Treffer: Indecomposable positive maps on positive semidefinite matrices from Mn to Mn+1
Title:
Indecomposable positive maps on positive semidefinite matrices from Mn to Mn+1
Publisher Information:
Springer Science and Business Media LLC, 2021.
Publication Year:
2021
Subject Terms:
Deformations and Structures of Hom-Lie Algebras, Linear map, Cluster Algebras and Triangulated Categories, Indecomposable module, Linear relationship, Quantum mechanics, 01 natural sciences, Positive-definite matrix, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Matrix Algorithms and Iterative Methods, Eigenvalues and eigenvectors, Algebra and Number Theory, Physics, 4. Education, Statistics, Pure mathematics, Discrete mathematics, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Geometry and Topology, Mathematics, Matrix Computations
Document Type:
Fachzeitschrift
Article<br />Other literature type
DOI:
10.21203/rs.3.rs-205976/v1
DOI:
10.60692/tay2e-jzb82
DOI:
10.60692/mwty7-e5858
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....ec59b41e17f3da039d8d96b822802b47
Database:
OpenAIRE
Weitere Informationen
In this paper we obtain a theorem for 2-positive linear maps from Mn(C) to Mn+1(C), where n = 2, 3, 4. In addition, we answer in the affirmative a question that asked if there exists every 2-positive linear map from M3(C) to M4(C) is indecomposable using a family of positive linear maps with Choi matrices of 2-positive maps on positive semidefinite matrices. Further it is shown that 2-positive linear map from M4(C) to M5(C) are indecomposable.