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Article Dans Une Revue Communications in Mathematical Physics Année : 2018

On entropy production of repeated quantum measurements I. General theory

Résumé

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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Dates et versions

hal-01341097 , version 1 (25-04-2018)

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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, 2018, 357 (1), pp.77-123. ⟨10.1007/s00220-017-2947-1⟩. ⟨hal-01341097⟩
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