A remark on the optimal cloning of an N-level quantum system

被引:9
|
作者
Albeverio, S [1 ]
Fei, SM
机构
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
[2] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany
[3] Chinese Acad Sci, Inst Phys, Beijing 100080, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL B | 2000年 / 14卷 / 04期
关键词
D O I
10.1007/s100510051077
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We study quantum cloning machines (QCM) that act on an unknown N-level quantum state and make M copies. We give a formula for the maximum of the fidelity of cloning and exhibit the unitary transformations that realize this optimal fidelity. We also extend the results to treat the case of nl copies from N' (M > N') identical N-level quantum systems.
引用
收藏
页码:669 / 672
页数:4
相关论文
共 50 条
  • [21] Robust steering of n-level quantum systems
    Ticozzi, F
    Ferrante, A
    Pavon, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (10) : 1742 - 1745
  • [22] INVARIANTS OF MOTION FOR AN N-LEVEL SYSTEM
    MALLESH, KS
    RAMACHANDRAN, G
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1989, 22 (14) : 2311 - 2318
  • [23] Interaction between two two-level atoms coupled to N-level quantum system
    Obada, A. -S. F.
    Al Naim, Abdullah F.
    Khalil, E. M.
    Abdel-Khalek, S.
    Eleuch, H.
    OPTICAL AND QUANTUM ELECTRONICS, 2019, 51 (08)
  • [24] Interaction between two two-level atoms coupled to N-level quantum system
    A.-S. F. Obada
    Abdullah F. Al Naim
    E. M. Khalil
    S. Abdel-Khalek
    H. Eleuch
    Optical and Quantum Electronics, 2019, 51
  • [25] On Families of Wigner Functions for N-Level Quantum Systems
    Abgaryan, Vahagn
    Khvedelidze, Arsen
    SYMMETRY-BASEL, 2021, 13 (06):
  • [26] Weak classicality in coupled N-level quantum systems
    Radha Pyari Sandhir
    V. Ravishankar
    The European Physical Journal D, 2019, 73
  • [27] Weak classicality in coupled N-level quantum systems
    Sandhir, Radha Pyari
    Ravishankar, V.
    EUROPEAN PHYSICAL JOURNAL D, 2019, 73 (06):
  • [28] On the problem of maximizing the transition probability in an n-level quantum system using nonselective measurements
    Alexander N. Pechen
    Nikolay B. Il’in
    Proceedings of the Steklov Institute of Mathematics, 2016, 294 : 233 - 240
  • [29] Nonlinear Description of Quantum Dynamics. N-level quantum systems
    Cruz-Prado, Hans
    Marmo, Giuseppe
    Schuch, Dieter
    SYMMETRIES IN SCIENCE XVIII, 2020, 1612
  • [30] Design of flying capacitors for n-level FC and n-level SMC
    Bressan, Marcos Vinicius
    Rech, Cassiano
    Batschauer, Alessandro Luiz
    INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 2019, 113 : 220 - 228