Classification of the Entangled States $2 \times M \times N$

Details Classification of the Entangled States $2 \times M \times N$ Classification of the Entangled States $2 \times M \times N$

2009-12-31

arxiv.org/abs/1001.0078v1

Physics

Quantum Physics

17 pages, 1 figure

Scientific paper

We extend the matrix decomposition method(MDM) in classifying the $2\times N\times N$ truly entangled states to $2\times M\times N$ system under the condition of stochastic local operations and classical communication(SLOCC). It is found that the MDM is quite practical and convenient in operation for the asymmetrical tripartite states, and an explicit example of the classification of $2\times 6\times 7$ quantum system is presented.

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