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Lecture notes in physics

Complete Positivity in Dissipative Quantum Dynamics

Fabio Benatti, Roberto Floreanini B, R. Romano

Published Jan 1, 2002• 1 citation
Publisher
DOI
10.1007/3-540-46122-1_12

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The statistical interpretation of quantum mechanics requires that, while evolving in time, states of quantum systems keep a positive spectrum of eigenvalues. That is, the time-evolution must be positivity preserving or, in short, positive. When dealing with dissipative quantum systems, positivity is no longer sufficient. The presence of entangled states makes it necessary that the time-evolution be completely positive. In this paper we discuss this latter notion in relation to simple positivity and quantum entanglement.