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Quantum Measurement and Entropy Production

Paolo Grigolini, Marco G. Pala, Luigi Palatella

cond-mat.stat-mecharXiv:cond-mat/0007323

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.

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