Quantum Measurement and Entropy Production

Abstract

We study the time evolution of a quantum system without classical counterpart, undergoing a process of entropy increase due to the environment influence. We show that if the environment-induced decoherence is interpreted in terms of wave-function collapses, a symbolic sequence can be generated. We prove that the Kolmogorov-Sinai entropy of this sequence coincides with rate of von Neumann entropy increase.

5 pages, 2 figures

References in corpus (5)

• Kolmogorov-Sinai entropy-rate vs. physical entropy
• Lyapunov exponents, entropy production and decoherence
• Fingerprints of Classical Instability in Open Quantum Dynamics
• Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor
• Quantum Measurements, Information and Entropy Production

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• On entropy production of repeated quantum measurements I. General theory
• Quantum dynamical entropy and decoherence rate
• Decoherence, wave function collapses and non-ordinary statistical mechanics