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

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Cited by in corpus (16)

• Multipartite entanglement in heterogeneous systems
• Complete classification of steerability under local filters and its relation with measurement incompatibility
• Characterizing multipartite entanglement classes via higher-dimensional embeddings
• Multi-copy and stochastic transformation of multipartite pure states
• Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
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• Quantum k-uniform states for heterogeneous systems from irredundant mixed orthogonal arrays
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• Comment on "Matrix Pencils and Entanglement Classification"
• Multipartite entanglement classes of a multiport beam-splitter