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Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix

by: Shuhao Wang, Yao Lu, Ming Gao, JIanlian Cui, Junlin Li
(1 Sep 2012)  Key: citeulike:11183160

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Abstract

We study multipartite entanglement under stochastic local operations and classical communication (SLOCC) and propose the entanglement classification under SLOCC for arbitrary-dimensional multipartite (n-qudit) pure states via the rank of coefficient matrix, together with the permutation of qudits. The entanglement classification of the $2 ⊗ 2 ⊗ 2 ⊗ 4$ system is discussed in terms of the generalized method, and 19 different SLOCC families are found.


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