On entropy production of repeated quantum measurements III. Quantum detailed balance

2025/11/02 by Tristan Benoist, Noé Cuneo, Benoist, Tristan +5
Computer Science · Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #cs.IT #math-ph #math.IT #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.2511.00910

Minor corrections and clarifications

arxiv created 2026/07/31 · arxiv updated 2026/08/03

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.

Citations

• An ergodic process of zero divergence-distance from its time-reversed process
• The Zero Set of a Real Analytic Function
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• An Ergodic Theorem for Quantum Counting Processes

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