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Classification of multipartite entanglement containing infinitely many kinds of states

Lin Chen·Yi-Xin Chen·Yu-Xue Mei
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Abstract

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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Lin Chen, Yi-Xin Chen, Yu-Xue Mei. 2006-04-25. Classification of multipartite entanglement containing infinitely many kinds of states. https://doi.org/10.1103/physreva.74.052331

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