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Topology of Entanglement in Multipartite States with Translational Invariance

2011/07/25 by H. T. Cui, Junlong Tian, Cui, H. T. +6
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #quant-ph

paper · pdf · doi:10.48550/arxiv.1107.4835

major revision. accepted by EPJD

openalex publication_date 2011/07/25 · arxiv created 2013/06/17 · arxiv updated 2013/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The topology of entanglement in multipartite states with translational invariance is discussed in this article. Two global features are foundby which one can distinguish distinct states. These are the cyclic unit and the quantised geometric phase. Furthermore the topology is indicated by the fractional spin. Finally a scheme is presented for preparation of these types of states in spin chain systems, in which the degeneracy of the energy levels characterises the robustness of the states with translational invariance.

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