Completely positive maps on modules, instruments, extremality problems, and applications to physics
arXiv:1202.5905 · doi:10.1088/1751-8113/46/2/025303
Abstract
Convex sets of completely positive maps and positive semidefinite kernels are considered in the most general context of modules over -algebras and a complete charaterization of their extreme points is obtained. As a byproduct, we determine extreme quantum instruments, preparations, channels, and extreme autocorrelation functions. Various applications to quantum information and measurement theories are given. The structure of quantum instruments is analyzed thoroughly.
32 pages
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Cited by in corpus (19)
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