Quantum work and the thermodynamic cost of quantum measurements
Abstract
Quantum work is usually determined from two projective measurements of the energy at the beginning and at the end of a thermodynamic process. However, this paradigm cannot be considered thermodynamically consistent as it does not account for the thermodynamic cost of these measurements. To remedy this conceptual inconsistency we introduce a paradigm that relies only on the expected change of the average energy given the initial energy eigenbasis. In particular, we completely omit quantum measurements in the definition of quantum work, and hence quantum work is identified as a thermodynamic quantity of only the system. As main results we derive a modified quantum Jarzynski equality and a sharpened maximum work theorem in terms of the information free energy. Lastly, a comparison of our results with the standard approach allows one to quantify the informational cost of projective measurements.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Ciudad Univ. Pabellon, Buenos Aires (Argentina)
 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:
 1338795
 Alternate Identifier(s):
 OSTI ID: 1260862
 Report Number(s):
 LAUR1621506
Journal ID: ISSN 24700045; PLEEE8; TRN: US1701795
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review E
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 1; Journal ID: ISSN 24700045
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; atomic and nuclear physics
Citation Formats
Deffner, Sebastian, Paz, Juan Pablo, and Zurek, Wojciech H. Quantum work and the thermodynamic cost of quantum measurements. United States: N. p., 2016.
Web. doi:10.1103/PhysRevE.94.010103.
Deffner, Sebastian, Paz, Juan Pablo, & Zurek, Wojciech H. Quantum work and the thermodynamic cost of quantum measurements. United States. doi:10.1103/PhysRevE.94.010103.
Deffner, Sebastian, Paz, Juan Pablo, and Zurek, Wojciech H. Thu .
"Quantum work and the thermodynamic cost of quantum measurements". United States. doi:10.1103/PhysRevE.94.010103. https://www.osti.gov/servlets/purl/1338795.
@article{osti_1338795,
title = {Quantum work and the thermodynamic cost of quantum measurements},
author = {Deffner, Sebastian and Paz, Juan Pablo and Zurek, Wojciech H.},
abstractNote = {Quantum work is usually determined from two projective measurements of the energy at the beginning and at the end of a thermodynamic process. However, this paradigm cannot be considered thermodynamically consistent as it does not account for the thermodynamic cost of these measurements. To remedy this conceptual inconsistency we introduce a paradigm that relies only on the expected change of the average energy given the initial energy eigenbasis. In particular, we completely omit quantum measurements in the definition of quantum work, and hence quantum work is identified as a thermodynamic quantity of only the system. As main results we derive a modified quantum Jarzynski equality and a sharpened maximum work theorem in terms of the information free energy. Lastly, a comparison of our results with the standard approach allows one to quantify the informational cost of projective measurements.},
doi = {10.1103/PhysRevE.94.010103},
journal = {Physical Review E},
number = 1,
volume = 94,
place = {United States},
year = {2016},
month = {7}
}
Web of Science
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