On entropy production of repeated quantum measurements III. Quantum detailed balance
Tristan Benoist, No\'e Cuneo, Vojkan Jak\v{s}i\'c, Claude-Alain Pillet
TL;DR
This paper characterizes the quantum detailed balance condition for quantum channels using time-reversal invariance and entropy production, advancing the understanding of entropy dynamics in repeated quantum measurements.
Contribution
It provides a novel characterization of quantum detailed balance in terms of time-reversal invariance and entropy production for informationally complete quantum instruments.
Findings
Quantum detailed balance is characterized via time-reversal invariance.
Entropy production vanishes under detailed balance conditions.
The approach extends previous dynamical-systems frameworks to quantum channels.
Abstract
In light of the dynamical-systems approach to entropy production in repeated quantum measurements, proposed and illustrated in Commun. Math. Phys. 357, 77-123 (2018) [arXiv:1607.00162] and J. Stat. Phys. 182, 44 (2021) [arXiv:2012.03885], we characterize the KMS quantum detailed balance condition for quantum channels via time-reversal invariance and the vanishing of the entropy production for the associated informationally complete quantum instruments.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics