1209.0063 (Shuhao Wang et al.)

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

Shuhao Wang, Yao Lu, Ming Gao, Jianlian Cui, Junlin Li

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 ranks of the coefficient matrices have been proved to be entanglement monotones. The entanglement classification of the $2 \otimes 2 \otimes 2 \otimes 4$ system is discussed in terms of the generalized method, and 22 different SLOCC families are found.

View original: http://arxiv.org/abs/1209.0063