Work

Optimality of generalized Choi maps in M 3

Year: 2024

Type: article

Abstract: A family of linear positive maps in the algebra of 3 × 3 complex matrices proposed recently by Bera et al 2024 Linear and Multilinear Algebra 1–16) is further analyzed. It provides a generalization of a seminal Choi nondecomposable extremal map in M 3 . We investigate when generalized Choi maps are optimal, i.e. cannot be represented as a sum of positive and completely positive maps. This property is weaker than extremality, however, it turns out that it plays a key role in detecting quantum entanglement.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad3ca6

Authors: Giovanni Scala, Anindita Bera, Gniewomir Sarbicki, Dariusz Chruściński

Institutions: Polytechnic University of Bari, Center for Theoretical Physics, Polish Academy of Sciences, Nicolaus Copernicus University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Narodowe Centrum Nauki, Istituto Nazionale di Fisica Nucleare, QuantERA, Instituto Nazionale di Fisica Nucleare

Awards: G2479011859, G5848006774, G7232432523