Measure of invertible dynamical maps under convex combinations of noninvertible dynamical maps

Vinayak Jagadish, R. Srikanth, and Francesco Petruccione
Phys. Rev. A 106, 012438 – Published 28 July 2022

Abstract

We study the convex combinations of the (d+1)-generalized Pauli dynamical maps in a Hilbert space of dimension d. For certain choices of the decoherence function, the maps are noninvertible, and they remain under convex combinations as well. For the case of dynamical maps characterized by the decoherence function (1ect)/n with the decoherence parameter n and decay factor c, we evaluate the fraction of invertible maps obtained upon mixing, which is found to increase superexponentially with dimension d.

  • Figure
  • Received 17 January 2022
  • Revised 6 May 2022
  • Accepted 11 July 2022

DOI:https://doi.org/10.1103/PhysRevA.106.012438

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Vinayak Jagadish1,*, R. Srikanth2, and Francesco Petruccione3,4,5

  • 1Institute of Theoretical Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348 Kraków, Poland
  • 2Theoretical Sciences Division, Poornaprajna Institute of Scientific Research (PPISR), Bidalur post, Devanahalli, Bengaluru 562164, India
  • 3School for Data Science and Computational Thinking, Stellenbosch University, Stellenbosch 7600, South Africa
  • 4National Institute for Theoretical and Computational Sciences (NITheCS), Stellenbosch 7600, South Africa
  • 5Quantum Research Group, School of Chemistry and Physics, University of KwaZulu-Natal, Durban 4001, South Africa

  • *vinayak.jagadish@uj.edu.pl

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Issue

Vol. 106, Iss. 1 — July 2022

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