Classification of multipartite entanglement containing infinitely many kinds of states

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 $2\times 4\times 4$ 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.

11 pages, revtex

References in corpus (1)

• Concurrence of arbitrary dimensional bipartite quantum states

Cited by in corpus (2)

• Multi-copy and stochastic transformation of multipartite pure states
• Multiqubit entanglement witness