Zobrazeno 1 - 10
of 2 329
pro vyhledávání: '"BERRY, A. W."'
Autor:
Morales, Mauro E. S., Pira, Lirandë, Schleich, Philipp, Koor, Kelvin, Costa, Pedro C. S., An, Dong, Lin, Lin, Rebentrost, Patrick, Berry, Dominic W.
Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve these systems motivates investigating the feasibility of solving linear
Externí odkaz:
http://arxiv.org/abs/2411.02522
Autor:
Berry, Dominic W., Tong, Yu, Khattar, Tanuj, White, Alec, Kim, Tae In, Boixo, Sergio, Lin, Lin, Lee, Seunghoon, Chan, Garnet Kin-Lic, Babbush, Ryan, Rubin, Nicholas C.
Studies on quantum algorithms for ground state energy estimation often assume perfect ground state preparation; however, in reality the initial state will have imperfect overlap with the true ground state. Here we address that problem in two ways: by
Externí odkaz:
http://arxiv.org/abs/2409.11748
Autor:
Bagherimehrab, Mohsen, Berry, Dominic W., Schleich, Philipp, Aldossary, Abdulrahman, Angulo, Jorge A. Campos Gonzalez, Aspuru-Guzik, Alan
Hamiltonian simulation using product formulas is arguably the most straightforward and practical approach for algorithmic simulation of a quantum system's dynamics on a quantum computer. Here we present corrected product formulas (CPFs), a variation
Externí odkaz:
http://arxiv.org/abs/2409.08265
We show that certain Graph Laplacian linear sets of equations exhibit optimal accuracy, guaranteeing that the relative error is no larger than the norm of the relative residual and that optimality occurs for carefully chosen right-hand sides. Such se
Externí odkaz:
http://arxiv.org/abs/2405.07877
Publikováno v:
Physical Review A 110, 012612 (2024)
Quantum signal processing provides an optimal procedure for simulating Hamiltonian evolution on a quantum computer using calls to a block encoding of the Hamiltonian. In many situations it is possible to control between forward and reverse steps with
Externí odkaz:
http://arxiv.org/abs/2401.10321
The solution of large systems of nonlinear differential equations is needed for many applications in science and engineering. In this study, we present three main improvements to existing quantum algorithms based on the Carleman linearisation techniq
Externí odkaz:
http://arxiv.org/abs/2312.09518
Autor:
Berry, Dominic W., Rubin, Nicholas C., Elnabawy, Ahmed O., Ahlers, Gabriele, DePrince III, A. Eugene, Lee, Joonho, Gogolin, Christian, Babbush, Ryan
This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure, developed by Babbush et al. and Su et al. We describe the first quantum algorithm for first quantized
Externí odkaz:
http://arxiv.org/abs/2312.07654
Autor:
Rubin, Nicholas C., Berry, Dominic W., Kononov, Alina, Malone, Fionn D., Khattar, Tanuj, White, Alec, Lee, Joonho, Neven, Hartmut, Babbush, Ryan, Baczewski, Andrew D.
Publikováno v:
Proceedings of the National Academy of Sciences Volume 121, Issue 23, 2024
Stopping power is the rate at which a material absorbs the kinetic energy of a charged particle passing through it -- one of many properties needed over a wide range of thermodynamic conditions in modeling inertial fusion implosions. First-principles
Externí odkaz:
http://arxiv.org/abs/2308.12352
Phase estimation is used in many quantum algorithms, particularly in order to estimate energy eigenvalues for quantum systems. When using a single qubit as the probe (used to control the unitary we wish to estimate the eigenvalue of), it is not possi
Externí odkaz:
http://arxiv.org/abs/2303.12503
Publikováno v:
Phys. Rev. X 13, 041041 (2023)
We present a quantum algorithm for simulating the classical dynamics of $2^n$ coupled oscillators (e.g., $2^n$ masses coupled by springs). Our approach leverages a mapping between the Schr\"odinger equation and Newton's equation for harmonic potentia
Externí odkaz:
http://arxiv.org/abs/2303.13012