Maximal Overlap with a Fully Separable State and Translational Invariance in Multipartite Entangled States

Details Maximal Overlap with a Fully Separable State and Translational Invariance in Multipartite Entangled States Maximal Overlap with a Fully Separable State and Translational Invariance in Multipartite Entangled States

2010-08-20

arxiv.org/abs/1008.3486v3

PhysRevA_82_062116 (2010)

Physics

Quantum Physics

published version. comments welcome

Scientific paper

The maximal overlap with the fully separable state for the multipartite entangled pure state with translational invariance is studied explicitly by some exact and numerical evaluations, focusing on the one-dimensional qubit system and some representative types of translational invariance. The results show that the translational invariance of the multipartite state could have an intrinsic effect on the determinations of the maximal overlap and the nearest fully separable state for multipartite entangled states. Furthermore a hierarchy of the basic entangled states with translational invariance is founded, from which one could readily find the maximal overlap and a related fully separable state for the multipartite state composed of different translational invariance structures.

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