Positive linear maps of matrix algebras

W. A. Majewski

Banach Center Publications (2012)

  • Volume: 98, Issue: 1, page 293-302
  • ISSN: 0137-6934

Abstract

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A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.

How to cite

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W. A. Majewski. "Positive linear maps of matrix algebras." Banach Center Publications 98.1 (2012): 293-302. <http://eudml.org/doc/281995>.

@article{W2012,
abstract = {A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.},
author = {W. A. Majewski},
journal = {Banach Center Publications},
keywords = {positive maps; projective tensor product; exposed maps},
language = {eng},
number = {1},
pages = {293-302},
title = {Positive linear maps of matrix algebras},
url = {http://eudml.org/doc/281995},
volume = {98},
year = {2012},
}

TY - JOUR
AU - W. A. Majewski
TI - Positive linear maps of matrix algebras
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 293
EP - 302
AB - A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.
LA - eng
KW - positive maps; projective tensor product; exposed maps
UR - http://eudml.org/doc/281995
ER -

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