Optimal nonuniversally covariant cloning

被引：93
作者：
D'Ariano, GM
Lo Presti, P
机构：
[1] Univ Pavia, Theoret Quantum Opt Grp, I-27100 Pavia, Italy
[2] INFM, Unita Pavia, I-27100 Pavia, Italy
来源：
PHYSICAL REVIEW A | 2001年 / 64卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.64.042308
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We consider nonuniversal cloning maps, namely, cloning transformations that are covariant under a proper subgroup G of the universal unitary group U(d), where d is the dimension of the Hilbert space H of the system to be cloned. We give a general method for optimizing cloning for any cost function. Examples of applications are given for phase-covariant cloning (cloning of equatorial qubits and qutrits) and for the Weyl-Heisenberg group (cloning of "continuous variables").
引用
收藏
页数：8
相关论文
共 23 条
  • [1] [Anonymous], 1996, Matrix Analysis
  • [2] Quantum cloning and distributed measurements -: art. no. 042308
    Bruss, D
    Calsamiglia, J
    Lütkenhaus, N
    [J]. PHYSICAL REVIEW A, 2001, 63 (04): : 1 - 9
  • [3] Optimal universal quantum cloning and state estimation
    Bruss, D
    Ekert, A
    Macchiavello, C
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (12) : 2598 - 2601
  • [4] Bruss D, 2000, PHYS REV A, V62, DOI [10.1103/PhysRevA.62.012302, 10.1103/PhysRevA.62.062302]
  • [5] Quantum copying: Beyond the no-cloning theorem
    Buzek, V
    Hillery, M
    [J]. PHYSICAL REVIEW A, 1996, 54 (03): : 1844 - 1852
  • [6] Cloning of continuous quantum variables
    Cerf, NJ
    Ipe, A
    Rottenberg, X
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (08) : 1754 - 1757
  • [7] Equivalence between squeezed-state and twin-beam communication channels
    D'Ariano, GM
    Sacchi, MF
    [J]. MODERN PHYSICS LETTERS B, 1997, 11 (29): : 1263 - 1275
  • [8] Bell measurements and observables
    D'Ariano, GM
    Lo Presti, P
    Sacchi, MF
    [J]. PHYSICS LETTERS A, 2000, 272 (1-2) : 32 - 38
  • [9] Joint measurements via quantum cloning
    D'Ariano, GM
    Macchiavello, C
    Sacchi, MF
    [J]. JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2001, 3 (02) : 44 - 50
  • [10] Continuous variable cloning via network of parametric gates
    D'Ariano, GM
    De Martini, F
    Sacchi, MF
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (05) : 914 - 917
123