Mixed state dense coding and its relation to entanglement measures

被引:109
作者
Bose, S [1 ]
Plenio, MB
Vedral, V
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Opt Sect, London SW7 2BZ, England
[2] Univ Oxford, Clarendon Lab, Ctr Quantum Comp, Oxford OX1 3PU, England
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1080/095003400148213
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Ideal dense coding protocols allow one to use prior maximal entanglement to send two bits of classical information by the physical transfer of a single encoded qubit. We investigate the case when the Drier entanglement is not maximal and the initial state of the entangled pair of qubits being used for the dense coding is a mixed state. We find upper and lower bounds on the capability to do dense coding in terms of the various measures of entanglement. Our results can also be reinterpreted as giving bounds on purification procedures in terms of dense coding capacities.
引用
收藏
页码:291 / 310
页数:20
相关论文
共 30 条
[1]  
[Anonymous], P INT SCH PHYS E FER
[2]   DENSE CODING BASED ON QUANTUM ENTANGLEMENT [J].
BARENCO, A ;
EKERT, AK .
JOURNAL OF MODERN OPTICS, 1995, 42 (06) :1253-1259
[3]   COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].
BENNETT, CH ;
WIESNER, SJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884
[4]   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
[5]  
Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[6]   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
[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]   Multiparticle generalization of entanglement swapping [J].
Bose, S ;
Vedral, V ;
Knight, PL .
PHYSICAL REVIEW A, 1998, 57 (02) :822-829
[9]   Quantum privacy amplification and the security of quantum cryptography over noisy channels [J].
Deutsch, D ;
Ekert, A ;
Jozsa, R ;
Macchiavello, C ;
Popescu, S ;
Sanpera, A .
PHYSICAL REVIEW LETTERS, 1996, 77 (13) :2818-2821
[10]   FURTHER RESULTS ON THE RELATIVE ENTROPY [J].
DONALD, MJ .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 101 :363-373