Quantum cloning with multicopy in d-dimensions

被引:2
作者
Zhang WenHai [1 ]
Yu LongBao [2 ]
Yang Ming [3 ]
Cao ZhuoLiang [2 ,3 ]
机构
[1] Huainan Normal Univ, Dept Phys, Huainan 232038, Peoples R China
[2] Hefei Teachers Coll, Dept Phys & Elect Engn, Hefei 230061, Peoples R China
[3] Anhui Univ, Sch Phys & Mat Sci, Hefei 230039, Peoples R China
来源
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2011年 / 54卷 / 12期
基金
中国国家自然科学基金;
关键词
quantum cloning; universal quantum cloning; phase-covariant quantum cloning; economical phase-covariant quantum cloning; PURE STATES; CRYPTOGRAPHY;
D O I
10.1007/s11433-011-4540-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The explicit transformations of the 1 -> 3 optimal universal quantum cloning and the optimal phase-covariant quantum cloning in d-dimensions are presented, and the dimensionalities of their ancillary systems are both d-dimensions. As d -> a, their clone fidelities move toward 1/3, showing a classical limit for the fidelity of quantum cloning. Based on the reduction of the unitary transformation of quantum cloning, the transformation of the 1 -> M=d+1 optimal economical phase-covariant quantum cloning in d-dimensions is derived, and the clone fidelity is covered by the theoretical value.
引用
收藏
页码:2217 / 2224
页数:8
相关论文
共 28 条
[1]  
Bruss D, 2000, PHYS REV A, V62, DOI [10.1103/PhysRevA.62.062302, 10.1103/PhysRevA.62.012302]
[2]   Economical phase-covariant cloning of qudits [J].
Buscemi, F ;
D'Ariano, GM ;
Macchiavello, C .
PHYSICAL REVIEW A, 2005, 71 (04)
[3]   Universal optimal cloning of arbitrary quantum states: From qubits to quantum registers [J].
Buzek, V ;
Hillery, M .
PHYSICAL REVIEW LETTERS, 1998, 81 (22) :5003-5006
[4]   Quantum copying: Beyond the no-cloning theorem [J].
Buzek, V ;
Hillery, M .
PHYSICAL REVIEW A, 1996, 54 (03) :1844-1852
[5]   Pauli cloning of a quantum bit [J].
Cerf, NJ .
PHYSICAL REVIEW LETTERS, 2000, 84 (19) :4497-4500
[6]   Optimal Cloning of Unitary Transformation [J].
Chiribella, Giulio ;
D'Ariano, Giacomo Mauro ;
Perinotti, Paolo .
PHYSICAL REVIEW LETTERS, 2008, 101 (18)
[7]   Optimal phase-covariant cloning for qubits and qutrits [J].
D'Ariano, GM ;
Macchiavello, C .
PHYSICAL REVIEW A, 2003, 67 (04) :9
[8]   Sequential quantum cloning [J].
Delgado, Y. ;
Lamata, L. ;
Leon, J. ;
Salgado, D. ;
Solano, E. .
PHYSICAL REVIEW LETTERS, 2007, 98 (15)
[9]  
ENK SJ, 2005, PHYS REV LETT, V95
[10]   Phase-covariant quantum cloning of qudits [J].
Fan, H ;
Imai, H ;
Matsumoto, K ;
Wang, XB .
PHYSICAL REVIEW A, 2003, 67 (02) :5