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
[71]   Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information [J].
Walter, Michael ;
Doran, Brent ;
Gross, David ;
Christandl, Matthias .
SCIENCE, 2013, 340 (6137) :1205-1208
[72]   X-ray ptychography with highly-curved wavefront [J].
Wang, S. ;
Shapiro, D. ;
Kaznatcheev, K. .
11TH INTERNATIONAL CONFERENCE ON X-RAY MICROSCOPY (XRM2012), 2013, 463
[73]  
Weinfurter, PHYS REV LETT, V100
[74]   Quantum order: a quantum entanglement of many particles [J].
Wen, XG .
PHYSICS LETTERS A, 2002, 300 (2-3) :175-181
[75]   CHIRAL SPIN STATES AND SUPERCONDUCTIVITY [J].
WEN, XG ;
WILCZEK, F ;
ZEE, A .
PHYSICAL REVIEW B, 1989, 39 (16) :11413-11423
[76]   QUANTUM STATES WITH EINSTEIN-PODOLSKY-ROSEN CORRELATIONS ADMITTING A HIDDEN-VARIABLE MODEL [J].
WERNER, RF .
PHYSICAL REVIEW A, 1989, 40 (08) :4277-4281
[77]   Global asymmetry of many-qubit correlations: A lattice-gauge-theory approach [J].
Williamson, Mark S. ;
Ericsson, Marie ;
Johansson, Markus ;
Sjoqvist, Erik ;
Sudbery, Anthony ;
Vedral, Vlatko .
PHYSICAL REVIEW A, 2011, 84 (03)
[78]   Geometric local invariants and pure three-qubit states [J].
Williamson, Mark S. ;
Ericsson, Marie ;
Johansson, Markus ;
Sjoqvist, Erik ;
Sudbery, Anthony ;
Vedral, Vlatko ;
Wootters, William K. .
PHYSICAL REVIEW A, 2011, 83 (06)
[79]   TOPOLOGY OF ENTANGLEMENT EVOLUTION OF TWO QUBITS [J].
Zhou, Dong ;
Chern, Gia-Wei ;
Fei, Jianjia ;
Joynt, Robert .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (07)