Detection of Genuine Multipartite Entanglement in Multipartite Systems

被引:9
作者
Zhao, Jing Yun [1 ]
Zhao, Hui [1 ]
Jing, Naihuan [2 ,3 ]
Fei, Shao-Ming [4 ,5 ]
机构
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
[2] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[4] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[5] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
基金
中国国家自然科学基金;
关键词
Genuine multipartite entanglement; Correlation tensor;
D O I
10.1007/s10773-019-04193-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical and sufficient criterion for detecting the genuine four-partite entanglement. The results are generalized to arbitrary multipartite systems.
引用
收藏
页码:3181 / 3191
页数:11
相关论文
共 21 条
[1]   Device-Independent Witnesses of Genuine Multipartite Entanglement [J].
Bancal, Jean-Daniel ;
Gisin, Nicolas ;
Liang, Yeong-Cherng ;
Pironio, Stefano .
PHYSICAL REVIEW LETTERS, 2011, 106 (25)
[2]   COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].
BENNETT, CH ;
WIESNER, SJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884
[3]   TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].
BENNETT, CH ;
BRASSARD, G ;
CREPEAU, C ;
JOZSA, R ;
PERES, A ;
WOOTTERS, WK .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899
[4]   Improved lower bounds on genuine-multipartite-entanglement concurrence [J].
Chen, Zhi-Hua ;
Ma, Zhi-Hao ;
Chen, Jing-Ling ;
Severini, Simone .
PHYSICAL REVIEW A, 2012, 85 (06)
[5]   Multipartite entanglement detection from correlation tensors [J].
de Vicente, Julio I. ;
Huber, Marcus .
PHYSICAL REVIEW A, 2011, 84 (06)
[6]   QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM [J].
EKERT, AK .
PHYSICAL REVIEW LETTERS, 1991, 67 (06) :661-663
[7]   Genuine multipartite entanglement in the XY model [J].
Giampaolo, S. M. ;
Hiesmayr, B. C. .
PHYSICAL REVIEW A, 2013, 88 (05)
[8]   Entanglement detection [J].
Guehne, Otfried ;
Toth, Geza .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 474 (1-6) :1-75
[9]  
Hassan ASM, 2008, QUANTUM INF COMPUT, V8, P773
[10]   Measure of multipartite entanglement with computable lower bounds [J].
Hong, Yan ;
Gao, Ting ;
Yan, Fengli .
PHYSICAL REVIEW A, 2012, 86 (06)