Skip to main content
SpringerLink
Log in

Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

References

  1. M. E. Shirokov, Quantum Inf. Process. 14 (8), 3057 (2015).

    Article  MathSciNet  Google Scholar 

  2. G. Smith and J. Yard, Science 321 (5897), 1812 (2008).

    Article  MathSciNet  Google Scholar 

  3. R. Duan, Super-Activation of Zero-Error Capacity of Noisy Quantum Channels, arXiv: 0906.2527 (2009).

    Google Scholar 

  4. T. S. Cubitt, J. Chen, and A. W. Harrow, Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel, arXiv: 0906.2547 (2009).

    Google Scholar 

  5. R. Duan, S. Severini, and A. Winter, IEEE Trans. Inform. Theory 59 (2), 1164 (2013)

    Article  MathSciNet  Google Scholar 

  6. M. E. Shirokov and T. Shulman, Comm. Math. Phys. 335 (3), 1159 (2015).

    Article  MathSciNet  Google Scholar 

  7. M. E. Shirokov and T. V. Shulman, Problemy Peredachi Informatsii 50 (3), 35 (2014) [Probl. Inform. Transm. 50 (3), 232 (2014)].

    MathSciNet  Google Scholar 

  8. A. S. Holevo, Quantum Systems, Channels, Information: AMathematical Introduction, in De Gruyter Studies in Math. Phys. (De Gruyter, Berlin, 2012), vol. 16.

  9. A. S. Kholevo, Teor. Veroyatn. Primen. 51 (1), 133 (2006) [Theory Probab. Appl. 51 (1), 92 (2007)].

    Article  MathSciNet  Google Scholar 

  10. T. S. Cubitt, M. B. Ruskai, and G. Smith, J. Math. Phys. 49 (10) (2008).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

    G. G. Amosov

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia

    I. Yu. Zhdanovskii

  3. National Research University Higher School of Economics, Moscow, Russia

    I. Yu. Zhdanovskii

Authors
  1. G. G. Amosov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Yu. Zhdanovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. G. Amosov.

Additional information

Original Russian Text © G. G. Amosov, I. Yu. Zhdanovskii, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 6, pp. 929–932.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Amosov, G.G., Zhdanovskii, I.Y. Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity. Math Notes 99, 924–927 (2016). https://doi.org/10.1134/S000143461605031X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000143461605031X

Keywords

Search

Navigation