Quantum fluctuation theorem for error diagnostics in quantum annealers

Gardas, Bartłomiej; Deffner, Sebastian

doi:10.1038/s41598-018-35264-z

Title: Quantum fluctuation theorem for error diagnostics in quantum annealers

Journal Article · 20 November 2018 · Scientific Reports

DOI: https://doi.org/10.1038/s41598-018-35264-z · OSTI ID:1524396

^[1]; Deffner, Sebastian ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland); Instytut Fizyki Uniwersytetu Jagiellońskiego, Kraków (Poland)
Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States)

Near term quantum hardware promises unprecedented computational advantage. Crucial in its development is the characterization and minimization of computational errors. We introduce the use of the quantum fluctuation theorem to benchmark the accuracy of quantum annealers. This versatile tool provides simple means to determine whether the quantum dynamics are unital, unitary, and adiabatic, or whether the system is prone to thermal noise. Our proposal is experimentally tested on two generations of the D-Wave machine, which illustrates the sensitivity of the fluctuation theorem to the smallest aberrations from ideal annealing. In addition, for the optimally operating D-Wave machine, our experiment provides the first experimental verification of the integral fluctuation in an interacting, many-body quantum system.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: National Science Foundaton (NSF); USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1524396

Report Number(s):: LA-UR--18-20422

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 8; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Second Law of Thermodynamics with Discrete Quantum Feedback Control Sagawa, Takahiro; Ueda, Masahito arXiv https://doi.org/10.48550/arxiv.0710.0956	text	January 2007
Stochastic thermodynamics: Principles and perspectives Seifert, Udo arXiv https://doi.org/10.48550/arxiv.0710.1187	text	January 2007
Generalized Jarzynski Equality under Nonequilibrium Feedback Control Sagawa, Takahiro; Ueda, Masahito arXiv https://doi.org/10.48550/arxiv.0907.4914	text	January 2009
Quantum Adiabatic Markovian Master Equations Albash, Tameem; Boixo, Sergio; Lidar, Daniel A. arXiv https://doi.org/10.48550/arxiv.1206.4197	text	January 2012
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Fluctuation theorems for quantum processes Albash, Tameem; Lidar, Daniel A.; Marvian, Milad arXiv https://doi.org/10.48550/arxiv.1212.6589	text	January 2012
Non-equilibrium equalities with unital quantum channels Rastegin, Alexey E. arXiv https://doi.org/10.48550/arxiv.1301.0855	text	January 2013
Consistency Tests of Classical and Quantum Models for a Quantum Annealer Albash, Tameem; Vinci, Walter; Mishra, Anurag arXiv https://doi.org/10.48550/arxiv.1403.4228	text	January 2014
Non-equilibrium quantum fluctuations of work Allahverdyan, A. E. arXiv https://doi.org/10.48550/arxiv.1404.4190	text	January 2014
Work measurement as a generalized quantum measurement Roncaglia, Augusto J.; Cerisola, Federico; Paz, Juan Pablo arXiv https://doi.org/10.48550/arxiv.1409.3812	text	January 2014
Thermodynamic universality of quantum Carnot engines Gardas, Bartłomiej; Deffner, Sebastian arXiv https://doi.org/10.48550/arxiv.1503.03455	text	January 2015
Quantum work and the thermodynamic cost of quantum measurements Deffner, Sebastian; Paz, Juan Pablo; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.1603.06509	text	January 2016
Quantum Supremacy for Simulating A Translation-Invariant Ising Spin Model Gao, Xun; Wang, Sheng-Tao; Duan, Lu-Ming arXiv https://doi.org/10.48550/arxiv.1607.04947	text	January 2016
Characterizing Quantum Supremacy in Near-Term Devices Boixo, Sergio; Isakov, Sergei V.; Smelyanskiy, Vadim N. arXiv https://doi.org/10.48550/arxiv.1608.00263	text	January 2016
Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise Chenu, Aurélia; Beau, Mathieu; Cao, Jianshu arXiv https://doi.org/10.48550/arxiv.1608.01317	text	January 2016
Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence Smith, Andrew; Lu, Yao; An, Shuoming arXiv https://doi.org/10.48550/arxiv.1708.01495	text	January 2017
Dynamics of a Quantum Phase Transition Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter arXiv https://doi.org/10.48550/arxiv.cond-mat/0503511	text	January 2005
Dynamics of quantum phase transition: exact solution in quantum Ising model Dziarmaga, Jacek arXiv https://doi.org/10.48550/arxiv.cond-mat/0509490	text	January 2005
Fluctuation theorems: Work is not an observable Talkner, Peter; Lutz, Eric; Hanggi, Peter arXiv https://doi.org/10.48550/arxiv.cond-mat/0703189	text	January 2007
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Title: Quantum fluctuation theorem for error diagnostics in quantum annealers

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