Skip to main content
SpringerLink
Log in

Optimal State Determination: A Conjecture

  • Conference paper
Information Complexity and Control in Quantum Physics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 294))

  • 243 Accesses

Abstract

We consider state determination of simple quantum systems in non-relativistic quantum mechanics. Assuming that the ensemble in some unknown state is available in a sufficient number of replicas, it is possible to perform a state determination from the resultes of different, mutually noncom-mutative, measurements each one performed on a replica of the ensemble. In particulare, state determination is possible from the resultes of measurements of spin, position and energy. In the case of a finite collection of quantum systems any state determination is a finit sequence of measurements and their results and we conjecture that an optimal procedure may exist

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Pauli, W., Die Allgemeinen Prinzipien der Wellenmechanik, Handbuch der Physik V. Springer-Verlag, Berlin, 1958, p.17

    Google Scholar 

  2. Park, J.L. and W. Band., Found.Phys., 1, 211(1971)

    Article  ADS  MathSciNet  Google Scholar 

  3. Band, W. and J.L. Park, Found. Phys., 1, 339 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  4. Band, W.and J.L. Park, Am. J.Phys., 47, 188 (1979)

    Article  ADS  Google Scholar 

  5. Fano, U., Rev.Mod.Phys., 29, 74(1957)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. von Neumann, J. Mathematical Foundations of Quantum Mechanics, Princeton Univ.Press, Princeton 1955, p.351

    MATH  Google Scholar 

  7. Ivanovic, I.D. J.Phys.A 14, 3241(1981)

    Article  ADS  MathSciNet  Google Scholar 

  8. Ivanovic, I.D. J.Math.Phys., 24, 1199 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  9. Wichraann, E.H., J.Math.Phys., 4, 384(1963)

    Google Scholar 

  10. Ivanovic, I.D., J.Phys.A, 17, 2217(1984)

    Article  ADS  MathSciNet  Google Scholar 

  11. Jaynes, E.T. Phys.Rev., 106, 620(1957)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Bloore, F. J. J.Phys. A, 9, 2059 (1976)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Sciences, Belgrade, Yugoslavia

    Igor D. Ivanović

Authors
  1. Igor D. Ivanović
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

A. Blaquiere S. Diner G. Lochak

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Wien

About this paper

Cite this paper

Ivanović, I.D. (1987). Optimal State Determination: A Conjecture. In: Blaquiere, A., Diner, S., Lochak, G. (eds) Information Complexity and Control in Quantum Physics. International Centre for Mechanical Sciences, vol 294. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2971-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2971-5_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81992-0

  • Online ISBN: 978-3-7091-2971-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation