Detection of High-Dimensional Genuine Multipartite Entanglement of Mixed States

被引:197
作者
Huber, Marcus [1 ,2 ]
Mintert, Florian [1 ,2 ]
Gabriel, Andreas [1 ]
Hiesmayr, Beatrix C. [1 ]
机构
[1] Univ Vienna, Fac Phys, A-1090 Vienna, Austria
[2] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
关键词
SEPARABILITY;
D O I
10.1103/PhysRevLett.104.210501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our criteria are simple functions of the given quantum state and detect genuine multipartite entanglement that had not been identified so far. They are experimentally accessible without quantum state tomography and are easily computable as no optimization or eigenvalue evaluation is needed.
引用
收藏
页数:4
相关论文
共 23 条
[1]   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
[2]   The simplest double slit:: Interference and entanglement in double photoionization of H2 [J].
Akoury, D. ;
Kreidi, K. ;
Jahnke, T. ;
Weber, Th. ;
Staudte, A. ;
Schoeffler, M. ;
Neumann, N. ;
Titze, J. ;
Schmidt, L. Ph. H. ;
Czasch, A. ;
Jagutzki, O. ;
Costa Fraga, R. A. ;
Grisenti, R. E. ;
Diez Muino, R. ;
Cherepkov, N. A. ;
Semenov, S. K. ;
Ranitovic, P. ;
Cocke, C. L. ;
Osipov, T. ;
Adaniya, H. ;
Thompson, J. C. ;
Prior, M. H. ;
Belkacem, A. ;
Landers, A. L. ;
Schmidt-Boecking, H. ;
Doerner, R. .
SCIENCE, 2007, 318 (5852) :949-952
[3]   Entanglement detection [J].
Guehne, Otfried ;
Toth, Geza .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 474 (1-6) :1-75
[4]  
GUHNE O, ARXIV09051349
[5]  
Hassan ASM, 2008, QUANTUM INF COMPUT, V8, P773
[6]   Two computable sets of multipartite entanglement measures [J].
Hiesmayr, Beatrix C. ;
Huber, Marcus ;
Krammer, Philipp .
PHYSICAL REVIEW A, 2009, 79 (06)
[7]   Separability of n-particle mixed states:: necessary and sufficient conditions in terms of linear maps [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICS LETTERS A, 2001, 283 (1-2) :1-7
[8]   Quantum entanglement [J].
Horodecki, Ryszard ;
Horodecki, Pawel ;
Horodecki, Michal ;
Horodecki, Karol .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :865-942
[9]   Experimental measurement of lower and upper bounds of concurrence for mixed quantum states [J].
Huang, Yun-Feng ;
Niu, Xiao-Ling ;
Gong, Yan-Xiao ;
Li, Jian ;
Peng, Liang ;
Zhang, Cheng-Jie ;
Zhang, Yong-Sheng ;
Guo, Guang-Can .
PHYSICAL REVIEW A, 2009, 79 (05)
[10]   Optimization of entanglement witnesses [J].
Lewenstein, M ;
Kraus, B ;
Cirac, JI ;
Horodecki, P .
PHYSICAL REVIEW A, 2000, 62 (05) :052310-052311