Quantum work and the thermodynamic cost of quantum measurements

Deffner, Sebastian; Paz, Juan Pablo; Zurek, Wojciech H.

doi:10.1103/PhysRevE.94.010103

Title: Quantum work and the thermodynamic cost of quantum measurements

Journal Article · Thu Jul 07 00:00:00 EDT 2016 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.94.010103· OSTI ID:1338795

Deffner, Sebastian ^[1]; Paz, Juan Pablo ^[2]; Zurek, Wojciech H. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Ciudad Univ. Pabellon, Buenos Aires (Argentina)

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.

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

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1338795

Alternate ID(s):: OSTI ID: 1260862

Report Number(s):: LA-UR-16-21506; PLEEE8; TRN: US1701795

Journal Information:: Physical Review E, Vol. 94, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 61 works

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