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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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Submitted on : Wednesday, April 25, 2018 - 10:21:47 AM
Last modification on : Monday, July 4, 2022 - 9:14:13 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 2:34:05 PM

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Tristan Benoist, Vojkan Jaksic, Yan Pautrat, Claude-Alain Pillet. On entropy production of repeated quantum measurements I. General theory. Communications in Mathematical Physics, Springer Verlag, 2018, 357 (1), pp.77-123. ⟨10.1007/s00220-017-2947-1⟩. ⟨hal-01341097⟩

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