Entanglement for a two-parameter class of states in 2 ⊗ n quantum system

被引:25
作者
Chi, DP [1 ]
Lee, S
机构
[1] Seoul Natl Univ, Sch Math Sci, Seoul 151742, South Korea
[2] Korea Inst Adv Study, Sch Computat Sci, Seoul 130722, South Korea
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 45期
关键词
D O I
10.1088/0305-4470/36/45/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We exhibit a two-parameter class of states rho(alpha,gamma) in a 2 circle times n quantum system for n greater than or equal to 3, which can be obtained from an arbitrary state by means of local quantum operations and classical communication, and which are invariant under all bilateral operations on a 10 n quantum system. We calculate the negativity of p(alpha,gamma), and a lower bound and a tight upper bound on its entanglement of formation. It follows from this calculation that the entanglement of formation of rho(alpha,gamma) cannot exceed its negativity.
引用
收藏
页码:11503 / 11511
页数:9
相关论文
共 20 条
[1]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[2]   A lower bound on entanglement of formation of 2 ⊗ n system [J].
Chen, PX ;
Liang, LM ;
Li, CZ ;
Huang, MQ .
PHYSICS LETTERS A, 2002, 295 (04) :175-177
[3]   Distillability and partial transposition in bipartite systems -: art. no. 062313 [J].
Dür, W ;
Cirac, JI ;
Lewenstein, M ;
Bruss, D .
PHYSICAL REVIEW A, 2000, 61 (06) :8
[4]   Lower bound on entanglement of formation for the qubit-qudit system [J].
Gerjuoy, E .
PHYSICAL REVIEW A, 2003, 67 (05) :10
[5]   Entanglement of a pair of quantum bits [J].
Hill, S ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1997, 78 (26) :5022-5025
[6]   Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature? [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5239-5242
[7]   Separability of mixed states: Necessary and sufficient conditions [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICS LETTERS A, 1996, 223 (1-2) :1-8
[8]  
Horodecki M, 2001, QUANTUM INF COMPUT, V1, P3
[9]   Separability criterion and inseparable mixed states with positive partial transposition [J].
Horodecki, P .
PHYSICS LETTERS A, 1997, 232 (05) :333-339
[10]   A COMPLETE CLASSIFICATION OF QUANTUM ENSEMBLES HAVING A GIVEN DENSITY-MATRIX [J].
HUGHSTON, LP ;
JOZSA, R ;
WOOTTERS, WK .
PHYSICS LETTERS A, 1993, 183 (01) :14-18