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

References in corpus (9)

• Multi-party entanglement in graph states
• A complete family of separability criteria
• Concurrence of arbitrary dimensional bipartite quantum states
• Quantifying Entanglement with Witness Operators
• The volume of separable states is super-doubly-exponentially small
• Entanglement in quantum information theory
• Universal Measure of Entanglement
• Analytical formula connecting entangled state and the closest disentangled state
• Towards efficient algorithm deciding separability of distributed quantum states