Separability, entanglement and full families of commuting normal matrices

Details Separability, entanglement and full families of commuting normal matrices Separability, entanglement and full families of commuting normal matrices

2007-04-19

arxiv.org/abs/0704.2597v2

Physics

Quantum Physics

14 pages, some typos corrected, a reference added, in print in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.76.022314

We reduce the question whether a given quantum mixed state is separable or entangled to the problem of existence of a certain full family of commuting normal matrices whose matrix elements are partially determined by components of the pure states constituting a decomposition of the considered mixture. The method reproduces many known entanglement and/or separability criteria, and provides yet another geometrical characterization of mixed separable states.

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