|Title:||Multiparticle entanglement and ranks of density matrices|
|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.|
|Citation:||Chong, Bo; Keiter, Hellmut; Stolze, Joachim: Multiparticle entanglement and ranks of density matrices, preprint 2005, arXiv:quant-ph/0512199v1.|
|Appears in Collections:||Stolze, Joachim Prof. Dr.|
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