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Title: Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Abstract

In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum thermodynamics. In this Letter, we introduce well-defined notions of guessed quantum heat and guessed quantum work, by exploiting the one-time measurement scheme, which only requires an initial energy measurement on the system alone. We derive a modified quantum Jarzynski equality and the principle of maximum work with respect to the guessed quantum work, which requires the knowledge of the system only. We further show the significance of guessed quantum heat and work by linking them to the problem of quantum hypothesis testing.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1825433
Report Number(s):
LA-UR-19-32640
Journal ID: ISSN 0031-9007; TRN: US2215810
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 125; Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Mathematics; quantum; Jarzynski; equality; thermodynamics; heat; work; Fluctuation theorems; Nonequilibrium & irreversible thermodynamics; Nonequilibrium statistical mechanics; Quantum correlations in quantum information; Quantum thermodynamics; Work theorems

Citation Formats

Sone, Akira, Liu, Yi-Xiang, and Cappellaro, Paola. Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme. United States: N. p., 2020. Web. doi:10.1103/physrevlett.125.060602.
Sone, Akira, Liu, Yi-Xiang, & Cappellaro, Paola. Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme. United States. https://doi.org/10.1103/physrevlett.125.060602
Sone, Akira, Liu, Yi-Xiang, and Cappellaro, Paola. Fri . "Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme". United States. https://doi.org/10.1103/physrevlett.125.060602. https://www.osti.gov/servlets/purl/1825433.
@article{osti_1825433,
title = {Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme},
author = {Sone, Akira and Liu, Yi-Xiang and Cappellaro, Paola},
abstractNote = {In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum thermodynamics. In this Letter, we introduce well-defined notions of guessed quantum heat and guessed quantum work, by exploiting the one-time measurement scheme, which only requires an initial energy measurement on the system alone. We derive a modified quantum Jarzynski equality and the principle of maximum work with respect to the guessed quantum work, which requires the knowledge of the system only. We further show the significance of guessed quantum heat and work by linking them to the problem of quantum hypothesis testing.},
doi = {10.1103/physrevlett.125.060602},
journal = {Physical Review Letters},
number = 6,
volume = 125,
place = {United States},
year = {Fri Aug 07 00:00:00 EDT 2020},
month = {Fri Aug 07 00:00:00 EDT 2020}
}

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