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OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT

Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11 and Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, 34014 Trieste, Italy

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ROBERTO FLOREANINI

Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11, 34014 Trieste, Italy

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https://doi.org/10.1142/S0217979205032097Cited by:131 (Source: Crossref)

Abstract

We review the standard treatment of open quantum systems in relation to quantum entanglement, analyzing, in particular, the behavior of bipartite systems immersed in the same environment. We first focus upon the notion of complete positivity, a physically motivated algebraic constraint on the quantum dynamics, in relation to quantum entanglement, i.e. the existence of statistical correlations which can not be accounted for by classical probability. We then study the entanglement power of heat baths versus their decohering properties, a topic of increasing importance in the framework of the fast developing fields of quantum information, communication and computation. The presentation is self contained and, through several examples, it offers a detailed survey of the physics and of the most relevant and used techniques relative to both quantum open system dynamics and quantum entanglement.

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