Letters in Mathematical Physics

, Volume 47, Issue 2, pp 189–196 | Cite as

A General No-Cloning Theorem

  • Göran Lindblad


A simple theorem is proved which has most of the known no-cloning and no-broadcasting results as corollaries. It also implies the standard restrictions on measuring non-commuting observables.

quantum measurement quantum cloning. 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Wootters, W. K. and Zurek, W. H.: A single quantum cannot be cloned, Nature 299 (1982), 802.Google Scholar
  2. 2.
    Yuen, H. P.: Amplification of quantum states and noiseless photon amplifiers, Phys. Lett. A 113(8) (1986), 405–407.Google Scholar
  3. 3.
    Barnum, H., Caves, C. M., Fuchs, C. A., Jozsa R. and Schumacher, B.: Noncommuting mixed states cannot be broadcast, Phys. Rev. Lett. 76(15) (1996), 2818–2821.Google Scholar
  4. 4.
    Lieb, E. H. and Ruskai, M. B.: Some operator inequalities of the Schwarz type, Adv. Math. 12 (1974), 269–273.Google Scholar
  5. 5.
    Kraus, K.: States, Effects and Operations: Fundamental Notions of Quantum Theory, Springer-Verlag, Berlin, 1983.Google Scholar
  6. 6.
    Paulsen, V.I.: Completely Bounded Maps and Dilations, Longman Scientific, London, 1986.Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Göran Lindblad

There are no affiliations available

Personalised recommendations