Skip to main content

Quantum Measurement, Information, and Completely Positive Maps

  • Chapter
Quantum Communication, Computing, and Measurement 3
  • 761 Accesses

Abstract

Axiomatic approach to measurement theory is developed. All the possible statistical properties of apparatuses measuring an observable with nondegenerate spectrum allowed in standard quantum mechanics are characterized.

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.

References

  1. C. W. Helstrom, Quantum Detection and Estimation Theory, Academic Press, New York, 1976.

    Google Scholar 

  2. E. B. Davies, Quantum Theory of Open Systems, Academic Press, London, 1976.

    MATH  Google Scholar 

  3. M. Ozawa, Reports on Math. Phys. 18, 11 (1980).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam, 1982.

    MATH  Google Scholar 

  5. M. Ozawa, J. Math. Phys. 25, 79 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  6. R. Haag and D. Kastler, J. Math. Phys. 5, 848 (1964).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  7. E. B. Davies and J. T. Lewis, Commun. Math. Phys. 17, 239 (1970).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  8. M. Ozawa, Operations, disturbance, and simultaneous measurability, [online preprint: LANL quant-ph/0005054].

    Google Scholar 

  9. M. Ozawa, in Probability Theory and Mathematical Statistics, edited by K. Itô and J. V. Prohorov, pages 518–525, Lecture Notes in Math. 1021, Springer, Berlin, (1983).

    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

Ozawa, M. (2002). Quantum Measurement, Information, and Completely Positive Maps. In: Tombesi, P., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 3. Springer, Boston, MA. https://doi.org/10.1007/0-306-47114-0_15

Download citation

  • DOI: https://doi.org/10.1007/0-306-47114-0_15

  • 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