Quantum work and the thermodynamic cost of quantum measurements

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 th...

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Autores principales: Deffner, S., Paz, J.P., Zurek, W.H.
Formato: JOUR
Materias:
Costs
Free energy
Average energy
Initial energy
Jarzynski equality
Maximum works
Projective measurement
Quantum measurement
Thermodynamic process
Thermodynamic quantities
Thermodynamics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Deffner
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_24700045_v94_n1_p_Deffner
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spelling todo:paper_24700045_v94_n1_p_Deffner2023-10-03T16:42:17Z Quantum work and the thermodynamic cost of quantum measurements Deffner, S. Paz, J.P. Zurek, W.H. Costs Free energy Average energy Initial energy Jarzynski equality Maximum works Projective measurement Quantum measurement Thermodynamic process Thermodynamic quantities Thermodynamics 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. A comparison of our results with the standard approach allows one to quantify the informational cost of projective measurements. © 2016 American Physical Society. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Deffner
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Costs
Free energy
Average energy
Initial energy
Jarzynski equality
Maximum works
Projective measurement
Quantum measurement
Thermodynamic process
Thermodynamic quantities
Thermodynamics
spellingShingle Costs
Free energy
Average energy
Initial energy
Jarzynski equality
Maximum works
Projective measurement
Quantum measurement
Thermodynamic process
Thermodynamic quantities
Thermodynamics
Deffner, S.
Paz, J.P.
Zurek, W.H.
Quantum work and the thermodynamic cost of quantum measurements
topic_facet Costs
Free energy
Average energy
Initial energy
Jarzynski equality
Maximum works
Projective measurement
Quantum measurement
Thermodynamic process
Thermodynamic quantities
Thermodynamics
description 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. A comparison of our results with the standard approach allows one to quantify the informational cost of projective measurements. © 2016 American Physical Society.
format JOUR
author Deffner, S.
Paz, J.P.
Zurek, W.H.
author_facet Deffner, S.
Paz, J.P.
Zurek, W.H.
author_sort Deffner, S.
title Quantum work and the thermodynamic cost of quantum measurements
title_short Quantum work and the thermodynamic cost of quantum measurements
title_full Quantum work and the thermodynamic cost of quantum measurements
title_fullStr Quantum work and the thermodynamic cost of quantum measurements
title_full_unstemmed Quantum work and the thermodynamic cost of quantum measurements
title_sort quantum work and the thermodynamic cost of quantum measurements
url http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Deffner
work_keys_str_mv AT deffners quantumworkandthethermodynamiccostofquantummeasurements
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