An Introduction to Quantum Entanglement: a Geometric Approach

Abstract

We present a concise introduction to quantum entanglement. Concentrating on bipartite systems we review the separability criteria and measures of entanglement. We focus our attention on geometry of the sets of separable and maximally entangled states. We treat in detail the two-qubit system and emphasise in what respect this case is a special one.

41 pages with 17 figures, based on a chapter of our book "Geometry of Quantum States: An Introduction to Quantum Entanglement" published by Cambridge University Press in May 2006, see http://chaos.if.uj.edu.pl/~karol/geometry.htm

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• Geometry of two-qubit states with negative conditional entropy
• Statistical discrete geometry