4.6 Article

On Entropy Production of Repeated Quantum Measurements I. General Theory

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 357, Issue 1, Pages 77-123

Publisher

SPRINGER
DOI: 10.1007/s00220-017-2947-1

Keywords

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Funding

  1. ANR project RMTQIT [ANR-12-IS01-0001-01]
  2. ANR [ANR-14-CE25-0003-0]
  3. NSERC
  4. UMI-CRM
  5. A*MIDEX project [ANR-11-IDEX-0001-02]
  6. Investissements d'Avenir French Government

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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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