Noninvertibility as a requirement for creating a semigroup under convex combinations of channels

Vinayak Jagadish, R. Srikanth, and Francesco Petruccione
Phys. Rev. A 105, 032422 – Published 10 March 2022
PDFHTMLExport Citation
Abstract
Authors
Article Text
  • INTRODUCTION
  • PAULI DEPHASING CHANNELS
  • GENERALIZED PAULI CHANNELS
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    We study the conditions under which a semigroup is obtained upon convex combinations of channels. In particular, we study the set of Pauli and generalized Pauli channels. We find that mixing only semigroups can never produce a semigroup. Counterintuitively, we find that for a convex combination to yield a semigroup, most of the input channels have to be noninvertible.

    • Received 1 December 2021
    • Accepted 23 February 2022

    DOI:https://doi.org/10.1103/PhysRevA.105.032422

    ©2022 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Open quantum systems & decoherenceQuantum channels
    Quantum Information, Science & Technology

    Authors & Affiliations

    Vinayak Jagadish1,*, R. Srikanth2, and Francesco Petruccione3,4

    • 1Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Kraków, Poland
    • 2Poornaprajna Institute of Scientific Research, Bangalore 560 080, India
    • 3Quantum Research Group, School of Chemistry and Physics, University of KwaZulu-Natal, Durban 4001, South Africa
    • 4National Institute for Theoretical and Computational Sciences (NITheCS), Durban 4001, South Africa

    • *vinayak.jagadish@uj.edu.pl

    Article Text (Subscription Required)

    Click to Expand

    References (Subscription Required)

    Click to Expand
    Issue

    Vol. 105, Iss. 3 — March 2022

    Reuse & Permissions
    Access Options
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required

    Log In
    Other Options
    ×

    Download & Share

    PDFExportReuse & PermissionsCiting Articles (5)
    ×

    Images

    ×

    Sign up to receive regular email alerts from Physical Review A

    Log In

    Cancel
    ×

    Search

    Article Lookup

    Paste a citation or DOI
    Enter a citation
    ×