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On entropy production of repeated quantum measurements I. General theory

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arxiv 1607.00162 v2 pith:GPOFQP64 submitted 2016-07-01 math-ph math.DSmath.MPmath.PRquant-ph

Tristan Benoist , Vojkan Jaksic , Yan Pautrat , Claude-Alain Pillet This is my paper · ORCID
classification math-phmath.DSmath.MPmath.PRquant-ph
keywords quantumentropymeasurementsproductionrepeatedadoptingapproacharrow
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We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility related to the hypothesis testing of the arrow of time. Under a suitable chaoticity assumption, we establish a Large Deviation Principle and a Fluctuation Theorem for the EP.

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  1. Bounds for Apparent Second-Law Violations in Quantum Trajectories

    quant-ph 2026-08 accept novelty 7.0 of 10

    Negative stochastic entropy production in quantum trajectories is bounded below by a sharp function of the mean completed entropy, so apparent second-law violations cannot become rarer than a universal floor.

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