Modules and extremal completely positive maps




Pellonpaa JP

PublisherSPRINGER

2014

Positivity

POSITIVITY

POSITIVITY

18

1

61

79

19

1385-1292

DOIhttps://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.




Last updated on 2024-26-11 at 20:18