Classification of multipartite entanglement containing infinitely many kinds of states
Lin Chen, Yi-Xin Chen, Yu-Xue Mei
Abstract
We give a further investigation of the range criterion and Low-to-High Rank Generating Mode (LHRGM) introduced in Chen, which can be used for the classification of 2×M×N states under reversible local filtering operations. By using of these techniques, we entirely classify the family of 2×4×4 states, which actually contains infinitely many kinds of states. The classifications of true entanglement of 2×(M+3)×(2M+3) and 2×(M+4)×(2M+4) systems are briefly listed respectively.
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