Discrimination of physical states in quantum systems

Mayumi Shingu-Yano and Fumiaki Shibata

Physica A: Statistical Mechanics and its Applications, 2001, vol. 293, issue 1, 115-129

Abstract: Quantum mechanical relaxation and decoherence processes are studied from a view point of discrimination problem of physical states. This is based on an information statistical mechanical method, where concept of a probability density and an entropy is to be generalized. We use a quasi-probability density of Q-function (Husimi function) and the corresponding entropy (Wehrl–Lieb entropy) and apply the method to a Brownian motion of an oscillator and a non-linear spin relaxation process. Our main concern lies in obtaining a discrimination probability Pd as a function of time and temperature. Quantum mechanical fluctuation causes profound effects than the thermal fluctuation.

Keywords: Discrimination of states; Entropy; Information criterion; Non-linear spin relaxation; Quantum Brownian motion; Quantum fluctuation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:293:y:2001:i:1:p:115-129

DOI: 10.1016/S0378-4371(00)00617-8

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