Classification of multipartite entanglement containing infinitely many kinds of states

Details Classification of multipartite entanglement containing infinitely many kinds of states Classification of multipartite entanglement containing infinitely many kinds of states

2006-04-25

arxiv.org/abs/quant-ph/0604184v1

Physics

Quantum Physics

11 pages, revtex

Scientific paper

10.1103/PhysRevA.74.052331

We give a further investigation of the range criterion and Low-to-High Rank Generating Mode (LHRGM) introduced in \cite{Chen}, which can be used for the classification of $2\times{M}\times{N}$ states under reversible local filtering operations. By using of these techniques, we entirely classify the family of $2\times4\times4$ states, which actually contains infinitely many kinds of states. The classifications of true entanglement of $2\times(M+3)\times(2M+3)$ and $2\times(M+4)\times(2M+4)$ systems are briefly listed respectively.

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