Multiparticle entanglement and ranks of density matrices

Details Multiparticle entanglement and ranks of density matrices Multiparticle entanglement and ranks of density matrices

2005-12-22

arxiv.org/abs/quant-ph/0512199v1

Physics

Quantum Physics

Scientific paper

Based on the ranks of reduced density matrices, we derive necessary conditions for the separability of multiparticle arbitrary-dimensional mixed states, which are equivalent to sufficient conditions for entanglement. In a similar way we obtain necessary conditions for the separability of a given mixed state with respect to partitions of all particles of the system into subsets. The special case of pure states is discussed separately.

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