Construction of exposed indecomposable positive linear maps between matrix algebras
From MaRDI portal
Publication:2953179
DOI10.1080/03081087.2016.1145183zbMath1355.81023arXiv1410.5545OpenAlexW1622582323MaRDI QIDQ2953179
Publication date: 3 January 2017
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5545
Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Quantum measurement theory, state operations, state preparations (81P15) Algebraic systems of matrices (15A30) States of selfadjoint operator algebras (46L30)
Related Items (5)
Merging of positive maps: a construction of various classes of positive maps on matrix algebras ⋮ Separability of multi-qubit states in terms of diagonal and anti-diagonal entries ⋮ Indecomposable exposed positive bi-linear maps between two by two matrices ⋮ The set of separable states has no finite semidefinite representation except in dimension \(3\times 2\) ⋮ There is no direct generalization of positive partial transpose criterion to the three-by-three case
Cites Work
- Bell inequalities and the separability criterion
- On positive linear maps between matrix algebras
- Generalized Choi maps in three-dimensional matrix algebra
- Nonextendible positive maps
- Extremal positive semidefinite forms
- Positive maps of low dimensional matrix algebras
- Separability of mixed states: necessary and sufficient conditions.
- Separability criterion and inseparable mixed states with positive partial transposition.
- Notes on extremality of the Choi map
- Separable states with unique decompositions
- Rank properties of exposed positive maps
- Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States
- Exposed Positive Maps in M4(ℂ)
- AUTOMORPHISMS OF SPIN FACTORS AND THE DECOMPOSITION OF POSITIVE MAPS
- Positive Projections on C∗ -Algebras and an Extremal Positive Map
- Duality for positive linear maps in matrix algebras
- Separability Criterion for Density Matrices
- A class of exposed indecomposable positive maps
- FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT
- Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transpose
- Boundary of the set of separable states
- Exposed positive maps: a sufficient condition
This page was built for publication: Construction of exposed indecomposable positive linear maps between matrix algebras
