Fluctuation and dissipation in memoryless open quantum evolutions

• URL: http://arxiv.org/abs/2108.00087v1
• Date: Fri, 30 Jul 2021 21:33:38 GMT
• Title: Fluctuation and dissipation in memoryless open quantum evolutions
• Authors: Fabricio Toscano, Gustavo M. Bosyk, Steeve Zozor, and Mariela Portesi
• Abstract summary: Von Neumann entropy rate for open quantum systems is written in terms of entropy production and entropy flow rates. We find a decomposition of the infinitesimal generator of the dynamics, that allows to relate the rate with the divergence-based quantum Fisher information.
• Score: 1.6449390849183356
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Von Neumann entropy rate for open quantum systems is, in general, written in terms of entropy production and entropy flow rates, encompassing the second law of thermodynamics. When the open-quantum-system evolution corresponds to a quantum dynamical semigroup, we find a decomposition of the infinitesimal generator of the dynamics, that allows to relate the von Neumann entropy rate with the divergence-based quantum Fisher information, at any time. Applied to quantum Gaussian channels that are dynamical semigroups, our decomposition leads to the quantum analog of the generalized classical de Bruijn identity, thus expressing the quantum fluctuation-dissipation relation in that kind of channels. Finally, from this perspective, we analyze how stationarity arises.

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