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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Cited by in corpus (25)

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• An operational approach to quantum stochastic thermodynamics
• Experimental assessment of entropy production in a continuously measured mechanical resonator
• Fluctuation Theorems for Continuous Quantum Measurement and Absolute Irreversibility
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• Characterizing a statistical arrow of time in quantum measurement dynamics
• Large Deviations and Fluctuation Theorem for Selectively Decoupled Measures on Shift Spaces
• Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
• Concentration Inequalities for Output Statistics of Quantum Markov Processes
• Landauer's Principle for Trajectories of Repeated Interaction Systems
• Time reversal symmetry of generalized quantum measurements with past and future boundary conditions
• On stability of quantum trajectories and their Cesaro mean
• Markovian Repeated Interaction Quantum Systems
• Recurrence times, waiting times and universal entropy production estimators
• Classicality of the heat produced by quantum measurements
• On a waiting-time result of Kontoyiannis: mixing or decoupling?
• Fermionic walkers driven out of equilibrium
• Large deviations of return times and related entropy estimators on shift spaces
• On the Ziv-Merhav theorem beyond Markovianity
• Quantum trajectory of the one atom maser
• Quantum Repeated Interactions and the Chaos Game
• Quenched large deviations of Birkhoff sums along random quantum measurements
• Asymptotic Purification of Quantum Trajectories under Random Generalized Measurements
• Miniatures on Open Quantum Systems
• A physical noise model for quantum measurements