Classification of the Entangled states L× N× N
Abstract
We presented a general classification scheme for the tripartite L× N× N entangled system under stochastic local operation and classical communication. The whole classification procedure consists of two correlated parts: the simultaneous similarity transformation of a commuting matrix pair into a canonical form and the study of internal symmetry of parameters in the canonical form. Based on this scheme, a concrete example of entanglement classification for a 3× N× N system is given.
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