Multiple Entropy Measures for Multi-particle Pure Quantum State

被引:21
作者
Liu Dan [1 ,2 ,3 ]
Zhao Xin [2 ,3 ]
Long Gui-Lu [1 ,2 ,3 ,4 ]
机构
[1] Dalian Nationalities Univ, Sch Sci, Dalian 116600, Peoples R China
[2] Tsinghua Univ, Key Lab Atom & Mol NanoSci, Beijing 100084, Peoples R China
[3] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
[4] Tsinghua Univ, Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
MEMS; entanglement measure; multiple entropy measures; ENTANGLEMENT; PURIFICATION;
D O I
10.1088/0253-6102/54/5/09
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose to use a set of averaged entropies, the multiple entropy measures (MEMS), to partially quantify quantum entanglement of multipartite quantum state. The MEMS is vector-like with m = [N/2] components: [S1, S2, ..., Sm], and the i-th component S-i is the geometric mean of i-qubits partial entropy of the system. The S-i measures how strong an arbitrary i qubits from the system are correlated with the rest of the system. It satisfies the conditions for a good entanglement measure. We have analyzed the entanglement properties of the GHZ-state, the W-states, and cluster-states under MEMS.
引用
收藏
页码:825 / 828
页数:4
相关论文
共 53 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]   Variational characterizations of separability and entanglement of formation [J].
Audenaert, K ;
Verstraete, F ;
De Moor, B .
PHYSICAL REVIEW A, 2001, 64 (05) :13
[3]   Exact and asymptotic measures of multipartite pure-state entanglement [J].
Bennett, Charles H., 2001, American Inst of Physics, Woodbury (63)
[4]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[5]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[6]   Persistent entanglement in arrays of interacting particles [J].
Briegel, HJ ;
Raussendorf, R .
PHYSICAL REVIEW LETTERS, 2001, 86 (05) :910-913
[7]  
BRIERLEY S, ARXIV07042961
[8]   Information-theoretic measure of genuine multiqubit entanglement [J].
Cai, Jian-Ming ;
Zhou, Zheng-Wei ;
Zhou, Xing-Xiang ;
Guo, Guang-Can .
PHYSICAL REVIEW A, 2006, 74 (04)
[9]   Entropy product measure for multipartite pure states [J].
Cao Wancang ;
Liu Dan ;
Pan Feng ;
Long Guilu .
SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY, 2006, 49 (05) :606-615
[10]   Bell-Klyshko inequalities to characterize maximally entangled states of n qubits [J].
Chen, ZQ .
PHYSICAL REVIEW LETTERS, 2004, 93 (11) :110403-1