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

arXiv:2207.02510 · Annales Henri Poincaré

Positive Maps and Entanglement in Real Hilbert Spaces

Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman

Published May 24, 2023• 19 citations
arXivHTMLPDF
DOI
10.1007/s00023-023-01325-x

Related papers

A new criterion for indecomposability of positive maps

William Hall

We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive maps. These families of maps can then be used to form separability criteria for bipartite quantum states that can detect the entanglement of bound entangled quantum states.

Journal of Physics A Mathematical and General•Oct 24, 2006•67 citations

Positive maps, positive polynomials and entanglement witnesses

Łukasz Skowronek, Karol Życzkowski

Journal of Physics A Mathematical and Theoretical•Mar 17, 2009•4 citations

Indecomposable positive linear maps and entanglement

김동운

•Jan 1, 2005•0 citations

Constructions of indecomposable positive maps based on a new criterion for indecomposability

Hall, William

We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive maps. These families of maps can then be used to form separability criteria for bipartite quantum states that can detect the entanglement of bound entangled quantum states.

arXiv:quant-ph/0607035•Jul 5, 2006•3 citations

Detecting Quantum Entanglement: Positive Maps and Entanglement Witnesses

Dariusz Chruciski

InTech eBooks•Jul 24, 2013•1 citation

Some Remarks on the Role of Minimal Length of Positive Maps in Constructing Entanglement Witnesses

Andrzej Jamiołkowski

The main objective of this paper is to discuss correspondence between the concept of entanglement witnesses (self-adjoint operators on a composite Hilbert space [Formula: see text] that are, in general, not positive, but are positive on separable states) and positive maps [Formula: see text] which are not completely positive. The notion of minimal length of linear positive map is introduced and the role of this quantity in the constructing of entanglement witnesses is explained.

Open Systems & Information Dynamics•Dec 1, 2004•6 citations