Topology of entanglement in multipartite states with translational invariance

被引:1
作者
Cui, Hai-Tao [1 ]
Tian, Jun-Long [1 ]
Wang, Chun-Ming [1 ]
Chen, Yong-Chao [1 ]
机构
[1] Anyang Normal Univ, Sch Phys & Elect Engn, Anyang 455000, Peoples R China
关键词
QUANTUM ENTANGLEMENT; CLASSIFICATION;
D O I
10.1140/epjd/e2013-40045-2
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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.
引用
收藏
页数:9
相关论文
共 79 条
[1]   Generalized Schmidt decomposition and classification of three-quantum-bit states [J].
Acín, A ;
Andrianov, A ;
Costa, L ;
Jané, E ;
Latorre, JI ;
Tarrach, R .
PHYSICAL REVIEW LETTERS, 2000, 85 (07) :1560-1563
[2]   Classification of mixed three-qubit states -: art. no. 040401 [J].
Acín, A ;
Bruss, D ;
Lewenstein, M ;
Sanpera, A .
PHYSICAL REVIEW LETTERS, 2001, 87 (04) :40401-1
[3]  
Aulbach M., 2010, LNCS, P141
[4]  
Aulbach M., ARXIVQUANTPH11030271
[5]   Operational Families of Entanglement Classes for Symmetric N-Qubit States [J].
Bastin, T. ;
Krins, S. ;
Mathonet, P. ;
Godefroid, M. ;
Lamata, L. ;
Solano, E. .
PHYSICAL REVIEW LETTERS, 2009, 103 (07)
[6]   Operational Determination of Multiqubit Entanglement Classes via Tuning of Local Operations [J].
Bastin, T. ;
Thiel, C. ;
von Zanthier, J. ;
Lamata, L. ;
Solano, E. ;
Agarwal, G. S. .
PHYSICAL REVIEW LETTERS, 2009, 102 (05)
[7]  
Bastin T., ARXIVQUANTPH10111243
[8]   Emergent many-body translational symmetries of Abelian and non-Abelian fractionally filled topological insulators [J].
Bernevig, B. Andrei ;
Regnault, N. .
PHYSICAL REVIEW B, 2012, 85 (07)
[10]   Four-Qubit Entanglement Classification from String Theory [J].
Borsten, L. ;
Dahanayake, D. ;
Duff, M. J. ;
Marrani, A. ;
Rubens, W. .
PHYSICAL REVIEW LETTERS, 2010, 105 (10)