A1 Refereed original research article in a scientific journal

Modules and extremal completely positive maps




AuthorsPellonpaa JP

PublisherSPRINGER

Publication year2014

Journal:Positivity

Journal name in sourcePOSITIVITY

Journal acronymPOSITIVITY

Volume18

Issue1

First page 61

Last page79

Number of pages19

ISSN1385-1292

DOIhttps://doi.org/10.1007/s11117-013-0231-y


Abstract

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.




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