Geometric measure of entanglement for multipartite quantum states

Details Geometric measure of entanglement for multipartite quantum states Geometric measure of entanglement for multipartite quantum states

2002-12-05

arxiv.org/abs/quant-ph/0212030v1

PHYS REV A 68 (4): Art. No. 042307 OCT 2003

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings [A. Shimony, Ann. NY. Acad. Sci. 755, p.675 (1995) and H. Barnum and N. Linden, J. Phys. A: Math. Gen. 34, p.6787 (2001)], is explored for bipartite and multipartite pure and mixed states. It is determined for arbitrary two-qubit mixed states and for generalized Werner and isotropic states, and is also applied to certain multipartite mixed states.

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