Complete hyperentangled-Bell-state analysis for quantum communication

被引:349
作者
Sheng, Yu-Bo [1 ,2 ,3 ]
Deng, Fu-Guo [2 ]
Long, Gui Lu [1 ,4 ,5 ]
机构
[1] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
[2] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
[3] Beijing Normal Univ, Coll Nucl Sci & Technol, Beijing 100875, Peoples R China
[4] Tsinghua Univ, Ctr Atom & Mol NanoSci, Beijing 100084, Peoples R China
[5] Key Lab Quantum Informat & Measurements, Beijing 100084, Peoples R China
来源
PHYSICAL REVIEW A | 2010年 / 82卷 / 03期
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
ENTANGLEMENT; TELEPORTATION; CRYPTOGRAPHY; REPEATERS; PHOTONS;
D O I
10.1103/PhysRevA.82.032318
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is impossible to unambiguously distinguish the four Bell states in polarization, resorting to linear optical elements only. Recently, the hyperentangled Bell state, the simultaneous entanglement in more than one degree of freedom, has been used to assist in the complete Bell-state analysis of the four Bell states. However, if the additional degree of freedom is qubitlike, one can only distinguish 7 from the group of 16 states. Here we present a way to distinguish the hyperentangled Bell states completely with the help of cross-Kerr nonlinearity. Also, we discuss its application in the quantum teleportation of a particle in an unknown state in two different degrees of freedom and in the entanglement swapping of hyperentangled states. These applications will increase the channel capacity of long-distance quantum communication.
引用
收藏
页数:8
相关论文
共 62 条
[1]   Complete and deterministic discrimination of polarization Bell states assisted by momentum entanglement [J].
Barbieri, M. ;
Vallone, G. ;
Mataloni, P. ;
De Martini, F. .
PHYSICAL REVIEW A, 2007, 75 (04)
[2]   Polarization-momentum hyperentangled states: Realization and characterization [J].
Barbieri, M ;
Cinelli, C ;
Mataloni, P ;
De Martini, F .
PHYSICAL REVIEW A, 2005, 72 (05)
[3]   Generation of hyperentangled photon pairs [J].
Barreiro, JT ;
Langford, NK ;
Peters, NA ;
Kwiat, PG .
PHYSICAL REVIEW LETTERS, 2005, 95 (26)
[4]   Beating the channel capacity limit for linear photonic superdense coding [J].
Barreiro, Julio T. ;
Wei, Tzu-Chieh ;
Kwiat, Paul G. .
NATURE PHYSICS, 2008, 4 (04) :282-286
[5]   Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities [J].
Barrett, SD ;
Kok, P ;
Nemoto, K ;
Beausoleil, RG ;
Munro, WJ ;
Spiller, TP .
PHYSICAL REVIEW A, 2005, 71 (06)
[6]   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
[7]   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
[8]   QUANTUM CRYPTOGRAPHY WITHOUT BELL THEOREM [J].
BENNETT, CH ;
BRASSARD, G ;
MERMIN, ND .
PHYSICAL REVIEW LETTERS, 1992, 68 (05) :557-559
[9]   Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels [J].
Boschi, D ;
Branca, S ;
De Martini, F ;
Hardy, L ;
Popescu, S .
PHYSICAL REVIEW LETTERS, 1998, 80 (06) :1121-1125
[10]   Multiparticle generalization of entanglement swapping [J].
Bose, S ;
Vedral, V ;
Knight, PL .
PHYSICAL REVIEW A, 1998, 57 (02) :822-829