Optimal Cloning of Unitary Transformation

被引:57
|
作者
Chiribella, Giulio [1 ]
D'Ariano, Giacomo Mauro
Perinotti, Paolo
机构
[1] Dipartimento Fis A Volta, QUIT Grp, I-27100 Pavia, Italy
关键词
D O I
10.1103/PhysRevLett.101.180504
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greatly outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] MATRIX ELEMENTS OF LORENZ TRANSFORMATION FOR UNITARY REPRESENTATION
    VONGDYK, D
    VANKHEU, N
    DOKLADY AKADEMII NAUK SSSR, 1967, 173 (06): : 1281 - &
  • [42] Applications of the unitary transformation method in nuclear physics
    Shebeko, AV
    Shirokov, MI
    PROCEEDINGS OF THE EUROPEAN CONFERENCE ON ADVANCES IN NUCLEAR PHYSICS AND RELATED AREAS, 1999, : 292 - 302
  • [43] Right-unitary transformation theory and applications
    Tang, Z
    PHYSICAL REVIEW A, 1996, 54 (01) : 154 - 173
  • [44] Unitary transformation for the system of a particle in a linear potential
    Song, DY
    EUROPHYSICS LETTERS, 2003, 62 (05): : 622 - 628
  • [45] DEPENDENCE OF CENTRIFUGAL CONSTANTS ON PARAMETERS OF A UNITARY TRANSFORMATION
    TOLMACHE.VI
    OPTIKA I SPEKTROSKOPIYA, 1973, 35 (06): : 1181 - 1184
  • [46] Unitary operator generating the Bogolyubov canonical transformation
    Arinshtein E.A.
    Russian Physics Journal, 2006, 49 (5) : 563 - 565
  • [48] Automating Cloning by Natural Transformation
    Jiang, Xinglin
    Palazzotto, Emilia
    Wybraniec, Ewa
    Munro, Lachlan Jake
    Zhang, Haibo
    Kell, Douglas B.
    Weber, Tilmann
    Lee, Sang Yup
    ACS SYNTHETIC BIOLOGY, 2020, 9 (12): : 3228 - 3235
  • [49] Transformation of Attributed Structures with Cloning
    Duval, Dominique
    Echahed, Rachid
    Prost, Frederic
    Ribeiro, Leila
    FUNDAMENTAL APPROACHES TO SOFTWARE ENGINEERING, FASE 2014, 2014, 8411 : 310 - 324
  • [50] Optimal Paths for Symmetric Actions in the Unitary Group
    Jorge Antezana
    Gabriel Larotonda
    Alejandro Varela
    Communications in Mathematical Physics, 2014, 328 : 481 - 497