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quantumcomputing/10115_34b0ba78ddd01800_6.txt | What was to become quantum mechanics was, in the early twentieth century, to a large extent atomic physics. Apart from a drive to understand the structure of the periodic table of the chemical elements (e.g., the length of the periods 2, 8, 18, 32: why the series \(2n^2\)?), this mostly meant the study of the behaviour... |
quantumcomputing/30c515d7_121352.txt | where, with tensor product notation displaystyle otimes , x j displaystyle x_ j rangle indicates that qubit j displaystyle j is in state x j displaystyle x_ j , with x j displaystyle x_ j either 0 or 1. By convention, the basis state index x displaystyle x is the binary number encoded by ... |
quantumcomputing/22087_db9c0f2f4b6f960d_308.txt | Type 2 diabetes, often referred to as T2D, is a widespread health condition. This study focuses on the specific genetic variation in a single nucleotide poly- morphism (SNP) rs7903146 in the gene TCF7L2 and its potential association with T2D. We examined DNA samples from Bangladeshi individuals to see whether the genet... |
quantumcomputing/34011_b9fdfe94c5627562_37.txt | ML and AI tools can also be used to improve the currently noisy outputs of quantum computers. One of the major sources of error is still the output of a quantum computation (readout). Therefore, it is essential to minimize the readout-error in order to reach the usability of both NISQ computers and FTQCs. In this respe... |
quantumcomputing/16fb9d5a_1185.txt | David Deutsch, at the University of Oxford, England, describes the first universal quantum computer. Just as a Universal Turing machine can simulate any other Turing machine efficiently (Church–Turing thesis), so the universal quantum computer is able to simulate any other quantum computer with at most a polynomial slo... |
quantumcomputing/6245_7a0f56a6bb79783d_13.txt | The third place where I part ways with Roger is that I wish to maintain what’s sometimes called the Physical Church-Turing Thesis: the statement that our laws of physics can be simulated to any desired precision by a Turing machine (or at any rate, by a probabilistic Turing machine). That is, I don’t see any compellin... |
quantumcomputing/22108_db9c0f2f4b6f960d_196.txt | In fuzzy systems, how to represent uncertainty is a crucial research topic. Negation is an inherent characteristic of knowledge, and it provides a brand-new perspective of solving problems from the opposite of the events. Intuitionistic fuzzy sets (IFSs), as a generalization of the fuzzy sets, have the ability to bette... |
quantumcomputing/0f6b87d5_125338.txt | 36 Guedong Park, Hyukjoon Kwon, and Hyunseok Jeong, Extending Classically Simulatable Bounds of Clifford Circuits with Nonstabilizer States via Framed Wigner Functions , Physical Review Letters 133 22, 220601 (2024) . |
quantumcomputing/27984_a6019ccf7080d97d_209.txt | The NL is the first binaural nucleus in the auditory brain stem circuit of barn owls. This nucleus is responsible for interaural time difference computation to localize the sound source azimuth. Here, inhibition plays a key role in gain control, i.e. in regulating the detecting neurons' working range regardless of the ... |
quantumcomputing/2565_a8a638dc956ff973_211.txt | Grid search parameter optimization (GSPO) is defined by three parameters n, l and m. Every geometry set (containing NQMtype various physical properties) has a corresponding ML model with different variations of important features. Depending on the importance of particular feature, groups are formed containing n element... |
quantumcomputing/22108_808db5389f8f8e1e_153.txt | 11.1 Welcome to the Quantum Algorithm Zoo ALICE: We are finally ready to tackle some actual quantum computing algorithms. As we shall see, quantum computing algorithms are not just classical computing algorithms modified to run on a quantum computer. Quantum algorithms are new ways of thinking about problems and are de... |
quantumcomputing/1226_3fc4c296cc68989d_249.txt | The FE properties of graphene films may be further improved by optimizing the intrinsic structure of graphene, the deposition processing, and the morphology and thickness of the films. Reliable methods for the deposition of field emitting graphene and/or graphene/polymer composite films on different substrates need to ... |
quantumcomputing/22087_723fd0fbfe5d7a11_254.txt | ``` @article{wu2023zxcalculus, author = {Wu, Zipeng and Cheng, Song and Zeng, Bei}, title = {{A ZX-Calculus Approach to Concatenated Graph Codes}}, year = {2023}, journal = {arXiv preprint arXiv:2304.08363}, urldate = {2023-04-17}, link = {http://arxiv.org/abs/2304.08363}, keywords = {Error Correcting Codes, Graph Stat... |
quantumcomputing/22087_db9c0f2f4b6f960d_1688.txt | Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q$-difference operator. $(P,q)$-power difference introduced in section 5. A... |
quantumcomputing/175_40094682244c3a83_1695.txt | We consider the problem of teaching via demonstrations in sequential decision-making settings. In particular, we study how to design a personalized curriculum over demonstrations to speed up the learner's convergence. We provide a unified curriculum strategy for two popular learner models: Maximum Causal Entropy Invers... |
quantumcomputing/20712_178754fff311c8b6_286.txt | There are large febezzlement effects and some ordinary embezzlement effects that come from derivative activity. And the reversal of these is going to cause pain. How big the pain will be and how well it will be handled, I can’t tell you. But you would be disgusted if you had a fair mind and spent a month really delving... |
quantumcomputing/4628_98bc330e6ca89479_612.txt | The Gottesman-Knill theorem highlights how subtle is the power of quantum compu¬ tation. It shows that some quantum computations involving highly entangled states may be simulated efficiently on classical computers. Of course, not all quantum computations (and therefore, not all types of entanglement) can be described ... |
quantumcomputing/29980_684161dc888e2e73_45.txt | In order to deal with these challenges, several ingenious solutions have been devised, including quantum error correction codes and fault tolerant computation (Aharonov & Ben-Or 1997; de Beaudrap & Horsman 2020; Horsman, Fowler, Devitt, & Van Meter 2012; Raussendorf, Harrington, & Goyal 2008; Shor 1995; Shor & DiVincen... |
quantumcomputing/18ab32c1_2770.txt | Abbas, Montasir Mahgoub (2001) A real time offset transitioning algorithm for coordinating traffic signals Achana, Francis Tumkoba (2001) Differential leisure participation in the arts within a multicultural context Adams, Douglas Scott (2001) Effects of lateral confinement on the static and dynamic strength of brittle... |
quantumcomputing/2258_ba4096302e7b1742_451.txt | ``` @article{cowtan2020generic, author = {Cowtan, Alexander and Simmons, Will and Duncan, Ross}, title = {{A Generic Compilation Strategy for the Unitary Coupled Cluster Ansatz}}, year = {2020}, journal = {arXiv preprint arXiv:2007.10515}, urldate = {2020-07-20}, link = {http://arxiv.org/abs/2007.10515}, keywords = {Op... |
quantumcomputing/38735_4268de2ba98204ef_334.txt | In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a $4$-dimensional black hole with a deficit solid angle and quintessence-like matter. We find that the radii of the photon sphere and shadow decrease with the decreases of the deficit solid angle and density of quintessence-like mat... |
quantumcomputing/1629_3abeac199875c936_535.txt | Fig. 5.5 Experiment proposed in Auletta and Tarozzi (2004a). A source laser pumps a photon in the state | γ . Successively, a parametric down-conversion allows the emission of two photons, the idler photon (in the state | i ) and signal photon (in the state | s ). If γ has frequency ν and energy hν, the two outgoing... |
quantumcomputing/32894_e26caa74eb27f4da_215.txt | Differential privacy (DP) is a privacy-preserving paradigm that protects the training data when training deep learning models. Critically, the performance of models is determined by the training hyperparameters, especially those of the learning rate schedule, thus requiring fine-grained hyperparameter tuning on the dat... |
quantumcomputing/2ac42d07_116183.txt | displaystyle begin aligned R _ x ( theta ) amp; e (-i theta X 2) cos( theta 2)I-i sin( theta 2)X begin bmatrix cos theta 2 amp;-i sin theta 2 -i sin theta 2 amp; cos theta 2 end bmatrix R _ y ( theta ) amp; e (-i theta Y 2) cos( theta 2)I-i sin( theta 2)Y begin bmatrix cos theta 2 amp;- ... |
quantumcomputing/44116_58b87e4807ca5e69_221.txt | to this situation by insisting that Gödel’s work requires “at least a partial reversal of the entire axiomatic trend of the late nineteenth and early twentieth centuries, with a return to meaning and truth as being of the essence of mathematics”.7 Frege’s reference to the “role of the infinite in arithmetic” is very mu... |
quantumcomputing/2565_180819832b759be4_243.txt | Thus, we have a formal solution, but it is useless without knowing the λj and |uj ⟩. This is where the HHL algorithm comes in. It uses quantum phase estimation to determine the λj and writes them into a quantum register. They have to be numerically inverted to prepare the solution state |x⟩. This is the basic idea of t... |
quantumcomputing/14994_ebeb95a89c78f21f_91.txt | The arrow at the bottom represents the states changing from ψ0 to ψ1. The output will be 0 if f(x) is balanced and 1 if f(x) is constant. For n bits of input, the final output will be n 0s if f(x) is constant. Any other output (any combination of 0s and 1s, or all 1s) indicates that f(x) is balanced. Like the Deutsch a... |
quantumcomputing/14816_baea7bc0d09df8ad_334.txt | How, though, would one’s own consciousness fit into this scenario? Well, each infinite mind is “a single existent” in this sense, that its ingredients stand to it somewhat as a ruby’s shape and its redness stand to the ruby; they couldn’t exist independently, any more than could the particles in the Bose-Einstein conde... |
quantumcomputing/22087_e1ef1f358f6bc321_232.txt | Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas which motivated the design of efficient methods for numerically approximating the zeros of quaternionic polynomials. In fact, one can find in the ... |
quantumcomputing/762c2e14_120449.txt | We have examined how to map the evolution of photonic systems with path and polarization degrees of freedom into qumodes evolving under unitary operations. The main takeaway is that a system with (N ) paths and 2 polarization degrees of freedom can be mapped into a system of (2N ) qumodes. We have also explored in de... |
quantumcomputing/16776_e26caa74eb27f4da_93.txt | Data-driven benchmarks have led to significant progress in key scientific modeling domains including weather and structural biology. Here, we introduce the Zebrafish Activity Prediction Benchmark (ZAPBench) to measure progress on the problem of predicting cellular-resolution neural activity throughout an entire vertebr... |
quantumcomputing/3960_0678c516274774e4_168.txt | *R is the set of points that is our universe, L is the Boolean sigma-algebra of all subsets of R, and ~0~ is the empty subset (or what was historically called the nullset.) By a ‘family of sets’ we understand an indexed set of sets (these set indexes are essential for the generation of sequences of sets that are also u... |
quantumcomputing/803b3ab6_123919.txt | The controlled-phase gate, often denoted CP( theta ) or simply CPHASE, is a two-qubit gate that imparts a conditional phase shift between the two qubits. It leaves computational basis states unchanged except for one case: when both the control and target are 1 rangle , the state s phase is rotated by an angle ... |
quantumcomputing/25808_2823ca7432943e2b_22.txt | To delve into the science of quantum entanglement, it is essential to start with the fundamental principles of quantum mechanics. Quantum mechanics is a branch of physics that deals with the behavior of matter and energy at an atomic and subatomic level. Here, the classical laws of physics no longer apply, and instead,... |
quantumcomputing/38735_4268de2ba98204ef_283.txt | A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity of such a theory in two spatial dimensions for a critical scalar. We find a Drude... |
quantumcomputing/14816_184d3f0af3fe5585_225.txt | Geomancy is communicating with the supernatural by interpreting patterns or markings on the ground, whether these occur naturally or are created by tossing out rocks, sand, soil, and the like. Quantum computing’s use of the Bloch sphere is not that different, except for being in 3D and incorporating imaginary numbers. ... |
quantumcomputing/4625_578753610752009e_49.txt | In a simple spectroscopic experiment, we probe an atom by studying the photons that it emits and absorbs. The atom is therefore not informationally isolated. No interference effects between the levels can be observed, so we can always imagine the atom to be in some particular energy level at any given time. Because spe... |
quantumcomputing/15280_ca3752daa9705eee_94.txt | In 1996, Lov Grover demonstrated that we can obtain a quadratic speedup in algorithmic search on a quantum computer compared with a classical one [98]. While this is not exponential speedup, it is still significant. The search problem can be set up as follows. Given a function f .x/ such that f .a / D 1 and all other ... |
quantumcomputing/22108_db9c0f2f4b6f960d_2576.txt | Between 2007/2008 and 2012/2013, inflation adjusted undergraduate tuition fees for full-time Canadian students increased significantly in all disciplines. All disciplines except dentistry also exhibited substantial increases in inflation adjusted graduate tuition fees for full-time Canadian students over this period. I... |
quantumcomputing/15280_ca3752daa9705eee_65.txt | where ˚ denotes addition modulo-2. It’s easy to see that Of is unitary (reversible) because it is self-inverse. This can seem like “cheating” at first — how could we construct a circuit to perform Of ? And how could we know it’s an efficient circuit? One reason to think about quantum algorithms in the query model is be... |
quantumcomputing/9714006a_115934.txt | For bringing to light some relevant aspects of the rule of composition (24) of the Poincaré vectors of the input SOP and of the diattenuator, it is useful to decompose the output SOP along the Poincaré axis of the diattenuator, n d , and perpendicular to it, m d (Figure 1), seeking the longitudinal and transversal effe... |
quantumcomputing/8d16a201_124214.txt | Furthermore, y 0 x z 0 y 0 z 0 z 0 2 y 0 z 0 z 0 z 0 2 z 0 1 2 z 0 z 0 2 z 0 1 2 z 0 z 0 E 1 2 i i i where (E) is true because z 0 z 0 and, thus, z 0 z 0 1 for integral numbers z 0 and z 0 . Together, we obtained y 0 x z 0 1 2 q N 1 x p N 1 , which is a contradi... |
quantumcomputing/175_40094682244c3a83_2039.txt | While effective, deep neural networks (DNNs) are vulnerable to adversarial attacks. In particular, recent work has shown that such attacks could be generated by another deep network, leading to significant speedups over optimization-based perturbations. However, the ability of such generative methods to generalize to d... |
quantumcomputing/20750_ad4744a1e1e1b7e8_102.txt | The Qiskit QuantumCircuit object provides the ry function (line 13). ry is for Ry gate. Because it rotates the qubit around the y-axis of the quantum system, this function takes the angle θ (in Radians) as the first parameter. The value of 2\*pi denotes a full rotation of 360°. The second parameter of the function is t... |
quantumcomputing/49da6c74_120503.txt | Since elementary particles are point-like, self-rotation is not well-defined for them. However, spin implies that the phase of the particle depends on the angle as e i S θ , displaystyle e iS theta , for rotation of angle θ around the axis parallel to the spin S. This is equivalent to the quantum-mechanical inte... |
quantumcomputing/34011_97a166cde10c3127_108.txt | **Publisher D****escription:** A well-rounded and articulate examination of polymer properties at the molecular level, Polymer Chemistry focuses on fundamental principles based on underlying chemical structures, polymer synthesis, characterization, and properties. It emphasizes the logical progression of concepts and p... |
quantumcomputing/6245_808db5389f8f8e1e_191.txt | √ Eq. (12.19) shows that the number of iterations grows as N for the quantum algorithm. We argued before that the classical algorithm requires about N/2 “flips” on average. This result illustrates the advantage of the quantum algorithm in reducing the number of iterations that are needed to find the target state. CARDY... |
quantumcomputing/22087_cfa6e6481b8cd2bd_288.txt | In this talk we discuss a new higher-order and anisotropic total variation model for image processing. This new model combines higher-order total variation regularisation with possibly inhomogeneous, smooth elliptic anisotropies. We prove some properties of this total variation model and of the associated spaces of ten... |
quantumcomputing/1629_3abeac199875c936_314.txt | our ontological question. But what means “to observe” or “to measure”? It means to acquire information that we did not possess beforehand; otherwise, it makes no sense to observe (Sect. 2.2.2). In fact, as recalled in Sect. 3.1.1, the motivation for the subjectivist interpretation was the possibility to solve the probl... |
quantumcomputing/46691cc9_1600.txt | Towards a Minimal Stabilizer ZX-calculus Miriam Backens, Simon Perdrix and Quanlong Wang Show abstract ⇲ Show bibdata ⇲ Logical Methods in Computer Science Keywords: ZX-calculus, Clifford Fragment, Minimality, Completeness, Scalars. The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum... |
quantumcomputing/22087_db9c0f2f4b6f960d_2830.txt | In this paper we applied a finite element method to finding the effects on the reverberation times of common irregularities like curved surfaces, non-parallel walls and large open-walled ante-rooms, found in auditoria. The number of modes having a reverberation time in a specified time interval is expressed as a functi... |
quantumcomputing/686e047c_10234.txt | Presenting Author: Akshay Seshadri, University of Colorado Boulder With growing interest in developing large-scale quantum devices, learning properties of quantum systems such as expectation values has become increasingly important. Many studies derive bounds on the sample complexity for the learning task at hand by al... |
quantumcomputing/22108_db9c0f2f4b6f960d_2736.txt | Through a convenient mathematical approach for the Navier-Stokes equation, we obtain the quadratic dependence $v^{2}$ of the drag force $F\_{D}$ on a falling sphere, and the drag coefficient, $C\_{D}$, as a function of the Reynolds number. Viscosity effects related to the turbulent boundary layer under transition, from... |
quantumcomputing/b5e30ec8_116494.txt | Crucially, Sycamore's hardware was engineered for high fidelity in both single- and two-qubit operations. Google reported performing 1,113 single-qubit gates and 430 two-qubit gates in the largest circuits, with an expected total output fidelity of about 0.2 . While 0.2 might sound extremely low, it meant the quantum ... |
quantumcomputing/2145_21938d670c7d6cec_3.txt | Grover-based algorithms attack S-AES by searching the target item in an unstructured database containing *N* items. Initially, the quantum state is prepared in a superposition state \(\left\vert {\psi }\_{0}\right\rangle =(1/\sqrt{N})\mathop{\sum }\nolimits\_{x = 0}^{N-1}\left\vert x\right\rangle\). After \(\frac{\pi }... |
quantumcomputing/29980_272eab3524d105b4_4.txt | A pivotal moment in quantum computing: Google Quantum AI has demonstrated an algorithm on its Willow quantum processor that tackles a physics problem at a speed orders of magnitude faster than classical supercomputers. Published in Nature, this work used out-of-time-order correlators (OTOCs) to measure how information ... |
quantumcomputing/32894_c65187f488c01dde_890.txt | In cooperative multi-agent reinforcement learning, a team of agents works together to achieve a common goal. Different environments or tasks may require varying degrees of coordination among agents in order to achieve the goal in an optimal way. The nature of coordination will depend on properties of the environment—it... |
quantumcomputing/1629_ffec68556b99fa4a_47.txt | Motivated by the recent observation that exponentially long coherence times can be achieved for edge spins in models with strong zero modes, we study the impact of level crossings in finite-length spin chains on the dynamics of the edge spins. Focusing on the X Y spin-1 /2 chain with a transverse or longitudinal magnet... |
quantumcomputing/3815_a8a638dc956ff973_214.txt | In a recent study by How et al.,600 supervised and unsupervised ML techniques have been used for feature selection, prediction of non-adiabatic couplings, and excitation energies of NA MD simulations of CsPbI3 metal halide perovskites (MHPs). MHPs have high optical absorption, low cost of manufacturing and long carrier... |
quantumcomputing/255694ce_125746.txt | This result occurs with probability a 2 b 2 a 2 b 2 a 2 b 2. The resulting state of the first qubit is, of course, 0 0 rangle 0 . |
quantumcomputing/8729_23e9aeec4fe3bb40_155.txt | jestli máš na mysli hlavně chatboty tak tyhle všechny mají free verze co jsou sice míň chytrý než paid ale taky ujdou na nějaký tasky :smile: classsic je extremne blizko paid chatgpt (paid verze je v některých věcech lepší než paid chatgpt) cool chatting s modelem na skoro urovni paid chatgpt zadarmo google ma dobry na... |
quantumcomputing/6436_184d3f0af3fe5585_299.txt | At this writing, Braket offers quantum computing hardware from IonQ, OQC, QuEra and Rigetti. IonQ uses trapped ion qubits; OQC and Rigetti run superconducting qubits; and QuEra uses cold atoms (all are mentioned in Chapters 10 and 11). This flexibility can also lead to difficulties; as a unified platform that runs on ... |
quantumcomputing/7161_065eca29c1f9f89a_2.txt | In quantum computing and quantum mechanics, this is not a normalization imposed by people on the data, but a fundamental property of quantum states. Depending on your encoding scheme, this constraint may affect how your data are rescaled. For example, in amplitude encoding (see below), the data vector is normalized ∣x⃗... |
quantumcomputing/1226_889bcb3d28cecf3a_3.txt | Quantum information processing devices need to be robust and stable against external noise and internal imperfections to ensure correct operation. In a setting of measurement-based quantum computation, we explore how an intelligent agent endowed with a projective simulator can act as controller to adapt measurement dir... |
quantumcomputing/749c8a08_126579.txt | As a consequence, the quantum state of a particle with spin is described by a vector-valued wave function with values in C2S 1. Equivalently, it is represented by a complex-valued function of four variables: one discrete quantum number variable (for the spin) is added to the usual three continuous variables (for the po... |
quantumcomputing/14816_5f2deb247b7d4485_327.txt | of this experiment was to confirm conditional teleportation of photonic qubits, so it dispensed with polarizing beam splitters in the Bell-state measurement, allowing it to only recognize one of the Bell states in the HOM interferometer. Another simplification was the use of post-measurement data analysis to verify tel... |
quantumcomputing/a27ad9eb_116502.txt | Another implication is economic and talent-related: a clear quantum computing milestone can trigger greater investment from governments and enterprises. In the late 2010s, countries like the USA, China, and those in the EU launched national quantum initiatives worth billions of dollars. Google's supremacy result, being... |
quantumcomputing/34793_e272bdff51b1eb10_318.txt | Risk-sensitive reinforcement learning (RL) has garnered significant attention in recent years due to the growing interest in deploying RL agents in real-world scenarios. A critical aspect of risk awareness involves modelling highly rare risk events (rewards) that could potentially lead to catastrophic outcomes. These i... |
quantumcomputing/9339_622391702acffd65_186.txt | 20.1.2 QCA multiplication networks The QCA circuit has a four phase clocks and the circuit areas are divided into four clock zones. One clock zone delay is denoted by the D−1 operator which corresponds to a quarter cycle. That is, D−4 = Z−1. Based on the QCA circuit characteristics, one clock zone delays a quarter cloc... |
quantumcomputing/2d7254f3_120056.txt | Despite significant recent progress with Noisy Intermediate Scale Quantum (NISQ) computers Morvan2024 , running efficient quantum algorithms on sQPUs for practical goals is still limited by the current hardware capabilities. Excluding leading commercial players like Google or IBM Qubits2024 , most of the sQPUs availabl... |
quantumcomputing/22108_db9c0f2f4b6f960d_878.txt | There is no a nucleus with more than two neighboring protons, because the presence of a third proton creates an increased negative potential that exceeds their stability potential, causing a cleaving (beta decay β+) of this third proton. These two protons are next to each other and due to their opposite magnetic moment... |
quantumcomputing/16776_0d5ba2eb70a7c577_100.txt | Abstract: In this talk, we show that for a class of linearly constrained convex composite optimization problems, an (inexact) symmetric Gauss-Seidel based majorized multi-block proximal alternating direction method of multipliers (ADMM) is equivalent to an inexact proximal augmented Lagrangian method (ALM). This equiva... |
quantumcomputing/6245_808db5389f8f8e1e_6.txt | 1.2 What’s the Big Deal about Quantum Computing? ALICE: Welcome, Cardy. CARDY: Hi, Alice and Bob. Thanks for inviting me over. I heard that you two had figured out some simple ways of understanding why quantum computing (QC) and quantum information science (QIS) are important and can explain all of that to a non-expert... |
quantumcomputing/9339_a38937c5090409ef_657.txt | But for each x, H(Y |X = x) = H(p) so H(X : Y ) = H(Y ) − H(p), which is maximized by choosing q = 1/2, so H(Y ) = 1 and therefore C(N ) = 1 − H(p) by Shannon’s noisy channel coding theorem, just as our earlier intuitive calculation of the channel capacity of the binary symmetric channel suggested. Exercise 12.9: The e... |
quantumcomputing/2276_eb2d3cb01bbb3072_3.txt | The story of how we trained people en masse to solve analytical problems and then ultimately automated their work has unfolded over a thousand years and defined the modern world. Understanding this history gives us a better sense of what are the time-invariant truths of Computer Science and what are just fads. Those of... |
quantumcomputing/6436_184d3f0af3fe5585_244.txt | Finding Waldo in a Sea of Striped Hats Those of us who grew up on the Where’s Waldo books (called Where’s Wally in the UK, and by other names elsewhere) — or read them to kids of our own — will remember the complex crowd scenes that filled the books, with Waldo and his striped hat hidden in the crowd. The Where’s Wal... |
quantumcomputing/09b66e08_11593.txt | We start our VQE calculation by defining the Hamiltonian for the hydrogen molecule (H2H_2H2) at a specific bond distance. This Hamiltonian represents the total energy of the system in terms of qubit operators, having been produced and mapped from the molecular system using a standard procedure: 1) employing the STO-6G... |
quantumcomputing/32894_c65187f488c01dde_695.txt | Open-ended learning methods that automatically generate a curriculum of increasingly challenging tasks serve as a promising avenue toward generally capable reinforcement learning agents. Existing methods adapt curricula independently over either environment parameters (in single-agent settings) or co-player policies (i... |
quantumcomputing/1226_3fc4c296cc68989d_352.txt | While tensile stress can directly improve the Q-factor, free-hanging graphene often suffers from slack after fabrication, e.g. caused by thermal expansion mismatch during T variations, e.g. after cleaning by thermal annealing. This can be counteracted by clamping to a polymer that shrinks drastically with T,1675 which ... |
quantumcomputing/34011_a5801def072ec91c_1059.txt | Experts opposed to traversable wormholes usually have less of a problem with there being wormholes than with them being traversable. Although Thorne himself believes that traversable wormholes probably do not exist naturally, he also believes they might in principle be created by a more advanced civilization. However, ... |
quantumcomputing/9073_303b46c6a5f64744_330.txt | Related Patterns The details of a Rate Limit can be part of a Service Level Agreement. A Rate Limit can be dependent on the client’s subscription level, which is described further in the Pricing Plan pattern. In such cases, the Rate Limit is used to enforce different billing levels of the Pricing Plan. Wish List or a W... |
quantumcomputing/24212_723fd0fbfe5d7a11_583.txt | ``` @inproceedings{Backens:2015aa, author = {Miriam Backens}, title = {{Making the stabilizer ZX-calculus complete for scalars}}, year = {2015}, booktitle = {Proceedings of the 12th International Workshop on Quantum Physics and Logic (QPL 2015)}, editor = {Chris Heunen and Peter Selinger and Jamie Vicary}, series = {El... |
quantumcomputing/22087_4268de2ba98204ef_328.txt | Helicity is a useful concept both for $AdS\_4$ and CFT${}\_3$ studies. We work out the complete $AdS\_4/CFT\_3$ dictionary for spinning fields/operators in the spinor-helicity base that allows one to scalarize any $n$-point contact vertex. $AdS\_4$-vertices encode correlation functions of conserved currents, stress-ten... |
quantumcomputing/14816_184d3f0af3fe5585_47.txt | Classical computers are Turing machines, with two exceptions: They use RAM instead of tape — though RAM can be used in a way that emulates tape — but the amount of RAM or tape available is not infinite. Yet most computer programming languages are “Turing complete,” which means they are capable of carrying out any imagi... |
quantumcomputing/14472_a8a638dc956ff973_54.txt | Similarly we can obtain . To construct the condition probabilities with more than one condition, we need to include control rotation gates with more than one control qubit. For example, t... |
quantumcomputing/c028d570_14042.txt | Haimeng Zhang, IBM Quantum, USA Pedro Rivero, IBM Quantum, USA Swarnadeep Majumder, IBM Quantum, USA |
quantumcomputing/3960_0678c516274774e4_158.txt | The only thing you offered trying not to be a belief is: the gap of faith is greater in the those who belief A to be false. I already addressed that: that’s subjective, and there has being a lot of situations where this have being the case in history, and it resulted the most explanation with the “greater gap of faith”... |
quantumcomputing/9339_98bc330e6ca89479_435.txt | Cavity quantum electrodynamics (QED) is a field of study which accesses an important regime involving coupling of single atoms to only a few optical modes. Experimentally, this is made possible by placing single atoms within optical cavities of very high Q; because only one or two electromagnetic modes exist within the... |
quantumcomputing/9904_7ae05d4adf606362_373.txt | we choose holomorphic coordinates (z1 , z2 ) for J+ respecting this decomposition, then (z1 , z2 ) furnish holomorphic coordinates for J− . As the metric g is of type (1, 1) with respect to both J± , it is of the form g = g1¯1 dz1 dz1 + g2¯2 dz2 dz2 . The graphs of the i-eigenspaces of J± via b ± g coincide with the in... |
quantumcomputing/17677_ecf384143be764f0_20.txt | 1.10 QKD QKD begins by transmitting photons that are generated at random in four quantum states, employing rectilinear and diagonal basis. A rectilinear basis has two states: a 0 in binary is polarized horizontally to 0° and 1 in binary 1 is polarized vertically to 90°. Likewise, the two states of diagonal basis, binar... |
quantumcomputing/16341_16a55bc42dde3474_9.txt | Scott, any comment on Alex’s #37? GPT got full credit for a completely wrong answer 2(a) to the short-form questions. The density matrix it starts with is [1001,0110,0110,1001]/3, which does not have rank 1, and has trace 4/3. AFAICT tracing out the first qubit in this wrong density matrix should give (2/3)[1,0;0,1] bu... |
quantumcomputing/34793_e272bdff51b1eb10_304.txt | Current Reinforcement Learning (RL) methods often suffer from sample-inefficiency, resulting from blind exploration strategies that neglect causal relationships among states, actions, and rewards. Although recent causal approaches aim to address this problem, they lack grounded modeling of reward-guided causal understa... |
quantumcomputing/efb3bf0d_116903.txt | ψ i λ i ψ A i ψ B i lvert psi rangle sum _ i lambda _ i lvert psi _ A i rangle otimes lvert psi _ B i rangle italic _ψ start _POSTSUBSCRIPT italic _i end _POSTSUBSCRIPT italic _λ start _POSTSUBSCRIPT italic _i end _POSTSUBSCRIPT italic _ψ start _POSTSUBSCRIPT italic _A end _POSTSUB... |
quantumcomputing/27984_723fd0fbfe5d7a11_646.txt | ``` @inproceedings{DuncanPerdrixGraphStates, author = {Duncan, Ross and Perdrix, Simon}, title = {Graph states and the necessity of {Euler} decomposition}, year = {2009}, booktitle = {Conference on Computability in Europe}, pages = {167--177}, organization = {Springer}, doi = {10.1007/978-3-642-03073-4\_18}, urldate = ... |
quantumcomputing/9339_98bc330e6ca89479_707.txt | Such a transform, which can be realized using just controlled-NOT and Toffoli gates, reversibly packs the typical subspace into the first ss nH(p) qubits (from left to right). To complete the scheme, we also need a quantum gate V, which rotates single qubits into the |0), |1) basis. The desired compression scheme is th... |
quantumcomputing/22087_69ca229ec5299de3_1850.txt | While producing subgroups of a group by specifying generators is easy, understanding the structure of such a subgroup is notoriously difficult problem. In the case of hyperbolic groups, Gitik utilized a local-to-global property for geodesics to produce an elegant condition that ensures a subgroup generated by two ele... |
quantumcomputing/9339_622391702acffd65_78.txt | 8.4.2 The components of the quantum divider circuit The main components of the quantum divider circuit are the QAC, quantum fullsubtractor (QFS) circuit, QNG circuit, quantum numerator addition (QNA) circuit, and QDS circuit. These circuit components of the quantum divider are elaborated as follows. 8.4.2.1 The quantum... |
quantumcomputing/2da42f72_126651.txt | Measurements, macroscopic operations on quantum states, filter the state. 1 : 196 Whatever the input quantum state might be, repeated identical measurements give consistent values. For this reason, measurements 'prepare' quantum states for experiments, placing the system in a partially defined state. Subsequent mea... |
quantumcomputing/34011_a5801def072ec91c_2259.txt | The scrupulous view of Speca (2001) is methodologically safe, but it is worth noticing that there are at least three important differences between Boethius’ hypothetical syllogistic logic and Stoic logic. One is negation: Peripatetic hypothetical negation follows the argumentative line of categorical negation; the nega... |
quantumcomputing/de442215_3886.txt | In some systems, such as the ground state of gapped, local Hamiltonians, the bond dimension scales favorably with system size n in virtue of the area law : the bipartition entropy increases as the area \(\propto n^{d-1}\) of the bipartition (d refers to the dimension) rather than the volumes \(\propto n^{d}\) of the su... |
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