On the structure of positive maps between matrix algebras

Władysław A. Majewski, and Marcin Marciniak. "On the structure of positive maps between matrix algebras." Banach Center Publications 78.1 (2007): 249-263. <http://eudml.org/doc/282195>.

@article{WładysławA2007,
abstract = {The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.},
author = {Władysław A. Majewski, Marcin Marciniak},
journal = {Banach Center Publications},
keywords = {positive maps; decomposable maps; face structure; orthogonal projections; Choi matrix},
language = {eng},
number = {1},
pages = {249-263},
title = {On the structure of positive maps between matrix algebras},
url = {http://eudml.org/doc/282195},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Władysław A. Majewski
AU - Marcin Marciniak
TI - On the structure of positive maps between matrix algebras
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 249
EP - 263
AB - The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.
LA - eng
KW - positive maps; decomposable maps; face structure; orthogonal projections; Choi matrix
UR - http://eudml.org/doc/282195
ER -