A COMPARATIVE STUDY OF NEGATIVITY AND CONCURRENCE BASED ON SPIN COHERENT STATES

被引：48
作者：
Berrada, K. [1 ]
El Baz, M. [1 ]
Eleuch, H. [2 ,3 ]
Hassouni, Y. [1 ]
机构：
[1] Univ Mohammed V Agdal, Phys Theor Lab, Fac Sci, Rabat, Morocco
[2] Texas A&M Univ, Inst Quantum Studies, College Stn, TX 77843 USA
[3] Texas A&M Univ, Dept Phys, College Stn, TX 77843 USA
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2010年 / 21卷 / 03期
关键词：
Quantum information; entanglement measures; spin coherent state; QUANTUM CRYPTOGRAPHY; ENTANGLEMENT; SEPARABILITY; PAIR;
D O I：
10.1142/S0129183110015129
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we investigate two different entanglement measures, the negativity and concurrence, in the case of pure and mixed states of two-qubit system basing on the spin coherent states. For two-qubit pure states, the negativity is the same as the concurrence. For mixed states, using a simplified expression of concurrence in Wootters' measure of entanglement, we write the bounds of Verstraete et al.(1) as a function of some new parameters and we compare the both measures for a class of mixed states.
引用
收藏
页码：291 / 305
页数：15
相关论文
共 48 条
[1]  
Ali ST., 2000, GRAD TEXT C, DOI 10.1007/978-1-4612-1258-4
[2]  
Bell J. S., 1964, Physics, V1, P195, DOI [10.1103/physicsphysiquefizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[3]  
Bennett C. H., 1992, Journal of Cryptology, V5, P3, DOI 10.1007/BF00191318
[4]  
Bennett C. H., 1999, PHYS REV LETT, V69, P2887
[5]   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
[6]   QUANTUM CRYPTOGRAPHY WITHOUT BELL THEOREM [J].
BENNETT, CH ;
BRASSARD, G ;
MERMIN, ND .
PHYSICAL REVIEW LETTERS, 1992, 68 (05) :557-559
[7]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[8]   Concurrence in the framework of coherent states [J].
Berrada, K. ;
Chafik, A. ;
Eleuch, H. ;
Hassouni, Y. .
QUANTUM INFORMATION PROCESSING, 2010, 9 (01) :13-26
[9]   Entanglement generation from deformed spin coherent states using a beam splitter [J].
Berrada, K. ;
El Baz, M. ;
Saif, F. ;
Hassouni, Y. ;
Mnia, S. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (28)
[10]   ENTANGLEMENT OF TWO-QUBIT NONORTHOGONAL STATES [J].
Berrada, K. ;
Chafik, A. ;
Eleuch, H. ;
Hassouni, Y. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (08) :2021-2027
12345