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Separable and entangled states of composite quantum systems; Rigorous description

1997/11/21 by Adam W. Majewski, Majewski, Adam W.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9711051

latex with revtex

arxiv created 1997/11/21 · arxiv updated 2009/12/01

Abstract

We present a general description of separable states in Quantum Mechanics. In particular, our result gives an easy proof that inseparabitity (or entanglement) is a pure quantum (noncommutative) notion. This implies that distinction between separability and inseparabitity has sense only for composite systems consisting of pure quantum subsystems. Moreover, we provide the unified characterization of pure-state entanglement and mixed-state entanglement.

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