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This paper advances the theoretical understanding of entropy production in repeated quantum measurements by characterizing KMS detailed balance conditions through time-reversal symmetry and informationally complete instruments. Such foundational work is critical for refining thermodynamic limits in future fault-tolerant quantum computing architectures and error-correction protocols. It represents a significant step toward integrating non-equilibrium statistical mechanics into the core design of scalable quantum systems.
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On entropy production of repeated quantum measurements III. Quantum detailed balance

arXiv1 min read

arXiv:2511.00910v2 Announce Type: replace 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.

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

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.

Quantum Physics (quant-ph); Information Theory (cs.IT); Mathematical Physics (math-ph)

arXiv:2511.00910 [quant-ph]

(or arXiv:2511.00910v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2511.00910 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 169 words

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