The Power of Adiabatic Quantum Computation with No Sign Problem-Reference-Cited by-同舟云学术

The Power of Adiabatic Quantum Computation with No Sign Problem

Published:2021-12-06 Issue: Volume:5 Page:597
ISSN:2521-327X
Container-title:Quantum
language:en
Short-container-title:Quantum

Author:

Hastings Matthew B.¹²

Affiliation:

1. Station Q, Microsoft Research, Santa Barbara, CA 93106-6105, USA

2. Microsoft Quantum and Microsoft Research, Redmond, WA 98052, USA

Abstract

We show a superpolynomial oracle separation between the power of adiabatic quantum computation with no sign problem and the power of classical computation.

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics

Link

https://quantum-journal.org/papers/q-2021-12-06-597/pdf/

Reference21 articles.

1. Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Joshua Lapan, Andrew Lundgren, and Daniel Preda. A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem. Science, 292(5516):472–475, 2001. doi:10.1126/science.1057726.

2. Boris Altshuler, Hari Krovi, and Jeremie Roland. Adiabatic quantum optimization fails for random instances of np-complete problems. arXiv preprint arXiv:0908.2782, 2009.

3. Boris Altshuler, Hari Krovi, and Jérémie Roland. Anderson localization makes adiabatic quantum optimization fail. Proceedings of the National Academy of Sciences, 107(28):12446–12450, 2010. doi:10.1073/pnas.1002116107.

4. Sergey Knysh and Vadim Smelyanskiy. On the relevance of avoided crossings away from quantum critical point to the complexity of quantum adiabatic algorithm. arXiv preprint arXiv:1005.3011, 2010.

5. M. B. Hastings. A short path quantum algorithm for exact optimization. Quantum, 2:78, jul 2018. doi:10.22331/q-2018-07-26-78.

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. How to experimentally evaluate the adiabatic condition for quantum annealing;Scientific Reports;2024-04-08

2. Guest Column: The 7 faces of quantum NP;ACM SIGACT News;2023-12-29

3. Why adiabatic quantum annealing is unlikely to yield speed-up;Journal of Physics A: Mathematical and Theoretical;2023-10-27

4. Universal Quantum Optimization with Cold Atoms in an Optical Cavity;Physical Review Letters;2023-09-05

5. Diabatic quantum and classical annealing of the Sherrington-Kirkpatrick model;Physical Review A;2023-06-01