Multiparticle entanglement and ranks of density matrices
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Date
2005
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arXiv
Abstract
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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Chong, Bo; Keiter, Hellmut; Stolze, Joachim: Multiparticle entanglement and ranks of density matrices, preprint 2005, arXiv:quant-ph/0512199v1.