A Classification of Entanglement in Multipartite States with Translation Symmetry

Details A Classification of Entanglement in Multipartite States with Translation Symmetry A Classification of Entanglement in Multipartite States with Translation Symmetry

2011-07-25

arxiv.org/abs/1107.4835v2

Physics

Quantum Physics

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Scientific paper

A classification of entangled states with translational symmetry in $N$-qubit systems is presented in this article. By founding a symmetric basis of state space, the symmetric basis states could be divided into several distinct classes, determined completely by two global features, periodic pattern and cyclic unit. An understanding of equivalence of entangled states is constructed from phase transition point; The inequivalent entangled states belong to different phases, and the transformation between them is accompanied with phase transition. In addition a state composed from different phases is classified as the symmetry-broken phase since it includes distinct global features.

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