mecha...
quantumcomputing/8e9a77f9_4780.txt
Workflows that create dynamically shaped arrays via jnp.ones, jnp.zeros, jnp.arange, and jnp.full can now be captured. #6865) Workflows wherein the sizes of dynamically shaped arrays are updated in a qml.while_loop or qml.for_loop are now capturable. (#7084) (#7098) Workflows containing qml.cond instances that return a...
quantumcomputing/2c9f3608_7338.txt
The qubit is the quantum analogue of the bit, the classical fundamental unit of information. It is a mathematical object with specific properties that can be realised in an actual physical system in many different ways. Just as the classical bit has a state—either 0 or 1—a qubit also has a state. Yet contrary to the cl...
quantumcomputing/68bf9180_0314.txt
Kernel-ridge regression (see Section 3.2.2) has been extensively used in chemistry for a variety of other purposes too like predicting the energy of the highest occupied molecular orbital from three different molecular datasets506 using two different technique to encode structural information about the molecule or for ...
quantumcomputing/18150_723fd0fbfe5d7a11_250.txt
``` @article{comfort2023algebrfor, author = {Comfort, Cole}, title = {{The Algebra for Stabilizer Codes}}, year = {2023}, journal = {arXiv preprint arXiv:2304.10584}, urldate = {2023-04-20}, link = {http://arxiv.org/abs/2304.10584}, keywords = {Clifford Fragment, Qudits, Error Correcting Codes, Spekkens Toy Model, Cate...
quantumcomputing/16776_5e68663f418490bf_46.txt
In this work we explore recent advances in instruction-tuning language models on a range of open instruction-following datasets. Despite recent claims that open models can be on par with state-of-the-art proprietary models, these claims are often accompanied by limited evaluation, making it difficult to compare models ...
quantumcomputing/17418_c2c01ebb412339b8_185.txt
≈ 1.44 × 10 bytes ≈ 144 petabytes (1 petabyte is 1015 bytes) This is just the memory to hold the idealized states. The gate matrices will need to be stored too. And even though these are sparse—few nonzero entries—with such large dimensions, they add up pretty quickly too. By comparison, the Summit Supercomputer,d amon...
quantumcomputing/3773_cdd61dafb85483f2_132.txt
A quantum computation starts with initialized qubits, and then a series of unitary transformations are applied to transform the system into the desired configuration of superposition and entanglement — these series of gates are how we actualize a quantum algorithm. Once the series of gates and transformations are appli...
quantumcomputing/9073_d4c5c8d60ac2c184_5.txt
Bringing all these ideas together, the topic of this article is the link between the different types of quantum machine learning algorithms and their applications: What types of algorithms are used? Where are these algorithms implemented? We will address these questions based on the literature published in these resear...
quantumcomputing/306670dc_124902.txt
Shor s algorithm to factorize 15 using 7 x mod 15. numberofqubits 7 shots 1024 InitializeDebugger() q QuantumRegister(numberofqubits , 'q') c ClassicalRegister(4 , 'c') qc QuantumCircuit(q, c) Initialize source and target registers qc.h(0) qc.h(1) qc.h(2) qc.x(6) qc.barrier() Modular exponentiation 7 x mo...
quantumcomputing/22108_db9c0f2f4b6f960d_2288.txt
In recent papers a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all 3 generations has emerged in that framework. This idea is worked out in detail here by accommodating the fermion masses and mixings to microscopic parameters. The top qua...
quantumcomputing/22108_db9c0f2f4b6f960d_1265.txt
With the rapidly increasing number of devices and application components interacting with each other within larger complex systems, classical system hierarchies increasingly hit their limit when it comes to highly scalable and possibly fluctual organic systems. The holonic approach for self-\* systems states to solve s...
quantumcomputing/3960_0678c516274774e4_659.txt
Honestly, Chris, what do you expect? People read your theory, find it to be indecipherable, and you insult them. They ask for clarification, and you insult them some more and \*actively refuse\* to clarify anything. Do you just expect everyone to take your word for it and trust you? That your work should “speak for its...
quantumcomputing/3960_fb1484088e5afd52_59.txt
U.S. domestic law authorizes tariffs, duties, taxes, quotas, exclusions, and other import restrictions under certain circumstances. The lead agency is the Commerce Department, which investigates unfair foreign practices alleged by U.S. industry (or more rarely, launches self-initiated probes) and can impose import rest...
quantumcomputing/5610dbe6_1094.txt
Mohammad H. Amin, et al. Inspired by the success of Boltzmann Machines based on classical Boltzmann distribution, we propose a new machine learning approach based on quantum Boltzmann distribution of a transverse-field Ising Hamiltonian. Due to the non-commutative nature of quantum mechanics, the training process of th...
quantumcomputing/13334_db9c0f2f4b6f960d_1257.txt
We herein present a proof of the existence and smoothness of the Navier-Stokes equations via a new method of manipulating Calabi-Yau manifolds, which in turn leads us to a disproof by contradiction of the Collatz conjecture; four separate, independent proofs of the Jacobian conjecture; a complete decipherment of Linear...
quantumcomputing/bf7d290a_14288.txt
GGSHELLS: Are they a Waste or a Continuously Produced Natural Resource? Emerging Trends and Future Directions in Methane Mitigation from Livestock Sector Necessity of Studying the Relationship between Intestinal Microbes of Grassland Rodents and those of Poultry and Livestock Comparative Efficacy of Propofol, Alfaxalon...
quantumcomputing/32894_72cabeb6d560b66c_24.txt
As transistor dimensions shrink, process variations significantly impact circuit performance, signifying the need for accurate statistical circuit analysis. In digital circuit timing analysis, the Liberty Variation Format (LVF) has emerged as an industrial leading representation of timing distributions in cell librarie...
quantumcomputing/185ef960_0236.txt
Let \({\varvec{s}} \in \mathbb {Z}_q^n\) be a secret vector and let \(\mathscr {V} \subseteq \mathbb {Z}_q^n\). A quantum LWE sample for \({\varvec{s}}\) and \(\mathscr {V}\), denoted by \(\displaystyle \left| \psi ^{\tiny lwe }_{{\varvec{s}},\mathscr {V}} \,\right\rangle\), is defined as follows: where \(\chi _{\tiny ...
quantumcomputing/4628_add6c66665defb95_14.txt
This report documents the results of the tasks which initiated efforts on design issues relating to the Water Processor (WP) and the Oxygen Generation Assembly (OGA) Flight Hardware for the International Space Station. This report fulfills the Statement of Work deliverables requirement for contract H-29387D. The follow...
quantumcomputing/24212_723fd0fbfe5d7a11_333.txt
``` @inproceedings{10.1145/3489517.3530627, author = {Wille, Robert and Burgholzer, Lukas and Hillmich, Stefan and Grurl, Thomas and Ploier, Alexander and Peham, Tom}, title = {{The Basis of Design Tools for Quantum Computing: Arrays, Decision Diagrams, Tensor Networks, and ZX-Calculus}}, year = {2022}, booktitle = {Pr...
quantumcomputing/44116_42627d408d9e484f_272.txt
The Gulf Stream Meander Dynamics program off Blake Plateau region culminated in a third field program whose study Cape Hatteras, North Carolina was area extended from 300 to 360N. in the South Atlantic Bight and the designed to study the meandering ...
quantumcomputing/22087_69ca229ec5299de3_119.txt
The stress condition calls for an adequate activity of key enzymatic systems of cellular defense. Massive protein destabilization and degradation is occurring in stressed cells. The rate of protein re-synthesis (DNA->RNA->protein) is inadequate to adapt to rapidly changing environment. Therefore, an alternative mechani...
quantumcomputing/22108_db9c0f2f4b6f960d_1734.txt
A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest-neighbor sites. This model provides a more complete of the physics of strongly correlated electron systems. The sys...
quantumcomputing/29980_224976a547f6decb_54.txt
One possibility for getting physical error rates that low is topological quantum computing (Nayak et al. 2008), but so far not even a single topological qubit has been produced. If we were to use a platform with f = 0.999 gate fidelities as a NISQ platform (this would be an extremely accurate NISQ device), then already...