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Article

Quantum and Classical Ergotropy from Relative Entropies

by 1,2,3,* and 4,5
1
Aliro Technologies, Inc., Boston, MA 02135, USA
2
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
3
Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
4
Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
5
Instituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas, Campinas 13083-859, Brazil
*
Author to whom correspondence should be addressed.
Academic Editor: Ronnie Kosloff
Entropy 2021, 23(9), 1107; https://doi.org/10.3390/e23091107
Received: 2 August 2021 / Revised: 20 August 2021 / Accepted: 20 August 2021 / Published: 25 August 2021
(This article belongs to the Special Issue Thermodynamics of Quantum Information)
The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given that the ergotropy can be expressed as the difference of quantum and classical relative entropies of the quantum state with respect to the thermal state, we define the classical ergotropy, which quantifies how much work can be extracted from distributions that are inhomogeneous on the energy surfaces. A unified approach to treat both quantum as well as classical scenarios is provided by geometric quantum mechanics, for which we define the geometric relative entropy. The analysis is concluded with an application of the conceptual insight to conditional thermal states, and the correspondingly tightened maximum work theorem. View Full-Text
Keywords: ergotropy; geometric quantum mechanics; conditional thermal state ergotropy; geometric quantum mechanics; conditional thermal state
MDPI and ACS Style

Sone, A.; Deffner, S. Quantum and Classical Ergotropy from Relative Entropies. Entropy 2021, 23, 1107. https://doi.org/10.3390/e23091107

AMA Style

Sone A, Deffner S. Quantum and Classical Ergotropy from Relative Entropies. Entropy. 2021; 23(9):1107. https://doi.org/10.3390/e23091107

Chicago/Turabian Style

Sone, Akira, and Sebastian Deffner. 2021. "Quantum and Classical Ergotropy from Relative Entropies" Entropy 23, no. 9: 1107. https://doi.org/10.3390/e23091107

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