Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

How good is a positive map at detecting quantum entanglement?

Ion Nechita

Published Sep 2, 2019• 0 citations
Publisher
DOI
10.22331/qv-2019-09-02-24

Related papers

Detecting Quantum Entanglement: Positive Maps and Entanglement Witnesses

Dariusz Chruciski

InTech eBooks•Jul 24, 2013•1 citation

Detection of entanglement via moments of positive maps

Mazhar Ali

arXiv:2405.13417•Quantum Information Processing•Jan 13, 2025•3 citations

Constructing positive maps from block matrices

Yu Jing Guo, Heng Fan

Positive maps are useful for detecting entanglement in quantum information theory. Any entangled state can be detected by some positive map. In this paper, the relation between positive block matrices and completely positive trace-preserving maps is characterized. Consequently, a new method for constructing decomposable maps from positive block matrices is derived. In addition, a method for constructing positive but not completely positive maps from Hermitian block matrices is also obtained.

arXiv:1212.5851•Journal of Physics A Mathematical and Theoretical•Jun 12, 2013•1 citation

Detecting entanglement harnessing Lindblad structure

Vaibhav Chimalgi, Bihalan Bhattacharya, Suchetana Goswami +1 more

Abstract The problem of entanglement detection is a long standing problem in quantum information theory. One of the primary procedures of detecting entanglement is to find the suitable positive but non-completely positive maps. Here we try to give a generic prescription to construct a positive map that can be useful for such scenarios. We study a class of positive maps arising from Lindblad structures. We show that two famous positive maps viz. transposition, reduction map and Choi map can be obtained as a special case of a class of positive maps having Lindblad structure. Generalizing the transposition map to a one parameter family we have used it to detect genuine multipartite entanglement. Finally being motivated by the negativity of entanglement, we have defined a similar measure for genuine multipartite entanglement.

arXiv:2210.17204•Physica Scripta•Sep 28, 2023•2 citations

Unital Kadison-Schwarz Maps

Hajir Al Zadjali, Farrukh Maksutovich Mukhamedov

Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity. KS maps may be key to understanding and detecting entanglement. We provide a description of a subset of KS maps on [Formula: see text] that are unital. This allows for the classification of a wider class of positive maps than the well known bistochastic maps. We derive the conditions for a unital map to be a KS map, and provide nontrivial examples of such a map.

arXiv:2509.16368•Open Systems & Information Dynamics•Jun 1, 2025•0 citations

HOW TO DETECT ENTANGLEMENT IN QUANTUM SYSTEMS

Miłosz R. Michalski

Quantum Bio-Informatics•Jan 1, 2010•0 citations
Abstract The problem of entanglement detection is a long standing problem in quantum information theory. One of the primary procedures of detecting entanglement is to find the suitable positive but non-completely positive maps. Here we try to give a generic prescription to construct a positive map that can be useful for such scenarios. We study a class of positive maps arising from Lindblad structures. We show that two famous positive maps viz. transposition, reduction map and Choi map can be obtained as a special case of a class of positive maps having Lindblad structure. Generalizing the transposition map to a one parameter family we have used it to detect genuine multipartite entanglement. Finally being motivated by the negativity of entanglement, we have defined a similar measure for genuine multipartite entanglement.
Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity. KS maps may be key to understanding and detecting entanglement. We provide a description of a subset of KS maps on [Formula: see text] that are unital. This allows for the classification of a wider class of positive maps than the well known bistochastic maps. We derive the conditions for a unital map to be a KS map, and provide nontrivial examples of such a map.