A1 Refereed original research article in a scientific journal

Modules and extremal completely positive maps




AuthorsPellonpaa JP

PublisherSPRINGER

Publication year2014

JournalPositivity

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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