Chi-Kwong Li, Yiu-Tung Poon
Published 2010-12-08Version 1
Given commuting families of Hermitian matrices {A1, ..., Ak} and {B1, ...., Bk}, conditions for the existence of a completely positive map L, such that L(Aj) = Bj for j = 1, ...,k, are studied. Additional properties such as unital or / and trace preserving on the map ? are also considered. Connections of the study to dilation theory, matrix inequalities, unitary orbits, and quantum information science are mentioned.
An interlacing result for Hermitian matrices in Minkowski space
Classification of joint numerical ranges of three hermitian matrices of size three
The outer spectral radius and dynamics of completely positive maps
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