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On the structure of positive maps between matrix algebras

Volume 78 / 2007

W/ladys/law A. Majewski, Marcin Marciniak Banach Center Publications 78 (2007), 249-263 MSC: Primary 47B65; Secondary 47L07. DOI: 10.4064/bc78-0-18

Abstract

The structure of the set of positive unital maps between $M_2(\mathbb C)$ and $M_n(\mathbb C)$ (${n\geq 3}$) 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.

Authors

  • W/ladys/law A. MajewskiInstitute of Theoretical Physics and Astrophysics
    Gdańsk University
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail
  • Marcin MarciniakInstitute of Theoretical Physics and Astrophysics
    Gdańsk University
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail

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