Work

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

Year: 2022

Type: article

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 $(1\ensuremath{-}{e}^{\ensuremath{-}ct})/n$ 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 $d$.

Source: Physical Review A

DOI: 10.1103/physreva.106.012438

Authors: Vinayak Jagadish, R. Srikanth, Francesco Petruccione

Institutions: Jagiellonian University, Poornaprajna Institute of Scientific Research, Stellenbosch University, University of KwaZulu-Natal

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, Department of Science and Technology, Ministry of Science and Technology, India, Fundacja na rzecz Nauki Polskiej