Work

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

Year: 2022

Type: article

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.

Source: Physical Review A

DOI: 10.1103/physreva.105.032422

Authors: Vinayak Jagadish, R. Srikanth, Francesco Petruccione

Institutions: Jagiellonian University, Poornaprajna Institute of Scientific Research, 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

Awards: G1113979091, G3116650686, G4229986224, G6816499656