Merging of positive maps: a construction of various classes of positive maps on matrix algebras
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Publication:2361561
DOI10.1016/j.laa.2017.04.026OpenAlexW2358331242MaRDI QIDQ2361561
Marcin Marciniak, Adam J. Rutkowski
Publication date: 30 June 2017
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02219
Positive matrices and their generalizations; cones of matrices (15B48) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) General theory of (C^*)-algebras (46L05) Linear operators on ordered spaces (47B60) Quantum coherence, entanglement, quantum correlations (81P40)
Related Items (3)
On a New Family of Extremal Positive Maps of Three-Dimensional Matrix Algebra ⋮ A class of optimal positive maps in \(M_n\) ⋮ Generalizing Choi-like maps
Cites Work
- Unnamed Item
- Extension of positive maps into B(\({\mathcal H})\)
- Generalized Choi maps in three-dimensional matrix algebra
- Completely positive linear maps on complex matrices
- Positive semidefinite biquadratic forms
- Nonextendible positive maps
- Positive maps of low dimensional matrix algebras
- An effective method of investigation of positive maps on the set of positive definite operators
- Positive linear maps of operator algebras
- On a characterization of positive maps
- Extremal Positive Maps on M3(ℂ) and Idempotent Matrices
- Rank properties of exposed positive maps
- Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States
- Entanglement Witnesses Arising from Exposed Positive Linear Maps
- Stable subspaces of positive maps of matrix algebras
- Construction of exposed indecomposable positive linear maps between matrix algebras
- Decomposable Positive Maps on C ∗ -Algebras
- On extremal positive maps acting between type I factors
- Exposed Positive Maps in M4(ℂ)
- A Class of Bistochastic Positive Optimal Maps in Md(ℂ)
- Duality for positive linear maps in matrix algebras
- Separability Criterion for Density Matrices
- FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT
- Entanglement witnesses: construction, analysis and classification
- Exposed positive maps: a sufficient condition
- On the structure of positive maps. II. Low dimensional matrix algebras
- Extremals and exposed faces of the cone of positive maps
- Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps
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