Classical no-cloning theorem

被引：44
|
作者：
Daffertshofer, A
Plastino, AR
Plastino, A
机构：
[1] Free Univ Amsterdam, Fac Human Movement Sci, NL-1081 BT Amsterdam, Netherlands
[2] Natl Univ La Plata, Fac Astron & Geophys, CONICET, RA-1900 La Plata, Argentina
[3] Natl Univ La Plata, Dept Phys, CONICET, RA-1900 La Plata, Argentina
来源：
PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 21期
关键词：
D O I：
10.1103/PhysRevLett.88.210601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A classical version of the no-cloning theorem is discussed. We show that an arbitrary probability distribution associated with a (source) system cannot be copied onto another (target) system while leaving the original distribution of the source system unperturbed. For classical dynamical systems such a perfect cloning process is not permitted by the Liouvillian (ensemble) evolution associated with the joint probability distribution of the composite source-target-copying machine system.
引用
收藏
页数：4
相关论文
共 50 条
  • [41] Simple formulation of no-cloning and no-hiding that admits efficient and robust verification
    Girling, Matthew
    Cirstoiu, Cristina
    Jennings, David
    PHYSICAL REVIEW RESEARCH, 2024, 6 (02):
  • [42] Surpassing the no-cloning limit with a heralded hybrid linear amplifier for coherent states
    Haw, Jing Yan
    Zhao, Jie
    Dias, Josephine
    Assad, Syed M.
    Bradshaw, Mark
    Blandino, Remi
    Symul, Thomas
    Ralph, Timothy C.
    Lam, Ping Koy
    NATURE COMMUNICATIONS, 2016, 7
  • [43] Surpassing the no-cloning limit with a heralded hybrid linear amplifier for coherent states
    Jing Yan Haw
    Jie Zhao
    Josephine Dias
    Syed M. Assad
    Mark Bradshaw
    Rémi Blandino
    Thomas Symul
    Timothy C. Ralph
    Ping Koy Lam
    Nature Communications, 7
  • [44] The No-Cloning Life: Uniqueness and Complementarity in Quantum and Quantum-like Theories
    Plotnitsky, Arkady
    ENTROPY, 2023, 25 (05)
  • [45] Impossibility of reversing or complementing an unknown quantum state and a general no-cloning principle
    Li, DF
    Li, XR
    Huang, HT
    Li, XX
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2005, 3 (03) : 551 - 554
  • [46] No-cloning and no-deleting theorems through the existence of incomparable states under LOCC
    Bhar, Amit
    Chattopadhyay, Indrani
    Sarkar, Debasis
    QUANTUM INFORMATION PROCESSING, 2007, 6 (02) : 93 - 99
  • [47] QUANTUM RANDOMIZED ENCODING, VERIFICATION OF QUANTUM COMPUTING, NO-CLONING, AND BLIND QUANTUM COMPUTING
    Morimae, Tomoyuki
    QUANTUM INFORMATION & COMPUTATION, 2021, 21 (13-14) : 1111 - 1134
  • [48] Quantum randomized encoding, verification of quantum computing, no-cloning, and blind quantum computing
    Morimae T.
    Quantum Information and Computation, 2021, 21 (13-14): : 1111 - 1134
  • [49] Teleportation of qubit states through dissipative channels:: Conditions for surpassing the no-cloning limit
    Ozdemir, Sahin Kaya
    Bartkiewicz, Karol
    Liu, Yu-xi
    Miranowicz, Adam
    PHYSICAL REVIEW A, 2007, 76 (04):
  • [50] No-Cloning and No-Deleting Theorems through the Existence of Incomparable States Under LOCC
    Amit Bhar
    Indrani Chattopadhyay
    Debasis Sarkar
    Quantum Information Processing, 2007, 6 : 93 - 99
12345