Skip to main content
SpringerLink
Log in

Superposition Representability Problems of Quantum Information Channels

  • Published:
Open Systems & Information Dynamics

Abstract

An operator-topological classification method of normal states is given. This result is applied to a study of method of representing normal states on tensor product operator algebras as the superpositions of normal states on subalgebras and quantum information channels. Finally, an entropy theoretic classification method of quantum Markov chains is given.

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.

Institutional subscriptions

Similar content being viewed by others

Bibliography

  1. L. Accardi, Advances Math. 20, 329 (1976).

    Google Scholar 

  2. L. Accardi and M. Ohya, Compound channels, transition expectations and liftings, to be published in J. Multivariate. Anal.

  3. A. N. Kolmogorov, Doklady Akad. Nauk SSSR 114, 679 (1957).

    Google Scholar 

  4. M. Nakamura and M. Takesaki, Kodai Math. Sem. Rep. 12, 82 (1960).

    Google Scholar 

  5. M. Ohya, J. Math. Anal. Appl. 100, 222 (1984).

    Google Scholar 

  6. M. Ohya and D. Petz, Quantum Entropy and Its Use, Springer Verlag, Berlin, 1993.

    Google Scholar 

  7. F. Riesz and B. Sz. Nagy, Leçcons d'analyse fonctionnelle, Akadémiai Kiadó, Budapest, 1968.

    Google Scholar 

  8. S. Sakai, C*-Algebras and W*-Algebras, Springer Verlag, Berlin, 1971.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Niigata University, 8050, 2-nomachi, Igarashi, Niigata-shi, 950-21, JAPAN

    Shigeo Akashi

Authors
  1. Shigeo Akashi
    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

Akashi, S. Superposition Representability Problems of Quantum Information Channels. Open Systems & Information Dynamics 4, 45–52 (1997). https://doi.org/10.1023/A:1009605501218

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1009605501218

Keywords

Search

Navigation