Classification of the Entangled states L\times N\times N

Details Classification of the Entangled states L\times N\times N Classification of the Entangled states L\times N\times N

2011-08-29

arxiv.org/abs/1108.5636v2

Phys.Rev.A85:012301,2012

Physics

Quantum Physics

21 pages; published in Phys. Rev. A

Scientific paper

We presented a general classification scheme for the tripartite $L\times N\times N$ 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 $3\times N\times N$ system is given.

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