Work

Petz recovery maps for qudit quantum channels

Year: 2024

Type: article

Abstract: This study delves into the efficacy of the Petz recovery map within the context of two paradigmatic quantum channels: dephasing and amplitude-damping. While prior investigations have predominantly focused on qubits, our research extends this inquiry to higher-dimensional systems. We introduce a novel, state-independent framework based on the Choi-Jamiołkowski isomorphism to evaluate the performance of the Petz map. By analyzing different channels and the (non-)unital nature of these processes, we emphasize the pivotal role of the reference state selection in determining the map's effectiveness. Furthermore, our analysis underscores the considerable impact of suboptimal choices on performance, prompting a broader consideration of factors such as system dimensionality.

Source: Physics Letters A

DOI: 10.1016/j.physleta.2024.129583

Authors: Lea Lautenbacher, Vinayak Jagadish, Francesco Petruccione, Nadja K. Bernardes

Institutions: Universität Ulm, Jagiellonian University, University of Helsinki, Stellenbosch University, Universidade Federal de Pernambuco

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,790

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Fundacja na rzecz Nauki Polskiej, Conselho Nacional de Desenvolvimento Científico e Tecnológico, QuantERA