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Classification of the Entangled States of 2× L× M× N× H

2015/05/08 by Jia, Kang-Kang, Li, Jun-Li, Qiao, Cong-Feng
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1505.02007

Abstract

In this work we propose a practical entanglement classification scheme for pure states of 2× L× M× N× H, under the stochastic local operation and classical communication (SLOCC), which generalizes the method explored in the entanglement classification of 2× L× M× N to the five-partite system. The entangled states of 2× L× M× N× H system are first classified into different coarse-grained standard forms using matrix decompositions, and then fine-grained identification of two inequivalent entangled states with the same standard form are completed by using the matrix realignment technique. As an practical example, entanglement classes of the five-qubit system of 2× 2× 2× 2× 2 are presented.

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