Work

Noninvertibility and non-Markovianity of quantum dynamical maps

Year: 2023

Type: article

Abstract: We identify two broad types of noninvertibilities in quantum dynamical maps, one necessarily associated with CP indivisibility and one not so. We study the production of (non-)Markovian, invertible maps by the process of mixing noninvertible Pauli maps and quantify the fraction of the same. The memory kernel perspective appears to be less transparent on the issue of invertibility than the approaches based on maps or master equations. Here we consider a related and potentially helpful issue: the identification of criteria of parameterized families of maps leading to the existence of a well-defined semigroup limit.

Source: Physical Review A

DOI: 10.1103/physreva.108.042202

Authors: Vinayak Jagadish, R. Srikanth, Francesco Petruccione

Institutions: Jagiellonian University, Poornaprajna Institute of Scientific Research, Stellenbosch University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

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