Letters in Mathematical Physics

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

A General No-Cloning Theorem

  • Göran Lindblad
Article

Abstract

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. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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