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Classification of the Entangled States of 2 times N times N

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arxiv 0804.2291 v2 pith:6GH52ZKR submitted 2008-04-15 quant-ph hep-ph

Classification of the Entangled States of 2 times N times N

classification quant-ph hep-ph
keywords timesclassesclassificationdimensionentangledentanglementmethodstate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a novel method in classifying the multipartite entanglement state of $2\times N\times N$ under stochastic local operation and classical communication. In this method, all inequivalent classes of true entangled state can be assorted directly without knowing the classification information of lower dimension ones for any given dimension $N$. It also gives a nature explanation for the non-local parameters remaining in the entanglement classes while $N\geq 4$ .

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