Phase-covariant quantum cloning of qudits

被引:105
作者
Fan, H [1 ]
Imai, H [1 ]
Matsumoto, K [1 ]
Wang, XB [1 ]
机构
[1] Japan Sci & Technol Corp, ERATO, Quantum Computat & Quantum Informat Project, Bunkyo Ku, Tokyo 1330033, Japan
来源
PHYSICAL REVIEW A | 2003年 / 67卷 / 02期
关键词
D O I
10.1103/PhysRevA.67.022317
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the phase-covariant quantum cloning machine for qudits, i.e., the input states in a d-level quantum system have complex coefficients with arbitrary phase but constant module. A cloning unitary transformation is proposed. After optimizing the fidelity between input state and single qudit reduced density operator of output state, we obtain the optimal fidelity for 1 to 2 phase-covariant quantum cloning of qudits and the corresponding cloning transformation.
引用
收藏
页数:5
相关论文
共 29 条
  • [1] BANDYOPADHYAY S, QUANTPH0103162
  • [2] Noncommuting mixed states cannot be broadcast
    Barnum, H
    Caves, CM
    Fuchs, CA
    Jozsa, R
    Schumacher, B
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (15) : 2818 - 2821
  • [3] Bennett C. H., 1984, PROC IEEE INT C COMP, P175, DOI [DOI 10.1016/J.TCS.2014.05.025, 10.1016/j.tcs.2014.05.025]
  • [4] Optimal eavesdropping in quantum cryptography with six states
    Bruss, D
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (14) : 3018 - 3021
  • [5] Optimal universal and state-dependent quantum cloning
    Bruss, D
    DiVincenzo, DP
    Ekert, A
    Fuchs, CA
    Macchiavello, C
    Smolin, JA
    [J]. PHYSICAL REVIEW A, 1998, 57 (04): : 2368 - 2378
  • [6] Optimal state estimation for d-dimensional quantum systems
    Bruss, D
    Macchiavello, C
    [J]. PHYSICS LETTERS A, 1999, 253 (5-6) : 249 - 251
  • [7] Optimal universal quantum cloning and state estimation
    Bruss, D
    Ekert, A
    Macchiavello, C
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (12) : 2598 - 2601
  • [8] Bruss D, 2000, PHYS REV A, V62, DOI [10.1103/PhysRevA.62.012302, 10.1103/PhysRevA.62.062302]
  • [9] Quantum copying: A network
    Buzek, V
    Braunstein, SL
    Hillery, M
    Bruss, D
    [J]. PHYSICAL REVIEW A, 1997, 56 (05): : 3446 - 3452
  • [10] Universal optimal cloning of arbitrary quantum states: From qubits to quantum registers
    Buzek, V
    Hillery, M
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (22) : 5003 - 5006