Quantum versus classical annealing of Ising spin glasses

Science
Bettina HeimMatthias Troyer

Abstract

Quantum annealers use quantum fluctuations to escape local minima and find low-energy configurations of a physical system. Strong evidence for superiority of quantum annealing (QA) has come from comparing QA implemented through quantum Monte Carlo (QMC) simulations to classical annealing. Motivated by recent experiments, we revisit the question of when quantum speedup may be expected. Although a better scaling is seen for QA in two-dimensional Ising spin glasses, this advantage is due to time discretization artifacts and measurements that are not possible on a physical quantum annealer. Simulations in the physically relevant continuous time limit, on the other hand, do not show superiority. Our results imply that care must be taken when using QMC simulations to assess the potential for quantum speedup.

References

Apr 30, 1999·Science·J BrookeG Aeppli
May 5, 1999·Neural Computation·N N Schraudolph
Mar 30, 2002·Science·Giuseppe E SantoroRoberto Car
May 13, 1983·Science·S KirkpatrickM P Vecchi
May 13, 2011·Nature·M W JohnsonG Rose
Jul 26, 2014·Science·Troels F RønnowMatthias Troyer

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Citations

Mar 5, 2016·Scientific Reports·Nicholas ChancellorPaul A Warburton
Nov 18, 2015·Journal of Chemical Theory and Computation·Masashi Tsuchimoto, Yoshitaka Tanimura
Aug 6, 2016·Nature Communications·Sergey Knysh
Feb 25, 2017·Physical Review Letters·Vadim N SmelyanskiyMark I Dykman
Jan 20, 2018·Physical Review. E·Tameem AlbashItay Hen
Nov 8, 2016·Science Advances·Andrea RocchettoYing Li
Sep 28, 2016·Scientific Reports·Yudong CaoSabre Kais
Dec 20, 2015·Physical Review Letters·Damian S SteigerMatthias Troyer
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sudip MukherjeeBikas K Chakrabarti
Jun 18, 2017·Physical Review. E·Shanon J RubinAnders W Sandvik
Sep 28, 2017·Physical Review. E·Wenlong WangHelmut G Katzgraber
Oct 9, 2019·Scientific Reports·Andriyan Bayu Suksmono, Yuichiro Minato
Mar 24, 2020·Physical Review Letters·Phillip WeinbergAnders W Sandvik
Nov 12, 2016·Physical Review Letters·Sergei V IsakovMatthias Troyer
Feb 1, 2018·Proceedings of the National Academy of Sciences of the United States of America·Carlo Baldassi, Riccardo Zecchina
Dec 24, 2019·Physical Review Letters·Erik AurellRoberto Mulet
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E M Inack, S Pilati
Mar 15, 2020·Physical Review. E·Dilina PereraHelmut G Katzgraber
Feb 22, 2018·Entropy·Andriyan Bayu Suksmono

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