Skip to main content
SpringerLink
Log in

An entropy inequality for quantum measurements

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

It is proved that for an ideal quantum measurement the average entropy of the reduced states after the measurement is not greater than the entropy of the original state.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Neumann, J. von: Mathematical foundations of quantum mechanics. Princeton: University Press 1965.

    Google Scholar 

  2. Ruelle, D.: Statistical mechanics. New York: Benjamin 1969.

    Google Scholar 

  3. Groenewold, H.J.: Int. J. Theor. Phys.4, 327 (1971).

    Google Scholar 

  4. Lanford, O. E., Robinson, D. W.: J. Math. Phys.9, 1120 (1968).

    Google Scholar 

  5. Hardy, G. H., Littlewood, J. E., Polya, G.: Inequalities. Cambridge: University Press 1934.

    Google Scholar 

  6. Gohberg, I. C., Krein, M. G.: Introduction to the theory of linear nonselfadjoint operators. Providence: Am. Math. Soc. 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Theoretical Physics, Royal Institute of Technology, Stockholm, Sweden

    G. Lindblad

Authors
  1. G. Lindblad
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lindblad, G. An entropy inequality for quantum measurements. Commun.Math. Phys. 28, 245–249 (1972). https://doi.org/10.1007/BF01645778

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01645778

Keywords

Search

Navigation