Skip to main content

Abstract

We show that universally covariant cloning is not optimal for achieving joint measurements of noncommuting observables with minimum added noise. For such a purpose a cloning transformation that is covariant with respect to a restricted transformation group is needed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. W. K. Wootters and W. H. Zurek, Nature 299, 802 (1982); H. P. Yuen, Phys. Leu. A 113, 405 (1986).

    Article  ADS  Google Scholar 

  2. V. Bužek and M. Hillery, Phys. Rev. A 54, 1844 (1996); N. Gisin and S. Massar, Phys. Rev. Lett. 79, 2153 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  3. D. Bruß D. DiVincenzo, A. Ekert, C. Fuchs, C. Macchiavello and J. Smolin, Phys. Rev. A 57, 2368 (1998); D. Bruß A. Ekert and C. Macchiavello, Phys. Rev. Lett. 81, 2598 (1998).

    Article  ADS  Google Scholar 

  4. R. Werner, Phys. Rev. A 58, 1827 (1998).

    Article  ADS  Google Scholar 

  5. N. Gisin and S. Massar, Phys. Rev. Lett. 79, 2153 (1997); N. Gisin and B. Huttner, Phys. Lett. A228, 13 (1997).

    Article  ADS  Google Scholar 

  6. A. Perelomov, Generalized coherent states and their applications, Springer-Verlag (1986).

    Google Scholar 

  7. G. M. D’Ariano, C. Macchiavello, and M. F. Sacchi, quant-ph/0007062.

    Google Scholar 

  8. N. J. Cerf, A. Ipe, and X. Rottenberg, Phys. Rev. Lett. 85, 1754 (2000).

    Article  ADS  Google Scholar 

  9. G. M. D’Ariano, F. De Martini, and M. F. Sacchi, submitted to Phys. Rev. Lett., 2000.

    Google Scholar 

  10. H. P. Yuen, Phys. Lett. 91A, 101 (1982).

    ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

D’Ariano, G.M., Sacchi, M.F. (2002). Quantum Cloning Optimal for Joint Measurements. In: Tombesi, P., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 3. Springer, Boston, MA. https://doi.org/10.1007/0-306-47114-0_26

Download citation

  • DOI: https://doi.org/10.1007/0-306-47114-0_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46609-0

  • Online ISBN: 978-0-306-47114-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics