Entanglement of formation of an arbitrary state of two qubits

被引:7043
作者
Wootters, WK [1 ]
机构
[1] Williams Coll, Dept Phys, Williamstown, MA 01267 USA
关键词
D O I
10.1103/PhysRevLett.80.2245
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state rho is the minimum average entanglement of an ensemble of pure states that represents rho. An earlier paper conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula for special states. The present paper extends the proof to arbitrary states of this system and shows hew to construct entanglement-minimizing decompositions.
引用
收藏
页码:2245 / 2248
页数:4
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共 23 条
[1]  
Bell JS, 1964, Physics, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195]
[2]  
Benatti F., 1996, Reports on Mathematical Physics, V38, P123, DOI 10.1016/0034-4877(96)87681-6
[3]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[4]   Purification of noisy entanglement and faithful teleportation via noisy channels [J].
Bennett, CH ;
Brassard, G ;
Popescu, S ;
Schumacher, B ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1996, 76 (05) :722-725
[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]  
CERF NJ, QUANTPH9605039
[7]   QUANTUM COMPUTATION [J].
DIVINCENZO, DP .
SCIENCE, 1995, 270 (5234) :255-261
[8]   Optimal eavesdropping in quantum cryptography .1. Information bound and optimal strategy [J].
Fuchs, CA ;
Gisin, N ;
Griffiths, RB ;
Niu, CS ;
Peres, A .
PHYSICAL REVIEW A, 1997, 56 (02) :1163-1172
[9]   PROPERTIES OF MIXTURES ON NON-ORTHOGONAL STATES [J].
HADJISAVVAS, N .
LETTERS IN MATHEMATICAL PHYSICS, 1981, 5 (04) :327-332
[10]   Entanglement of a pair of quantum bits [J].
Hill, S ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1997, 78 (26) :5022-5025