H. T. Cui, J. L. Tian, C. M. Wang, Y. C. Chen
The topology of entanglement in multipartite state with translational invariance is discussed in this article. Two global features can be constructed, cyclic unit and periodicity, by which one can differentiate one state from another. Furthermore the concept of topological phase can be introduced, which is characterized by quantized Berry phase induced by translational operation. In addition, a scheme is also presented in order to prepare the symmetric entangled states in concrete system.
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http://arxiv.org/abs/1107.4835
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