Work

Choi representation of completely positive maps in brief

Year: 2024

Type: article

Abstract: The Choi representation of completely positive trace preserving (CPTP) maps, i.e. quantum channels is often used in the context of quantum information and computation as it is easy to work with. It is a correspondence between CPTP maps and quantum states also termed as the Choi–Jamiołkowski isomorphism. It is especially useful if a parametrization of the set of CPTP maps is needed in order to consider a general map or optimize over the set of these. Here we provide a brief introduction to this topic, focusing on certain useful calculational techniques which are presented in full detail.

Source: Zeitschrift für Naturforschung A

DOI: 10.1515/zna-2024-0144

Authors: Gábor Homa, Adrian Ortega, Mátyás Koniorczyk

Institutions: HUN-REN Wigner Research Centre for Physics, Universidad de Guadalajara

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap

Awards: G4428170828, G4568777066, G5989481366, G6768785153