Open Quantum Dynamics: Complete Positivity and Entanglement

Details Open Quantum Dynamics: Complete Positivity and Entanglement Open Quantum Dynamics: Complete Positivity and Entanglement

2005-07-28

arxiv.org/abs/quant-ph/0507271v1

Int.J.Mod.Phys. B19 (2005) 3063

Physics

Quantum Physics

LaTex, 77 pages

Scientific paper

10.1142/S0217979205032097

We review the standard treatment of open quantum systems in relation to quantum entanglement, analyzing, in particular, the behaviour of bipartite systems immersed in a 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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