id stringlengths 34 48 | text stringlengths 0 2.93M |
|---|---|
quantumcomputing/16785_8ecc1c53b3b42b31_162.txt | The structure of finite Abelian groups is well understood. Every finite Abelian group is isomorphic to a product of one or more cyclic groups Z nj . For example, for the product n of two relatively prime integers p and q , the group Z n is isomorphic to Zp xZ ? . Any finite Abelian group A has a unique decomposition (u... |
quantumcomputing/22108_c2c01ebb412339b8_64.txt | Since each classical state is reported as a concatenated string c[2]c[1]c[0], when you run this program, you’ll see four bars in the output corresponding to the four columns in the mega-qubit. By reading from bottom to top for each column in the above table, you’ll get the four states: 000, 110, 101, and 011, all appea... |
quantumcomputing/e378e86a_10819.txt | “SMF wrote the main manuscript text. All authors reviewed the manuscript.” |
quantumcomputing/3960_0678c516274774e4_585.txt | I had said, “Science doesn’t EXPLAIN shit!”, you replied, “This is just pure crackpottery, lol.”, not at all. The whole point, again, Rubix, is that science speaks of “explanation” only because speaking in positive is so much easier. Every quality scientist knows, even as he “explains” the phenomena, that he is not exp... |
quantumcomputing/34011_a5801def072ec91c_1269.txt | Alan Gewirth was an American philosopher, famous for his argument that universal human rights can be rationally justified as the outcome of claims necessarily made by rational agents. According to this argument, first outlined in *Reason and Morality* (1978), all agents necessarily want to be successful in their action... |
quantumcomputing/18150_723fd0fbfe5d7a11_514.txt | ``` @article{jeandel2019completeness, author = {Jeandel, Emmanuel and Perdrix, Simon and Vilmart, Renaud}, title = {{Completeness of the ZX-Calculus}}, year = {2020}, journal = {Logical Methods in Computer Science}, month = {6}, doi = {10.23638/LMCS-16(2:11)2020}, urldate = {2019-03-13}, link = {https://arxiv.org/abs/1... |
quantumcomputing/22108_db9c0f2f4b6f960d_870.txt | The aim of this paper is to give a computational treatment to compute the cup iproduct and Steerod operations on cohomology rings of as many groups as possible. We find a new method that could be faster than the methods of Rusin, Vo, and Guillot. There are some available approaches for computing Steenrod operations on ... |
quantumcomputing/37355_e4427061f6aeb8f8_265.txt | To evaluate the quantum amplitude for a configuration of n particles at specified initial positions at time t = 0 to evolve to a configuration of n particles at specified final positions at time t = T , we are to sum over all classical histories for the n particles that interpolate between the fixed initial configurati... |
quantumcomputing/fe6a3587_114781.txt | For the broader computing industry, quantum supremacy underscores that classical computing is nearing some fundamental limits for certain problems. Classical supercomputers will of course continue to improve, but not at the exponential pace needed to catch up with exponential quantum state spaces. This is prompting a r... |
quantumcomputing/7614d662_119900.txt | where P hπ 2 ei π2 𝟙𝑃subscriptℎ𝜋2superscript𝑒𝑖𝜋2double-struck-𝟙Ph_ pi 2 e i frac pi 2 color rgb 0,0,0 definecolor named pgfstrokecolor rgb 0,0,0 pgfsys color gray stroke 0 pgfsys color gray fill 0 mathbb 1 italic_P italic_h start_POSTSUBSCRIPT italic_π 2 end_POSTSUBSCRIPT italic_e start_... |
quantumcomputing/5db4e448_116578.txt | Imports from Qiskit from qiskit import QuantumCircuit from qiskit . circuit . library import grover_operator , MCMTGate , ZGate from qiskit . visualization import plot_distribution from qiskit . transpiler . preset_passmanagers import generate_preset_pass_manager |
quantumcomputing/8652_906acd2ff9117deb_86.txt | SE4H strongly emphasizes creating software systems that are ethical, user-friendly, and aligned with human values. This approach can significantly influence the development of Quantum Computing by shaping how quantum systems are designed, implemented, and deployed. Quantum computing has the potential to solve complex p... |
quantumcomputing/d5f129a4_116922.txt | C ( w , b ) 1 N y ( x ) a o u t ( x ) 2 𝐶 𝑤 𝑏 1 𝑁 norm 𝑦 𝑥 subscript 𝑎 𝑜 𝑢 𝑡 𝑥 2 C(w,b) frac 1 N frac y(x)-a _ out(x) 2 italic _C ( italic _w , italic _b ) divide start _ARG 1 end _ARG start _ARG italic _N end _ARG divide start _ARG italic _y ( italic _x ) - italic _a star... |
quantumcomputing/2299_711ee6ad93290ccf_22.txt | The Q-rMinRank\_Oracle \(\mathcal {O}\_1\) parallelizes the \(\textsf{MULT}\) and \(\textsf{ADD}\) gates, as shown in Algorithm 6. It is necessary to whether the linear combination of the values in the *i*-th column and quantum registers \({|{x\_i}\rangle }\) is zero for each row of the matrix to find a kernel of the ... |
quantumcomputing/22087_69ca229ec5299de3_802.txt | It is known that any complete nonnegatively curved metric on the plane is conformally equivalent to the Euclidean metric. In the first half of the talk I shall explain that the conformal factors that show up correspond precisely to smooth subharmonic functions of minimal growth. The proof is function-theoretic. This ch... |
quantumcomputing/3960_1525ece966560489_161.txt | As the flaws of market capitalism have become more widely accepted, progressives have used them to advance a counter-doctrine of anticorporate capitalism. For them, corporate capitalism is the source of climate disaster, racial and gender oppression, inequality, the breakdown of democracy, worker victimization, and eve... |
quantumcomputing/1629_a8a638dc956ff973_183.txt | Faber et al.526 introduced representations of atoms as a sum of multidimensional Gaussians in a given chemical compound for a Kernel-Ridge Regression (KRR) (a theoretical framework discussed in Section 3.2.8) based model to predict the electronic properties having learnt them from several datasets. By deriving analytic... |
quantumcomputing/13334_db9c0f2f4b6f960d_2516.txt | Rational structure in two dimension means that not only there exists an orthogonal net of curves in the plane but also, for each curve, the stellar density on one side of the curve is in constant ratio to the density on the other side of the curve. Such a curve is called a proportion curve or a Darwin curve. Such a dis... |
quantumcomputing/22108_db9c0f2f4b6f960d_1933.txt | Mobile crowdsensing can facilitate environmental surveys by leveraging sensor-equipped mobile devices that carry out measurements covering a wide area in a short time, without bearing the costs of traditional field work. In this paper, we examine statistical methods to perform an accurate estimate of the mean value of ... |
quantumcomputing/22087_db9c0f2f4b6f960d_194.txt | This paper challenges the quantum-focused search for a unified theory of fundamental interactions by exploring the potential unification of electric and gravitational forces within classical physics. Highlighting the similarities between Coulomb's law and Newton's law of universal gravitation, it suggests that signs of... |
quantumcomputing/4adcc5e7_14795.txt | We’ve been using the QuantumCircuit class to represent quantum programs, and the purpose of quantum programs is to run them on real devices and get results from them. When programming, we usually don’t worry about the device-specific details and instead use high-level operations. But most devices (and some simulators) ... |
quantumcomputing/17677_54afc39d362d45d0_3.txt | | Time | Label | Presentation Title Authors | | --- | --- | --- | | 11:00 CEST | FS1.1 | **BINARY RERAM-BASED BNN FIRST-LAYER IMPLEMENTATION** **Speaker**: Mona EZZADEEN, CEA-Leti, FR **Authors**: Mona Ezzadeen1, Atreya Majumdar1, Sigrid Thomas1, Jean-Philippe Noel1, Bastien Giraud1, Marc Bocquet2, Francois Andrieu1, D... |
quantumcomputing/b8a95702_10846.txt | The SLM tweezers can have arbitrary positions but are static. The AOD tweezers are mobile but have several constraints7,69. In particular, the AOD array creates rectangular grids (but not all sites need to be filled). During the atom-moving operations, they are only used for stretches, compressions and translations of ... |
quantumcomputing/1629_3abeac199875c936_195.txt | 2.2.4 What Are the Consequences? Summarising, detection appears as a jump-like, abrupt, irreversible (non-unitary), nonlinear and even non-causal transformation that seems to represent a break with quantum theory and its basic laws.34 It may even appear in contradiction with any physical explanation as such. This trans... |
quantumcomputing/32894_72cabeb6d560b66c_283.txt | Convolutional neural networks (CNNs) are typically computationally heavy. Fast algorithms such as fast Fourier transforms (FFTs), are promising in significantly reducing computation complexity by replacing convolutions with frequency-domain element-wise multiplication. However, the increased high memory access overhead... |
quantumcomputing/34011_a5801def072ec91c_858.txt | Any macroscopic object can become a black hole if sufficiently compressed. An object made of anti-matter can become a black hole, too. If you bang two rocks together fast enough, they will produce a black hole, and the black hole will begin pulling in nearby particles, including you the experimenter. Luckily even our b... |
quantumcomputing/34793_74dcaa7adf2cb6cc_64.txt | * The **Recursive Function Paradigm** studies computation in terms of *abstract functions* on *natural numbers* outside space and time. When interpreted as a mathematical fact, the \(+\) sign in \(10 + 101 = 111\) signifies the *mathematical function called addition* and the \(=\) sign specifies *equality*. * The **Sym... |
quantumcomputing/aa5365c7_121180.txt | displaystyle psi (x,t) frac 1 Z int _ mathbf x (0) x mathcal D mathbf x ,e iS mathbf x , dot mathbf x psi _ 0 ( mathbf x (t)) , |
quantumcomputing/34011_97a166cde10c3127_103.txt | **Publisher** **Description:** This work is written to provide a qualitative introduction, appropriate for a general science audience, to the application of pragmagnetic resonance to the determination of biomolecular dynamics. The work is also intended as a reference resource for those pursuing or contemplating researc... |
quantumcomputing/55bca97d_122257.txt | In interconnected quantum server environments, this interference pattern control becomes even more essential. As queries move across different nodes, maintaining signal coherence is vital. Grover's mechanism naturally suppresses cumulative noise through destructive interference, preserving clarity even as information i... |
quantumcomputing/32894_74845111e5423cd6_270.txt | Planetary rover development depends on simulation to evaluate autonomy, mobility, and system performance in environments that cannot be replicated on Earth. Simulation requirements span a wide spectrum, from reduced-order models for long-duration mission planning, to high-fidelity multi-body dynamics, terramechanics, a... |
quantumcomputing/33692_723fd0fbfe5d7a11_204.txt | Mathematical representations of graphs often resemble adjacency matrices or lists, representations that facilitate whiteboard reasoning and algorithm design. In the realm of proof assistants, inductive representations effectively define semantics for formal reasoning. This highlights a gap where algorithm design and pr... |
quantumcomputing/9684_67376b44df69bab4_132.txt | ``` >>> id_op = qml.Identity([0, 1]) >>> id_op.matrix() array([[1., 0., 0., 0.], [0., 1., 0., 0.], [0., 0., 1., 0.], [0., 0., 0., 1.]]) >>> id_op.sparse_matrix() ' with 4 stored elements in Compressed Sparse Row format> >>> id_op.eigvals() array([1., 1., 1., 1.]) ``` * Added `unitary_` keyword argument to the construct... |
quantumcomputing/22087_69ca229ec5299de3_646.txt | The hyperelliptic Torelli group SI(S) is the subgroup of the mapping class group of a surface S consisting of elements which commute with a fixed hyperelliptic involution and which act trivially on homology. The group SI(S) appears in a variety of settings, for example in the context of the period mapping on the Torell... |
quantumcomputing/8729_23e9aeec4fe3bb40_1020.txt | Quanta Magazine) There "exists" a landscape of predictive models, where different models are more predictive in different domains, or many models are equally predictive in the same domain. An example of such a collection of models is different models in physics, such as the mathematics of quantum mechanics and general ... |
quantumcomputing/9073_303b46c6a5f64744_6.txt | Foreword by Vaughn Vernon, Series Editor My signature series emphasizes organic growth and refinement, which I describe in more detail below. It only makes sense to start off by describing the organic communication that I experienced with the first author of this book, Professor Dr. Olaf Zimmermann. As I often refer to... |
quantumcomputing/4693_a7a3e3b621e221e1_66.txt | – Bohmian mechanics is in tension with relativity because, as the proponents of the theory admit explicitly, there’s a need for an absolute reference frame , so the usual Relativistic effects cannot be explained kinematically anymore in their theory. They need to go back to the pre- Einstein days of Larmor, Fitzgerald,... |
quantumcomputing/9769_b393da4e2e72ed8a_65.txt | Looking at Figure 4.26 too carefully will give you a headache! The takeaway from this diagram is that the number of branches grows exponentially with the number of qubits. In short, to simulate three qubits, a classical computer has to manage 23 different paths. That’s much more than what’s required to deal with a meas... |
quantumcomputing/20750_92440dc4f2998b42_24.txt | Background on Quantum Algorithms Quantum algorithms are the motivation for most research and investment in quantum computing. The entire fields of quan‐ tum error correction, quantum hardware, and quantum soft‐ ware development (including Qiskit) ultimately work toward the common goal of running a useful algorithm on a... |
quantumcomputing/1629_a8a638dc956ff973_68.txt | | | | | | --- | --- | --- | | image file: d2cs00203e-f15.tif | | | | | **Fig. 15** (a) Shows the main structure of quantum circuits estimating arbitrary periodic functions. There are two main modules. The first one contains Upre acting on the auxiliary qubits q′, and Hadamard gates acting on q′′. The succeeding mo... |
quantumcomputing/c4bec125_116629.txt | Where U (θ) e i θ V𝑈𝜃superscript𝑒𝑖𝜃𝑉U( theta) e -i theta V italic_U ( italic_θ ) italic_e start_POSTSUPERSCRIPT - italic_i italic_θ italic_V end_POSTSUPERSCRIPT to represent real-valued parameters, V𝑉Vitalic_V is a hermitian operator, and W𝑊Witalic_W be fixed unitaries such as entangled gates or CZ gates. Th... |
quantumcomputing/a954bcfb_1405.txt | In this subsection we present the quantum circuits of the three Amplitude Estimation subroutines “AmpEst_\({\phi _b}\),” “AmpEst_\({\phi _x}\)” and “AmpEst_\({\phi _r}\),” which are called by “QLSA_\(\mathbf {{main}}\)” to compute estimates of the angles \(\phi _b, \phi _x, \phi _{r0}\) and \(\phi _{r1}\) that are need... |
quantumcomputing/4628_98bc330e6ca89479_471.txt | Solutions to these two problems have made NMR a particularly attractive and insight¬ ful method for implementing quantum computation, despite stringent limitations which arise from the thermal nature of typical systems. Many lessons can be learned from NMR: for example, techniques for controlling realistic Hamiltonians... |
quantumcomputing/32894_979fc1e5faab2aa1_310.txt | Neural Combinatorial Optimization (NCO) is an emerging domain where deep learning techniques are employed to address combinatorial optimization problems as a standalone solver. Despite their potential, existing NCO methods often suffer from inefficient search space exploration, frequently leading to local optima entrap... |
quantumcomputing/9339_98bc330e6ca89479_51.txt | The key to the security of public key cryptosystems is that it should be difficult to invert the encryption stage if only the public key is available. For example, it turns out that inverting the encryption stage of RSA is a problem ly related to factoring. Much of the presumed security of RSA comes from the belief tha... |
quantumcomputing/9073_a8a638dc956ff973_163.txt | | | | | | --- | --- | --- | | image file: d2cs00203e-f28.tif | | | | | **Fig. 28** Classification of the metallic and insulating states of VO2 based on the quantum clustering algorithm. (a) Demonstrates the original data used for classification. All training instances are 2-d vectors (pressure and temperature), wh... |
quantumcomputing/9339_a38937c5090409ef_743.txt | (C 0 )(3/2) (k) = . (A3.1) C Without loss of generality we may suppose 0 has been chosen such that C 0 < 1, and therefore (k) gets small very fast as k increases. It will also be useful to note that, provided 0 is chosen small enough, (k)2 < (k + 1). The second step is to let U be any element of SU (2) and use the tran... |
quantumcomputing/175_40094682244c3a83_69.txt | The lack of accessibility to data on policing has severely limited researchers’ ability to conduct thorough quantitative analyses on police activity and behavior, particularly with regard to predicting and explaining police violence. In the present work, we provide a new dataset that contains information on the personn... |
quantumcomputing/33692_723fd0fbfe5d7a11_585.txt | ``` @inproceedings{supplementarity, author = {Perdrix, Simon and Wang, Quanlong}, title = {{Supplementarity is Necessary for Quantum Diagram Reasoning}}, year = {2016}, booktitle = {41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)}, series = {Leibniz International Proceedings in ... |
quantumcomputing/64ddff0b_123909.txt | Use cases: CZ is often used in algorithms that are symmetric in 0 1 (since a CNOT has an asymmetry in control vs target roles, but CZ is symmetric aside from which qubit is control). For example, some error correction circuits prefer CZ for certain syndrome measurements. In quantum simulations, CZ gates appear in phase... |
quantumcomputing/a1eb26f4_13032.txt | In this talk I will introduce some fundamental concepts in analytic number theory such as primes, the Riemann zeta function and the Möbius function. I will discuss classical results concerning them and connecting them to each other. Then I will move on to discussing the distribution of primes, almost primes and the Möb... |
quantumcomputing/32894_fc39bbe803b856a5_504.txt | Efficient adversarial attack methods are critical for assessing the robustness of computer vision models. In this paper, we reconstruct the optimization objective for generating adversarial examples as ''maximizing the difference between the non-true labels' probability upper bound and the true label's probability,'' a... |
quantumcomputing/6245_808db5389f8f8e1e_145.txt | BOB: This scheme is a nice example of secure quantum communication since I need to have both qubits to decode the information Alice is sending me. As we saw before, if someone were eavesdropping and tried to intercept Alice’s “modified” qubit, the scheme would not work because they would have to measure the qubit to ge... |
quantumcomputing/22087_4268de2ba98204ef_564.txt | Most matter in the Universe is invisible and unknown, which is called dark matter. A candidate of dark matter is axion, which is an ultra-light particle motivated as a solution for the CP problem. Axions form clouds in a galactic halo, amplify, and delay a part of gravitational waves propagating in the clouds. The Milk... |
quantumcomputing/22087_69ca229ec5299de3_1284.txt | We consider the extremal counting problem which asks what d-regular, r-uniform hypergraph on n vertices has the largest number of (strong) independent sets. Our goal is to generalize known results for number of matchings and independent sets in regular graphs to give a general bound in the hypergraph case. In particula... |
quantumcomputing/36da086c_120886.txt | How much energy an electron has determines how far it is way from the proton (or more accurately, how far out the electron cloud extends). Electrons bound to the nucleus cannot have just any value of energy. The electron can only occupy certain orbital |
quantumcomputing/13334_db9c0f2f4b6f960d_3029.txt | It is shown how Quantum Gravity in D = 3 can be described by a W\_inifnity Matrix Model in D = 1 that can be solved exactly via the Collective Field Theory method. A quantization of 4D Gravity can be attained via a 2D Quantum W\_inifnity gauge theory coupled to an infinite-component scalar-multiplet ; i.e. the quantiza... |
quantumcomputing/9904_340504b9f389f966_67.txt | In the scientific of unconventional transport properties of oxides (spin-dependent transport, superconductivity etc.), the spin-state degree of freedom plays a fundamental role. Because of this, temperature- or magnetic field-induced spin-state transitions are in the focus of solid-state physics. Cobaltites, e.g. LaCo... |
quantumcomputing/4628_add6c66665defb95_87.txt | In one embodiment, a power processor which operates in three modes: an inverter mode wherein power is delivered from a battery to an AC power grid or load; a battery charger mode wherein the battery is charged by a generator; and a parallel mode wherein the generator supplies power to the AC power grid or load in paral... |
quantumcomputing/565dce62_0217.txt | This aspect of validity concerns external factors that may influence the variables being investigated. Several factors could potentially threaten the integrity of the data. The data ingestion from GitHub is a challenge, as proprietary quantum programs that are not publicly available might be missing from the analysis. ... |
quantumcomputing/22108_db9c0f2f4b6f960d_291.txt | It is explicitly shown how the Schwarzschild Black Hole Entropy (in all dimensions) emerges from truly point mass sources at r = 0 due to a non-vanishing scalar curvature involving the Dirac delta distribution. It is the density and anisotropic pressure components associated with the point mass delta function source at... |
quantumcomputing/20712_5e5e2b00d7458daa_17.txt | | | | | --- | --- | | **-ussy** | Yes, it means what you think it does. | | **Académie de la Carpette anglaise** | A French organisation that "rewards" people who are doormats for the English language. | | **Antiqua–Fraktur dispute** | A dispute over which typeface was more "German". At first, the Nazis were for Frak... |
quantumcomputing/21985_b745cf4a986576b6_372.txt | Quantum dimer magnets represent a textbook example of quantum magnetism, where nearest-neighbor spins entangle to form spin singlets (dimers). The excitations of the quantum dimer magnet are a triplet of Stot = 1 states, referred to as triplons. An applied magnetic field causes the lowest energy triplet state (Sz = 1) ... |
quantumcomputing/22087_db9c0f2f4b6f960d_1047.txt | Software Defined Networking (SDN) is a concept in the area of computer networks in which the control plane and data plane of traditional computer networks are separated as opposed to the mechanism in conventional routers and switches. SDN aims to provide a central control mechanism in the network through a controller k... |
quantumcomputing/3960_0678c516274774e4_709.txt | So, Langan? I have said that I thought he had pole position. I think that is pretty much irrelevant now. Academia, in general, has taken to demanding that work be done only from the failing perspective, never to reach the succeeding perspective. Langan, amongst so many others, have realized the futility of that demand,... |
quantumcomputing/24212_8f631342375c1193_463.txt | Following its inception in the mid-19th century, our understanding of thermodynamic entropy has undergone many revisions, most notably through the development of microscopic s by Boltzmann and Gibbs, which led to a deep understanding of equilibrium thermodynamics. The role of entropy has since moved beyond the traditio... |
quantumcomputing/52494f87_119602.txt | Finally, let's look at two critical domains for cybersecurity where the CNOT gate plays a starring role: quantum cryptography (in particular QKD and related protocols) and quantum error correction, which is vital for building stable quantum computers that can run algorithms to break cryptography. |
quantumcomputing/22087_db9c0f2f4b6f960d_111.txt | This document presents a comprehensive study of fractal partitioning and its application to subconvexity generalizations across various mathematical contexts. By utilizing a combination of advanced equations andinequalities, the paper develops robust models for partitioning sets into subsets of varying sizes, measuring... |
quantumcomputing/1875_2133873ef2897b08_5.txt | Parameters: : * **oracle** (`qibo.core.circuit.Circuit`) – quantum circuit that flips the sign using a Grover ancilla initialized with -X-H-. Grover ancilla expected to be last qubit of oracle circuit. * **superposition\_circuit** (`qibo.core.circuit.Circuit`) – quantum circuit that takes an initial state to a superp... |
quantumcomputing/14994_cdd61dafb85483f2_78.txt | The intent of quantum computers is to be a different tool to solve different problems, not to replace classical computers. Quantum computers are great for solving optimization problems from figuring out the best way to schedule flights at an airport to determining the best delivery routes for the FedEx truck. There are... |
quantumcomputing/076cfce9_119008.txt | Table 4 shows a comparison of the performances and design costs of QCA-based Fredkin gates. The proposed IQFRG showed excellent results in most performance metrics but energy dissipation. The proposed circuit is slightly larger in energy dissipation than the circuit in , however, since this indicator has a trade-off re... |
quantumcomputing/3960_1525ece966560489_108.txt | As such, the U.S. (and Western) systems and China’s are fundamentally different. (see Table 1). Most Western nations’ comparative advantage is based on market forces. If the United States loses an industry, such as telecom equipment, it’s because we no longer have natural comparative advantage and have moved on to othe... |
quantumcomputing/32894_e26caa74eb27f4da_5.txt | Gaussian Process Factor Analysis (GPFA) is a powerful latent variable model for extracting low-dimensional manifolds underlying population neural activities. However, one limitation of standard GPFA models is that the number of latent factors needs to be pre-specified or selected through heuristic-based processes, and ... |
quantumcomputing/20712_f21f706356b21da2_83.txt | We consider scenarios where a very accurate (often small) predictive model using restricted features is available when training a full-featured (often larger) model. This restricted model may be thought of as ``side-information'', and can come either from an auxiliary dataset or from the same dataset by forcing the res... |
quantumcomputing/175_40094682244c3a83_2123.txt | Bayesian Neural Networks and deep ensembles represent two modern paradigms of uncertainty quantification in deep learning. Yet these approaches struggle to scale mainly due to memory inefficiency, requiring parameter storage several times that of their deterministic counterparts. To address this, we augment each weight... |
quantumcomputing/610f17c8_117520.txt | Assume that we have two gates A and B that both act on n displaystyle n qubits. When B is put after A in a series circuit, then the effect of the two gates can be described as a single gate C. |
quantumcomputing/8652_85faab3e53b9cd93_49.txt | Recent years have seen considerable work on compiling sparse tensor algebra expressions. This paper addresses a shortcoming in that work, namely how to generate efficient code (in time and space) that scatters values into a sparse result tensor. We address this shortcoming through a compiler design that generates code ... |
quantumcomputing/2565_01bbb6e319e5fd22_203.txt | A group .G; ?/ is a set G satisfying the following properties: Closure: There exists a function ? W G G ! G; which we call the binary operation of G. Associativity: For any triplet x; y; z of elements of G, .x ? y/ ? z D x ? .y ? z/ Identity: There exists an element e 2 G, called the identity element of G, such... |
quantumcomputing/b613d175_124376.txt | The cases x a 0 1 2 and n 0 are excluded because the convergent p 0 q 0 a 0 1 is not a best approximation of the second kind of x a 0 1 2 : it is 1 x a 0 1 a 0 1 2 a 0 1 1 2 and 1 x a 0 a 0 1 2 a 0 1 2 , which implies 1 x a 0 1 1 x a 0 . Setting d : 1 q 0 , c : ... |
quantumcomputing/63f4df9b_8259.txt | A comparison of the models of a QNNQG𝑄𝑁subscript𝑁𝑄𝐺QNN_{QG}italic_Q italic_N italic_N start_POSTSUBSCRIPT italic_Q italic_G end_POSTSUBSCRIPT and RQNNQG𝑅𝑄𝑁subscript𝑁𝑄𝐺RQNN_{QG}italic_R italic_Q italic_N italic_N start_POSTSUBSCRIPT italic_Q italic_G end_POSTSUBSCRIPT for an (r−1)𝑟1(r-1)( italic_r - 1... |
quantumcomputing/8729_6b5eb0c4e42e043c_316.txt | You can talk about this in terms of the scale factor of the uni- verse. Let's measure the time t since the beginning of the universe in the rest frame of the cosmic background radiation (the usual trick). How "big" is the universe as a function of t? Or to put it more care- fully, given two test points, how has the dis... |
quantumcomputing/24212_b745cf4a986576b6_259.txt | The neutron electric dipole moment (EDM) is being extensively studied worldwide with the goal of improving its precision. At TRIUMF, the EDM precision goal is $10^{-27}$ e-cm, which is an order of magnitude more precise than the previous best measurement. The experiment will use a new high-intensity ultracold neutron (... |
quantumcomputing/9339_a38937c5090409ef_536.txt | √ √ |+ ≡ (|0 + |1)/ 2, |− ≡ (|0 − |1)/ 2. With respect to this basis the operator Z takes |+ to |− and vice versa, that is, it acts just like a bit flip with respect to the labels + and −! This suggests using the states |0L ≡ | + ++ and |1L ≡ | − −− as logical zero and one states for protection against pha... |
quantumcomputing/32894_1a8f0330de3b41ea_296.txt | Large Language Models (LLMs) demonstrate strong capabilities in video understanding. However, it exhibits hallucinations and factual errors in video . On the one hand, existing Multimodal Large Language Models (MLLMs) are primarily trained by combining language models and vision models, with their visual understanding ... |
quantumcomputing/22108_c2c01ebb412339b8_89.txt | 7 apples + 3 oranges It makes no sense to say that this adds up to 10: it remains forever as 7 apples and 3 oranges. The equation for the quantum state of a qubit is a similar addition. The benefit, though, of writing it as an “addition” of the idealized quantum states (the apples and oranges) is to get a better handle... |
quantumcomputing/22087_69ca229ec5299de3_633.txt | Singular value decomposition is a widely used tool for dimension reduction in multivariate analysis. However, when used for statistical estimation in high-dimensional low rank matrix models, singular vectors of the noise-corrupted matrix are inconsistent for their counterparts of the true mean matrix. In this talk, we ... |
quantumcomputing/14816_baea7bc0d09df8ad_385.txt | To Huston Smith, world religion expert and devotee, matter is not fundamental, but consciousness is. “Matter is like an iceberg protruding out of the sea of consciousness.” Consciousness can never be destroyed, he said, but “can oscillate between different forms,” which leads, he recognizes, to the issue of death. “We ... |
quantumcomputing/32894_1a8f0330de3b41ea_553.txt | Ensuring the safety of high-speed agent in dynamic adversarial environments, such as pursuit-evasion games with target-purchase and obstacle-avoidance, is a significant challenge. Existing reinforcement learning methods often fail to balance safety and reward under strict safety constraints and diverse environmental co... |
quantumcomputing/17677_ecf384143be764f0_148.txt | 164 Evolution and Applications of Quantum Computing functional aspects, performance and security aspects of the project. The requirements also generate perspectives from the users or a test group or an admin point of view. The goal of software requirement specification is to enlighten groups of individuals about the w... |
quantumcomputing/22108_db9c0f2f4b6f960d_2500.txt | Most matter in nature and technology is composed of crystals and crystal grains. A full understanding of the inherent symmetry is vital. A new interactive software tool is demonstrated, that visualizes 3D space group symmetries. The software computes with Clifford (geometric) algebra. The space group visualizer (SGV) i... |
quantumcomputing/03ee78b7_12157.txt | Philosopher David Chalmers famously characterized the core conundrum of explaining consciousness—accounting for “qualia,” our qualitatively rendered interior experience of motion-picture-like perception and cognitive awareness—by memorializing the pithy, potent phrase, “the hard problem.” This is where most contemporar... |
quantumcomputing/38735_f1880b42bbb2ebdf_53.txt | This is nice, our circuit seems to work correctly. So let us proceed and try this on real hardware. Before we do so, however, let us simplify our circuit a bit to reduce the number of gates needed and thus the noise level. First, we skip the final swap gates in the QFT circuit – this will change our expected output fro... |
quantumcomputing/27984_889bcb3d28cecf3a_266.txt | In conjunction with the Universities Space Research Association and Google, Inc. NASA Ames has acquired a quantum computing device built by DWAVE Systems with approximately 512 âqubits.â Quantum computers have the feature that their capabilities to find solutions to problems with large numbers of variables scale li... |
quantumcomputing/24628d56_8301.txt | Fourthly, the Critical Social Justice view sees people who occupy positions of systemic power and privilege and yet who refuse to acknowledge and work to dismantle them, to the full satisfaction of the Critical Social Justice Theorists, to be utterly morally reprehensible. They are racists. They are misogynists. They h... |
quantumcomputing/22087_e1ef1f358f6bc321_206.txt | We introduce some combinatorial objects called staircase tableaux, which have cardinality 4(n)n!, and connect them to both the asymmetric exclusion process (ASEP) and Askey-Wilson polynomials. The ASEP is a model from statistical mechanics introduced in the late 1960s, which describes a system of interacting particles ... |
quantumcomputing/d1640794_117880.txt | Steering Board Antonio Acín Anne Broadbent Harry Buhrman Daniel Burgarth Guido Burkard Jens Eisert Steven Flammia Cassandra Granade Aram Harrow Khabat Heshami Chris Heunen Stacey Jeffery Shelby Kimmel Matthew Leifer Debbie Leung Chaoyang Lu Chiara Macchiavello Milan Mosonyi Ahsan Nazir Román Orús Joseph M. Renes Ana Ma... |
quantumcomputing/0ff92ac4_0733.txt | class qibo.gates.fSim(q0, q1, theta, phi, trainable=True)[source]# The fSim gate defined in arXiv:2001.08343. Corresponds to the following unitary matrix \[\begin{split}\begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & \cos \theta & -i\sin \theta & 0 \\ 0 & -i\sin \theta & \cos \theta & 0 \\ 0 & 0 & 0 & e^{-i \phi } \\ \end{pmatrix... |
quantumcomputing/bf051864_9365.txt | Different methods have been developed to protect the information represented by \(\alpha \) and \(\beta \) in Eq. (3.77) and to undo the effect of noise on a single spin-1/2 system representing the qubit (Terhal, 2015; Lidar & Brun, 2013). The basic idea is to delocalise the information over several physical systems, o... |
quantumcomputing/b62deb6c_123833.txt | Use cases: CCZ gates appear in scenarios where a conditional phase based on two qubits is needed. A notable application is in certain quantum oracles and amplitude amplification routines. For instance, Grover s search algorithm uses an oracle that marks the correct solution state by flipping its phase. If the solutio... |
quantumcomputing/26329_e6eb321e4e9c903b_232.txt | rable, because we can distinguish the components along different axes. In the case of QVTS, the space is related with the vocal primitives, and it is separable as well, as we will see in the next section. A quantum state, that is a unit-length vector in the state space, can be seen as a superposition of values with som... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.