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quantumcomputing/14994_cdd61dafb85483f2_94.txt | A bit (short for binary digit) is the smallest unit of data in a computer. A bit has a single binary value, either 0 or 1. All calculations are done using these two values (0 and1) and all calculations are done sequentially one after another. In quantum computing there is qubit having value of 1 or 0 or both or all va... |
quantumcomputing/da918611_8968.txt | The data that support the findings of this study are available from the corresponding author on request. |
quantumcomputing/21985_287971b0e2e2e18d_39.txt | ``` M. A. Sadiq and J. H. Merkin Travelling waves in an open cubic autocatalytic system . . . . . . . . . . 213--233 H. Taseli An alternative series solution to the isotropic quartic oscillator in $N$ dimensions . . . . . . . . . . . . . . . 235--245 Ramon Carbó-Dorca and Emili Besalú Extending molecular similari... |
quantumcomputing/22087_69ca229ec5299de3_475.txt | I will present two related 30-minute talks. Title 1: Generalized Online Matching with Concave Utilities Abstract 1: In this talk we consider a search engine's ad matching problem with soft budget. In this problem, there are two sides. One side is ad slots and the other is advertisers. Currently advertisers are modeled ... |
quantumcomputing/e95072cc_116644.txt | To find a parameterization for a PQC encoded problem by some U (θ)𝑈𝜃U( theta)italic_U ( italic_θ ) fromII.1 requires parameters to be sampled from an underlying probability distribution within U (N)𝑈𝑁U(N)italic_U ( italic_N ). Though matrix entries themselves are random variables, we can generalize a measure of uni... |
quantumcomputing/22087_db9c0f2f4b6f960d_2912.txt | As it is well known, the Riemann hypothesis on the zeros of the ζ(s) function has been assumed to be true in various basic developments of the 20-th century mathematics, although it has never been proved to be correct. The need for a resolution of this open historical problem has been voiced by several distinguished ma... |
quantumcomputing/16776_2ed71ddce2e7681a_58.txt | Later, Ranzato’s MCRBM model (2010) Bengio et al. (2013 Representation learning: a review and new perspectives. IEEE Trans Pattern Anal Mach Intell 35(8):1798–1828")), Dickstein’s non-equilibrium diffusion model (2015) Sohl-Dickstein et al. (2015 Deep unsupervised learning using nonequilibrium thermodynamics. In: Inter... |
quantumcomputing/2270_2ed2d1df17fe28a3_186.txt | – Since convex sets naturally have a dimension, we can ask whether the collection of possible states in a finite region must be finite-dimensional. At least it should be possible to approximate the state-space as finite-dimensional, if we hope for a computable physics? (Quantum Field Theory seems to violate strict fini... |
quantumcomputing/16785_8ecc1c53b3b42b31_28.txt | Given that qubits can take on any one of infinitely many states, one might hope that a single qubit could store lots of classical information. However, the properties of quantum measurement severely restrict the amount of information that can be extracted from a qubit. Information about a quantum bit can be obtained on... |
quantumcomputing/20750_708291c4f743195c_23.txt | localhost:~$ echo "So let us press on, undaunted and unafraid, in the face of the great unknown. Let us embrace the words of Carl Sagan, who reminded us that 'somewhere, something incredible is waiting to be known.' And let us never forget that in this grand odyssey of the mind, we are not mere spectators, but active p... |
quantumcomputing/a7ee3363_6613.txt | Shuichi Hirahara Nobutaka Shimizu Given an efficient algorithm that correctly computes a tiny fraction of the entries of the matrix multiplication of a small fraction of two matrices, can one design an efficient algorithm that computes matrix multiplication exactly for all the matrices? In this paper, we present such “... |
quantumcomputing/1e54d9f6_1552.txt | While expected to provide promising solutions for classically intractable problems, quantum computing (QC) remains challenging for wide adoption across different domains because users need profound technical and physical knowledge to use quantum computers. To facilitate research and development of usable QC interfaces,... |
quantumcomputing/22108_db9c0f2f4b6f960d_2868.txt | Our obtaining the analytical equations for the gravitation of a particular type of mathematical annulus, which we called a 'Special Gravitating Annulus' (SGA), greatly facilitates studying its orbital properties by computer programming. This includes isomorphism, periodic and chaotic polar orbits, and orbits in three d... |
quantumcomputing/14816_184d3f0af3fe5585_248.txt | One easy-to-understand example of the power of logistics is the daily route planning used by delivery company UPS. They rather famously train their drivers, and design their routes, to almost always avoid turning left. This is not some kind of political statement, but rather the result of the long waits that drivers of... |
quantumcomputing/20750_ad4744a1e1e1b7e8_85.txt | In Python, a vector is an array. Thus, the state of a qubit is the array [alpha, beta]. alpha and beta are numerical variables. The quantum state is an array of two numbers. But an array of two numbers is a much more complex datatype than a boolean value is. A boolean is either True or False. You can transform boolean ... |
quantumcomputing/ec5c4f0d_121157.txt | Quantum tunnelling can be modeled by using the path integral formation to determine the action of the trajectory through a potential barrier. Using the WKB approximation, the tunneling rate (Γ) can be determined to be of the form |
quantumcomputing/2258_a8a638dc956ff973_208.txt | | | | | | --- | --- | --- | | image file: d2cs00203e-f35.tif | | | | | **Fig. 35** A comparison of expressibility of quantum circuit tensor networks (qMPS, qMERA), standard tensor networks (dMPS and dMERA), and global quantum circuits (QC). The expressibility (or variational power) is measured by seeing the relati... |
quantumcomputing/1226_3fc4c296cc68989d_382.txt | 9.2.2. Production of graphene transparent conductive films. Different strategies can be used to prepare GTCFs: spraying,1787 dip1788 and spin coating,688 vacuum filtration,1789 R2R processing.7 Different methods to reduce GO703 have been investigated to further decrease Rs, down to 800 Ω □−1 for Tr = 82%.1790Ref. 622 r... |
quantumcomputing/4628_578753610752009e_161.txt | |ψ(t) = cos ωt |0 + sin ωt |1 . (6.70) (a) Verify that this state is a solution to the Schrödinger equation. (b) We use this qubit as a simple clock. Suppose the value of the time t is equally likely to be anything between t = 0 and t = T, so that Pr(t T/2) = 1/2. At this unknown time, we measure the qubit clock us... |
quantumcomputing/32894_649ed5de679e7c0d_26.txt | set, and sometimes an additional holdout set. Partitioning the data into training, validation, and holdout sets is done either randomly according to predetermined proportions or by specifying which records go into which partition according to some relevant variable (e.g., in time series forecasting, the data are partit... |
quantumcomputing/a757e736_11785.txt | ABSTRACT Several limitations have become evident in classical computer. One of these limitations is factorizing a large 187 22 884KB Read more |
quantumcomputing/10115_f987ec9455323c9d_282.txt | > I believe that ML is a new way to build software, and I know that many Swift developers want to incorporate AI features in their apps. The ML ecosystem has matured a lot, with thousands of models that solve a wide variety of problems. Moreover, LLMs have recently emerged as almost general-purpose tools – they can be ... |
quantumcomputing/14994_bb89c4acbf2bb616_138.txt | and adopt a broader non-classical perspective on computation.90 Here, computation is regarded as the entire process of receiving input from the environment, manipulating it, and applying the output to the environment–all fundamental, necessary, and inseparable steps of information processing (see Sections 4.4 and 4.5).... |
quantumcomputing/1629_3abeac199875c936_415.txt | where use has been made of the property that Pˆoa ,a = Iˆ for any complete set of oa orthogonal projectors. We note that the result for ℘ (ob |b) given by the last equality in Eq. (3.188) is indeed independent of the setting a of apparatus A. The same conclusion applies to ℘ (oa |a) if we start the proof by considering... |
quantumcomputing/22087_4268de2ba98204ef_503.txt | For the past two hundred years, parametric instabilities have been studied in various physical systems, such as fluids, mechanical devices and even inflationary cosmology. It was not until a few decades ago that this subharmonic unstable response arose as a central mechanism for the thermalisation of the Early Universe... |
quantumcomputing/32894_1a8f0330de3b41ea_127.txt | In recent years, weakly supervised object detection (WSOD) has attracted much attention due to its low labeling cost. The success of recent WSOD models is often ascribed to the two-stage multi-class classification (MCC) task, i.e., multiple instance learning and online classification refinement. Despite achieving non-t... |
quantumcomputing/17418_c2c01ebb412339b8_106.txt | Can the Quantum Gate Matrix Be Anything? Armed with Universal Quantum Gates, on page 158, and knowing that the A matrix has the entire “genetic code” of a quantum gate, you might be tempted to think that its elements can be arbitrarily set. But like the amplitudes on the state vector, the A matrix is similarly restrict... |
quantumcomputing/17677_54afc39d362d45d0_43.txt | | Time | Label | Presentation Title Authors | | --- | --- | --- | | 08:30 CEST | BPA8.1 | **PRADA: POINT CLOUD RECOGNITION ACCELERATION VIA DYNAMIC APPROXIMATION** **Speaker**: Zhuoran Song, Shanghai Jiao Tong University, CN **Authors**: Zhuoran Song, Heng Lu, Gang Li, Li Jiang, Naifeng Jing and Xiaoyao Liang, Shanghai... |
quantumcomputing/58c8d218_1504.txt | Tensor networks are the graphic representation of tensors in Einstein notation such that a rank-n tensor is represented by a box with n indices projecting out of it. The connections between tensors signify the set of indices of tensors which are contracted. Hence the final rank of a tensor network is determined by the ... |
quantumcomputing/17894_d2459b6037275255_43.txt | To perform correlated decoding, we solve the problem of finding the most likely error given the measured syndrome. We start by constructing a decoding hypergraph based on a of the logical algorithm, which describes how each physical error mechanism (for example, a Pauli-error channel after a two-qubit gate) propagates... |
quantumcomputing/175_40094682244c3a83_1136.txt | Numerical simulations of Earth's weather and climate require substantial amounts of computation. This has led to a growing interest in replacing subroutines that explicitly compute physical processes with approximate machine learning (ML) methods that are fast at inference time. Within weather and climate models, atmos... |
quantumcomputing/34011_80ceca0747858829_151.txt | Water was gathered from Lake Pearl, Wrentham, Massachusetts. The water was split into six samples–five experimental and one control. Each sample was purified using a different method, and the samples were tested for the concentration levels of many chemical contaminants using test strips. Biological containment data wa... |
quantumcomputing/dc9f6a28_14086.txt | The imports of dependencies introduced by labs functionalities have been modified such that these dependencies only have to be installed for the functions that use them, not to use labs functionalities in general. This decouples the various submodules, and even functions within the same submodule, from each other. (#76... |
quantumcomputing/38735_4268de2ba98204ef_573.txt | Entanglement is assuming a central role in modern quantum many-body physics. Yet, for lattice gauge theories its certification remains extremely challenging. A key difficulty stems from the local gauge constraints underlying the gauge theory, which separate the full Hilbert space into a direct sum of subspaces characte... |
quantumcomputing/175_40094682244c3a83_1219.txt | Evaluating the inherent difficulty of a given data-driven classification problem is important for establishing absolute benchmarks and evaluating progress in the field. To this end, a natural quantity to consider is the \emph{Bayes error}, which measures the optimal classification error theoretically achievable for a g... |
quantumcomputing/beabf59a_123881.txt | Summary: CCZ is less frequently seen than Toffoli in simple algorithm textbooks, because classically it doesn't compute a new bit (so it's not useful for reversible logic on its own). However, quantum mechanically it is just as powerful for creating complex entanglement and interference conditions. It joins the ranks o... |
quantumcomputing/27984_a6019ccf7080d97d_0.txt | How are brains organized, how does brain organization support its multitude of functions, and what guiding general principles can be gleaned from small, invertebrate brains? I will discuss these questions for a microscopic nematode worm called *C. elegans*, the only animal to date for which multiple complete connectome... |
quantumcomputing/1e16c44f_118963.txt | The Fredkin gate is employed by many reversible logic circuits. The Fredkin gate is a 3 3 universal gate, and any logical reversible circuit can be implemented by using it (Maslov, Dueck, Miller, 2005). The Fredkin gate is named a self-inverse one, which means that when two identical Fredkin gates are cascaded, the... |
quantumcomputing/22087_69ca229ec5299de3_1073.txt | In the 1980’s Furuta and Fintushel-Stern applied the theory of instantons and Chern-Simons invariants to develop a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. In turn, using the fact that the 2-fold cover of S^3 branched... |
quantumcomputing/22087_4268de2ba98204ef_168.txt | Dark matter (DM) nature is one of the major issues in physics. Motivated by the known proposal of an ultra-light scalar field dark matter (ULDM) as a DM candidate, we explore the possibility to search for this candidate at the upcoming European Spallation Source neutrino Super-Beam (ESSnuSB) experiment. We have conside... |
quantumcomputing/17894_a8a638dc956ff973_173.txt | Let us now focus on unsupervised approaches to classification briefly. The learning process is denoted as unsupervised when the given training instances are not assigned with the desired labels. Due to the absence of supervision, the unsupervised learning can hardly be applied to distinguish various types of chemicals ... |
quantumcomputing/8337_01340d24a5dea1fa_436.txt | * Presenter: Jean-Jacques Greffet, Laboratoire Charles Fabry, Institut d'Optique, CNRS * Location: JILA Auditorium * Host: Markus Raschke * Abstract: When reducing the size of systems down to the nanoscale, usual macroscopic laws are often no longer valid. In this talk, we will show that blackbody radiation is dramatic... |
quantumcomputing/32894_c65187f488c01dde_140.txt | Intelligent biological systems are characterized by their embodiment in a complex environment and the intimate interplay between their nervous systems and the nonlinear mechanical properties of their bodies. This coordination, in which the dynamics of the motor system co-evolved to reduce the computational burden on th... |
quantumcomputing/22087_db9c0f2f4b6f960d_2603.txt | In this article, we analyze some unspecific detalis which are significant in certain experiment related to Casimir effect. At the "point of st approach", as the Casimir force equals the Coulombic force, we can calculate the the static energy density. Also, identical phenomena occurs in the cosmological H and HeI Rydber... |
quantumcomputing/32894_c244c61d974ad5a8_237.txt | Abstract-The stock market is a dynamic environment influenced by numerous factors, making the prediction of stock prices a challenging yet critical task. Traditional methods often fall short due to the complex and volatile nature of financial markets. This project focuses on developing a machine learning-based web appl... |
quantumcomputing/e6da8b68_122002.txt | For example, in a classical search through a phone book, you would check each entry one by one. In Grover's algorithm, the quantum oracle marks the correct entry, and the algorithm amplifies this marked entry so that it's more likely to be found in fewer steps. |
quantumcomputing/34793_c0b3a683de3beb91_113.txt | It is certainly true that our conscious awareness appears to be largely coherent and consistent but that says nothing about the other functions of the brain which are implicit and appear to make up 80-90% of brain functions. For example, recognition of a concept e.g. a blue colour, a blue book, depends on implicit perc... |
quantumcomputing/22087_db9c0f2f4b6f960d_431.txt | The Silies has been investigated as a possible al-- the DNA double helix - sometimes doubles up again. Researchers have now found this quadruple-stranded form in healthy human cells for the first time. Speculate that the quadruplex structure forms to hold the molecule open and facilitate the reading of the genetic code... |
quantumcomputing/33692_723fd0fbfe5d7a11_79.txt | Quantum computing is currently strongly limited by the impact of noise, in particular introduced by the application of two-qubit gates. For this reason, reducing the number of two-qubit gates is of paramount importance on noisy intermediate-scale quantum hardware. To advance towards more reliable quantum computing, we ... |
quantumcomputing/11b1566d_10439.txt | As a college freshman, Shabana Basij-Rasikh co-founded SOLA, which would become the only boarding school for girls in Afghanistan. In 2021, days after the fall of Kabul to the Taliban, she led the dramatic evacuation of the school from Afghanistan to Rwanda, where it operates as the only boarding school for Afghan girl... |
quantumcomputing/20712_2ed2d1df17fe28a3_130.txt | Philippe Grangier #82, you likely won’t see this, but if you do I’m curious whether your taking of contextuality to be fundamentally non-classical, in the paper you link to, is something you absolutely won’t give up? I take contextuality, noncommutativity, and incompatibility of probability measures to be a natural ext... |
quantumcomputing/d213bfa3_12938.txt | Irrespective of the relative implementability of the quantum and classical experiments, the skeptical reader might be asking, more fundamentally: Why should we be interested in these analogies at all? For most (non-Everettian) quantum theorists, the thought experiments we present here are metaphysically very different ... |
quantumcomputing/32894_c65187f488c01dde_1262.txt | Shape-based virtual screening is widely used in ligand-based drug design to search chemical libraries for molecules with similar 3D shapes yet novel 2D graph structures compared to known ligands. 3D deep generative models can potentially automate this exploration of shape-conditioned 3D chemical space; however, no exis... |
quantumcomputing/9769_2ed2d1df17fe28a3_42.txt | There *is* a loophole, but I’d say it’s so extreme as to prove the rule. Namely, one can’t rule out that someone used, e.g., a giant Game of Life board to create a “Matrix” that’s running our entire quantum-mechanical universe as a computer simulation! To me, though, this just seems like an instance of a more general p... |
quantumcomputing/14816_5f2deb247b7d4485_351.txt | while the qubit on the signal line is affected by the value of the control qubit: if the control qubit is a logical |0> then the signal qubit passes through unaffected; if the control qubit is a logical |1>, then the signal qubit is “flipped” such that |0> becomes |1> or |1> becomes |0>. These actions are shown in the ... |
quantumcomputing/d9f162d2_117859.txt | 66 Joschka Roffe, Lawrence Z. Cohen, Armanda O. Quintavalle, Daryus Chandra, and Earl T. Campbell, Bias-tailored quantum LDPC codes'' (2022) Publisher: arXiv Version Number: 2. https: doi.org 10.48550 ARXIV.2202.01702 https: arxiv.org abs 2202.01702 |
quantumcomputing/13334_db9c0f2f4b6f960d_1016.txt | Nature is structural instead of random, correlation is just approximation of causality, and data is not science: the more we reveal the more we revere nature on our voyage of unprecedented discovery. We argue that the soul(s) or exotic soul(s) of quotient Hypercomplex arbifold multiscale Spacetime (HyperSpacetime)'s co... |
quantumcomputing/cb86875f_11915.txt | The Month of… December 2020 M T W T F S S 123456 78910111213 14151617181920 21222324252627 28293031 |
quantumcomputing/22087_db9c0f2f4b6f960d_490.txt | Credit risk stands for the risk of losses caused by unwanted events, such as the default of an obligor. The managing of portfolio credit risks is crucial for financial institutions. The multi-factor Merton model is one of the most widely used tools that modelling the credit risks for financial institutions. Typically, ... |
quantumcomputing/29980_224976a547f6decb_36.txt | 1. The challenges the investigator is aiming to study need either to have significant scientific merit or industrial relevance or to address a fundamental chemistry question. 2. An explanation for why these quantities cannot be obtained using classical methods needs to be provided. 3. A compilation is involved of the p... |
quantumcomputing/e81050b7_12490.txt | Data-driven societal event forecasting methods exploit relevant historical information to predict future events. These methods rely on historical labeled data and cannot accurately predict events when data are limited or of poor quality. Studying causal effects between events goes beyond correlation analysis and can co... |
quantumcomputing/35883_a8a638dc956ff973_25.txt | Examples of problems in a supervised learning procedure include classification, where the labels yi are discrete, and regression, where the labels yi are continuous and extrapolation to unknown cases is sought. Some of the techniques used exclusively for problems in this domain include, a support vector machine, kernel... |
quantumcomputing/c2d9e00c_5253.txt | Your desktop computer likely uses a fan to get cold enough to work. Quantum processors need to be very cold—about a hundredth of a degree above absolute zero—to minimize noise and avoid decoherence in order to retain their quantum states. This ultralow temperature is achieved with supercooled superfluids. At these temp... |
quantumcomputing/ab4480e5_2135.txt | Yes. If you commit certain violations of federal security regulations, such as assault, threat, intimidation, or interference with flight crew, physical or sexual assault or threat of physical or sexual assault of any individual on an aircraft, interference with security operations, access control violations, providing... |
quantumcomputing/32894_1a8f0330de3b41ea_350.txt | Traditional unsupervised domain adaptation (UDA) struggles to extract rich semantics due to backbone limitations. Recent large-scale pre-trained visual-language models (VLMs) have shown strong zero-shot learning capabilities in UDA tasks. However, directly using VLMs results in a mixture of semantic and domain-specific... |
quantumcomputing/6b2a1ed8_13912.txt | A Near-Minimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics Renaud Vilmart Show abstract ⇲ Show bibdata ⇲ 2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) Keywords: ZX-calculus, Completeness, Universal Fragment, Minimality. Recent developments in the ZX-Calculus have resulted in... |
quantumcomputing/8729_23e9aeec4fe3bb40_585.txt | Every thing corresponds to some (quasi)stable mathematical model analyzable and predictable by all sorts of mathematics encoding physical systems evolving in (relativistic) (quantum) spacetime using stochastic dynamical systems theory using machinery from classical+statistical+relativistic+quantum mechanics, from parti... |
quantumcomputing/22108_db9c0f2f4b6f960d_510.txt | We begin with a review of the basics of the Yang algebra of noncommutative phase spaces and Born Reciprocal Relativity. A solution is provided for the exact analytical mapping of the non-commuting $ x^mu, p^mu$ operator variables (associated to an $8D$ curved phase space) to the canonical $ Y^A, Pi^A$ operator variable... |
quantumcomputing/22108_db9c0f2f4b6f960d_1189.txt | The theory consists of: I. a clear formulation of the turbulence problem by 1. definition of a fluid continuum, 2. definition of a turbulent fluid continuum, 3. derivation, that Navier-Stokes-like equations cannot describe a turbulent fluid continuum II. solution of the turbulence problem by establishing the link betwe... |
quantumcomputing/9339_622391702acffd65_194.txt | 21.2 The synchronous counter The synchronous counter circuit can be constructed using any types of flip-flops. In QCA technology, synchronous counters have been implemented based on the J-Ktype flip-flop (JK-FF) and T-type flip-flop (T-FF). However, to date there has been no implementation of synchronous counters using the D... |
quantumcomputing/11871_f5b0288e0ea8c1ae_256.txt | [FOW 09] F OWLER A., S TEPHENS A., G ROSZKOWSKI P., “High threshold universal quantum computation on the surface code”, Physical Review A, vol. 80, Art. no. 052312, 2009. [FOW 10] F OWLER A.G., WANG D.S., H ILL C.D., et al., “Surface code quantum communication”, Physical Review Letters, vol. 104, no. 18, Art. no. 18050... |
quantumcomputing/24212_723fd0fbfe5d7a11_85.txt | In this thesis, we study concepts in quantum computing using graphical languages, specifically using the ZX-calculus. The core of the research revolves around (graphical) stabilizer decompositions. The first major focus is on the decomposition of non-stabilizer states created from star edges. We discuss previous result... |
quantumcomputing/3960_0678c516274774e4_726.txt | Does causal dynamical triangulation’s model of sub-Planck scale space-time microstructure explain how the model was composed itself? One is a theory, the other is a meta-theory (theory about how theories operate, i.e. sensation (qualio-perceptual syntax), reason (logico-mathematical syntax), path-dependence (space-time... |
quantumcomputing/22087_cfa6e6481b8cd2bd_63.txt | The theory of Mean Field Games studies the asymptotic behaviour of differential games (mainly in terms of their Nash equilibria) as the number of players tends to infinity. In these games, the players are rational and indistinguishable: each player aims at choosing its trajectory so to minimize a cost which depends on ... |
quantumcomputing/9339_98bc330e6ca89479_229.txt | It’s not enough to consider unrestricted families of circuits, however. In practice, we need an algorithm to build the circuit. Indeed, if we don’t place any restrictions on the circuit family then it becomes possible to compute all sorts of functions which we do not expect to be able to compute in a reasonable model o... |
quantumcomputing/22087_69ca229ec5299de3_1223.txt | One of the major tools in the study of periodic solutions of Hamiltonian systems is the Maslov-type index theory for symplectic matrix paths. In this lecture, I shall give first a brief introduction on the Maslov-type index theory for symplectic matrix paths as well as the iteration theory of this index. As an applicat... |
quantumcomputing/1de2ca6e_4903.txt | (coherent alignment of early TRL-2 → TRL-4 steps with the full KM3NeT ↔ NKX ↔ GOLEM-Q5 roadmap) |
quantumcomputing/20952_d79c655cd937197c_0.txt | To assist in conceptualizing the necessary hardware components for an analog or gate-based quantum computer, the hardware can be modeled in four abstract layers: the “quantum data plane,” where the qubits reside; the “control and measurement plane,” responsible for carrying out operations and measurements on the qubits... |
quantumcomputing/693ab29d_119148.txt | If the Hermitian (so H H 1 H displaystyle H dagger H -1 H ) Hadamard gate is used to perform a change of basis , it flips x displaystyle hat x and z displaystyle hat z . For example, H Z H X displaystyle HZH X and H X H Z S . displaystyle H sqrt X ;H sqrt Z S. |
quantumcomputing/22087_69ca229ec5299de3_2288.txt | We show how to obtain a decomposition of an arbitrary d, smooth, orientable 4-manifold from a loop of Morse functions on a surface or as a loop in the pants complex. A nice feature of all of these decompositions is that they can be encoded on a surface so that, in principle, 4-manifold topology can be reduced to surfac... |
quantumcomputing/34011_a5801def072ec91c_1409.txt | What is the probability that it would land heads, if tossed? One possible answer would be that the probability is \(\frac{1}{2}\), possibilities, and we have no evidence which one is going to be realized. Another answer would say that the probability is either 0, if the coin is two-tailed, or 1, if two-headed, but we d... |
quantumcomputing/32894_74845111e5423cd6_347.txt | Ajithkumar Narayanan Manaparampil (German Aerospace Center - DLR), Anne Köpken (German Aerospace Center), Luisa Mayershofer (German Aerospace Center - DLR), Nesrine Batti (DLR - Deutsches Zentrum für Luft- und Raumfahrt), Xuwei Wu (German Aerospace Center (DLR e.V.)), Harsimran Singh (German Aerospace Center - DLR), Mi... |
quantumcomputing/1629_ffec68556b99fa4a_114.txt | Female patients with a sex chromosome abnormality may be fertile. In patients with a 47,XXX cell line there appears to be an increased risk of a cytogenetically abnormal child but the extent of this risk cannot yet be determined; it is probably lower in the non-mosaic 47,XXX patient than the mosaic 46,XX/47,XXX one. Pa... |
quantumcomputing/9474cdf3_7616.txt | PennyLane and Lightning will no longer ship wheels for Intel MacOS platforms for v0.44 and newer. Additionally, MacOS ARM wheels will require a minimum OS version of 14.0 for continued use with v0.44 and newer. This change is needed to account for MacOS officially deprecating support for Intel CPUs in the OS (see their... |
quantumcomputing/1226_184d3f0af3fe5585_84.txt | Speeding the Race for Solar Cells (1890s) Solar cells were invented in the 1800s, with the first patents granted in the 1890s. As with many similar advances, the inventors did their work without a solid understanding of the theory that lay behind it. It was Einstein’s paper describing the photoelectric effect as a prod... |
quantumcomputing/abfcc1ee_121210.txt | displaystyle langle x _ f e - frac i hbar hat H (t-t _ 1 ) F _ 1 ( hat x )e - frac i hbar hat H (t _ 1 -t _ 2 ) F _ 2 ( hat x )e - frac i hbar hat H (t _ 2 ) x _ i rangle int _ x(0) x _ i x(t) x _ f mathcal D x F _ 1 (x(t _ 1 ))F _ 2 (x(t _ 2 ))e frac i hbar ... |
quantumcomputing/13334_67f8b1e0a14f9fbd_100.txt | I mentioned above that a certain kind of h function is similar to a complexity measure on the values V(n). In fact, it’s a pretty natural generalization of K(v) to ask not for the size of the smallest program that can \*ever\* compute v, but the smallest one that can do it in a certain time. And then this h(n) function... |
quantumcomputing/14994_ebeb95a89c78f21f_138.txt | There are also public, open-source NTRU libraries. There is an entire NTRU open-source project on GitHub (https://github.com/NTRUOpenSourceProject). You can also find open-source Java implementations of NTRU on GitHub (https://github.com/tbuktu/ntru). The Cipher EX V1.5 project for .NET includes NTRU libraries (https:/... |
quantumcomputing/2ccc0438_115201.txt | f o u t g f h f h 1 f i n subscript 𝑓 𝑜 𝑢 𝑡 𝑔 subscript 𝑓 ℎ subscript 𝑓 ℎ 1 subscript 𝑓 𝑖 𝑛 f _ out g circ f _ h circ f _ h-1 dots circ f _ in italic _f start _POSTSUBSCRIPT italic _o italic _u italic _t end _POSTSUBSCRIPT italic _g italic _f start _POSTSUBSCRIPT italic _h end _P... |
quantumcomputing/a67d7c41_120756.txt | Therefore, we have demonstrated that the volume of the entropic tetrahedron assigned to a four-qubit state is zero if and only if the state is biseparable, demonstrating that F 4 satisfies the genuine requirement. |
quantumcomputing/13334_db9c0f2f4b6f960d_2478.txt | In a preliminary assessment, we begin to apply Santilli's iso-mathematics to triplex numbers, Euclidean triplex space, triplex fractals, and Inopin's 2-sphere holographic ring (HR) topology. In doing so, we successfully identify and define iso-triplex numbers for iso-fractal geometry in a Euclidean iso-triplex space th... |
quantumcomputing/32894_74845111e5423cd6_132.txt | The Solar Sail Racing Championship (SRC) is a university-focused, competition-style constellation of large CubeSats that race from the geosynchronous graveyard orbit to Mars using only solar-sail propulsion. Conceived as a recurring, prize-driven event, SRC transforms each spacecraft into an application-based classroom... |
quantumcomputing/13334_db9c0f2f4b6f960d_1965.txt | Inthis paper, random dynamic systems theory is applied to time series ($\Delta t=5$ minutes) of measurement of water level, $W$, temperature, $T$, and barometric pressure, $P$, in sea dikes. The time series were obtained from DDSC and are part of DMC systems dike maintenance program of the Ommelanderzeedijk in northern... |
quantumcomputing/22087_dc81a22ac6ea9da6_152.txt | Given his work’s vintage, Lewis restricted his attention to static game theory, in which agents are modeled as deliberately *choosing* strategies given exogenously fixed utility-functions. As a result of this restriction, his account invited some philosophers to pursue a misguided quest for a general analytic theory of... |
quantumcomputing/9684_67376b44df69bab4_39.txt | * Two new methods, `setup_execution_config` and `preprocess_transforms`, have been added to the `Device` class. Device developers are encouraged to override these two methods separately instead of the `preprocess` method. For now, to avoid ambiguity, a device is allowed to override either these two methods or `preproce... |
quantumcomputing/15280_ca3752daa9705eee_163.txt | The Inner Product as a Refinement of the Dot Product We have discussed how to determine the square of the norm, or the square of a the length, of such a vector : we compute b 2 p a2 C b 2 (11.42) Naturally, this is how we define the norm of the complex number a C bi so that it corresponds to the square of the len... |
quantumcomputing/32894_c65187f488c01dde_327.txt | Graph Neural Networks (GNNs) have achieved state-of-the-art results on a variety of graph learning tasks, however, it has been demonstrated that they are vulnerable to adversarial attacks, raising serious security concerns. A lot of studies have been developed to train GNNs in a noisy environment and increase their rob... |
quantumcomputing/34011_224976a547f6decb_30.txt | These challenges are not unique to computational chemistry codes, and the computational science community is continually developing tools (e.g., container technology such as Docker, Singularity, and others; see Docker n.d.) to improve the experience of using code across operating systems and environments. While these t... |
quantumcomputing/32894_c65187f488c01dde_1059.txt | Recent symbolic music generative models have achieved significant improvements in the quality of the generated samples. Nevertheless, it remains hard for users to control the output in such a way that it matches their expectation. To address this limitation, high-level, human-interpretable conditioning is essential. In... |
quantumcomputing/18150_747474a2b9a780fd_35.txt | If Alice were transmitting conventional digital data, the spy would simply make a copy of the bit, accomplishing their mission. With qubits, that’s not possible. Recall that there is no COPY operation, so the only thing the spy can do is READ the qubit Alice sent, and then try to carefully send one just like it to Bob ... |
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