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Article

Quantum Euler Relation for Local Measurements

1
Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
2
Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA
3
Instituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas, Campinas 13083-859, SP, Brazil
*
Author to whom correspondence should be addressed.
Academic Editor: Rosario Lo Franco
Entropy 2021, 23(7), 889; https://doi.org/10.3390/e23070889
Received: 11 June 2021 / Revised: 5 July 2021 / Accepted: 8 July 2021 / Published: 13 July 2021
(This article belongs to the Special Issue Thermodynamics of Quantum Information)
In classical thermodynamics the Euler relation is an expression for the internal energy as a sum of the products of canonical pairs of extensive and intensive variables. For quantum systems the situation is more intricate, since one has to account for the effects of the measurement back action. To this end, we derive a quantum analog of the Euler relation, which is governed by the information retrieved by local quantum measurements. The validity of the relation is demonstrated for the collective dissipation model, where we find that thermodynamic behavior is exhibited in the weak-coupling regime. View Full-Text
Keywords: information gain; holevo bound; quantum discord; local measurements; ergotropy information gain; holevo bound; quantum discord; local measurements; ergotropy
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MDPI and ACS Style

Touil, A.; Weber, K.; Deffner, S. Quantum Euler Relation for Local Measurements. Entropy 2021, 23, 889. https://doi.org/10.3390/e23070889

AMA Style

Touil A, Weber K, Deffner S. Quantum Euler Relation for Local Measurements. Entropy. 2021; 23(7):889. https://doi.org/10.3390/e23070889

Chicago/Turabian Style

Touil, Akram, Kevin Weber, and Sebastian Deffner. 2021. "Quantum Euler Relation for Local Measurements" Entropy 23, no. 7: 889. https://doi.org/10.3390/e23070889

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