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OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT

2005/07/28 by Fabio Benatti, F. Benatti, R. Floreanini +1 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.other #hep-th #quant-ph

paper · pdf · doi:10.1142/s0217979205032097

published as Int.J.Mod.Phys. B19 (2005) 3063 · LaTex, 77 pages

arxiv created 2005/07/28 · openalex publication_date 2005/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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