Results 31 to 40 of about 6,488,304 (373)
Quantum algorithm for linear systems of equations. [PDF]
Physical Review Letters, 2008 Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b(-->), find a vector x(-->) such that Ax(-->) = b(-->).
A. Harrow, A. Hassidim, S. Lloyd
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Quantum Algorithm for Fidelity Estimation [PDF]
IEEE Transactions on Information Theory, 2021 For two unknown mixed quantum states $\rho $ and $\sigma $ in an $N$ -dimensional Hilbert space, computing their fidelity $F(\rho,\sigma)$ is a basic problem with many important applications in quantum computing and quantum information, for ...
Qisheng Wang +6 more
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Quantum Chaos and Quantum Algorithms [PDF]
Physical Review A, 2001 It was recently shown (quant-ph/9909074) that parasitic random interactions between the qubits in a quantum computer can induce quantum chaos and put into question the operability of a quantum computer. In this work I investigate whether already the interactions between the qubits introduced with the intention to operate the quantum computer may lead ...
Daniel Braun
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A quantum–quantum Metropolis algorithm [PDF]
Proceedings of the National Academy of Sciences, 2012 The classical Metropolis sampling method is a cornerstone of many statistical modeling applications that range from physics, chemistry, and biology to economics. This method is particularly suitable for sampling the thermal distributions of classical systems. The challenge of extending this method to the simulation of arbitrary quantum systems is that,
Yung, Man-Hong, Aspuru-Guzik, Alan
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Quantum entanglement and quantum computational algorithms [PDF]
Pramana, 2001 9-pages latex, lecture given at the International Winter Institute on Foundations of Quantum Theory and Quantum Optics, SNBNCBS, Calcutta ...
Arvind Arvind
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Quantum algorithm for Feynman loop integrals [PDF]
Journal of High Energy Physics, 2021 We present a novel benchmark application of a quantum algorithm to Feynman loop integrals. The two on-shell states of a Feynman propagator are identified with the two states of a qubit and a quantum algorithm is used to unfold the causal singular ...
S. Ramírez-Uribe +4 more
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Quantum algorithms revisited [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1998 18 pages, LaTeX, 7 figures. Submitted to Proc. Roy. Soc.
R. CLEVE +3 more
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Quantum Algorithm for Time-Dependent Hamiltonian Simulation by Permutation Expansion [PDF]
PRX Quantum, 2021 We present a quantum algorithm for the dynamical simulation of time-dependent Hamiltonians. Our method involves expanding the interaction-picture Hamiltonian as a sum of generalized permutations, which leads to an integral-free Dyson series of the time ...
Yi-Hsiang Chen, A. Kalev, I. Hen
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Quantum geometry and quantum algorithms [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 Submitted to J. Phys. A: Math-Gen, for the special issue ``The Quantum Universe'' in honor of G.
Garnerone Silvano +2 more
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Variational quantum algorithm for the Poisson equation [PDF]
Physical Review A, 2020 The Poisson equation has wide applications in many areas of science and engineering. Although there are some quantum algorithms that can efficiently solve the Poisson equation, they generally require a fault-tolerant quantum computer which is beyond the ...
Hailing Liu +6 more
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