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On Entropy Production of Repeated Quantum Measurements I. General Theory

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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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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