A1 Refereed original research article in a scientific journal
Modules and extremal completely positive maps
Authors: Pellonpaa JP
Publisher: SPRINGER
Publication year: 2014
Journal: Positivity
Journal name in source: POSITIVITY
Journal acronym: POSITIVITY
Volume: 18
Issue: 1
First page : 61
Last page: 79
Number of pages: 19
ISSN: 1385-1292
DOI: https://doi.org/10.1007/s11117-013-0231-y
Convex sets of completely positive maps and positive-(semi)definite kernels are considered in a very general context of modules over -algebras and a complete characterization of their (regular) extremal points is obtained. As a byproduct, we determine extremal autocorrelation functions. We present a generalization for the Choi isomorphism widely used in quantum information theory and generalize the concept of a completely positive quantum instrument.