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On Entropy Production of Repeated Quantum Measurements I. General Theory

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Abstract

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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Authors and Affiliations

  1. CNRS, Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, UPS, 31062, Toulouse, France

    T. Benoist

  2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada

    V. Jakšić

  3. Laboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405, Orsay, France

    Y. Pautrat

  4. Aix Marseille Univ, Univ Toulon, CNRS, CPT, Marseille, France

    C.-A. Pillet

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  1. T. Benoist
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  2. V. Jakšić
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  3. Y. Pautrat
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  4. C.-A. Pillet
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Correspondence to V. Jakšić.

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Communicated by D. Buchholz, K. Fredenhagen, Y. Kawahigashi.

Dedicated to the memory of Rudolf Haag

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Benoist, T., Jakšić, V., Pautrat, Y. et al. On Entropy Production of Repeated Quantum Measurements I. General Theory. Commun. Math. Phys. 357, 77–123 (2018). https://doi.org/10.1007/s00220-017-2947-1

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