Extremal covariant quantum operations and POVM's
Quantum Physics
2007-05-23 v4
Abstract
We consider the convex sets of QO's (quantum operations) and POVM's (positive operator valued measures) which are covariant under a general finite-dimensional unitary representation of a group. We derive necessary and sufficient conditions for extremality, and give general bounds for ranks of the extremal POVM's and QO's. Results are illustrated on the basis of simple examples.
Cite
@article{arxiv.quant-ph/0310024,
title = {Extremal covariant quantum operations and POVM's},
author = {Giacomo Mauro D'Ariano},
journal= {arXiv preprint arXiv:quant-ph/0310024},
year = {2007}
}
Comments
18 pages, to appear on J. Math. Phys