Extremal quantum protocols
Quantum Physics
2011-08-31 v2 Mathematical Physics
math.MP
Abstract
Generalized quantum instruments correspond to measurements where the input and output are either states or more generally quantum circuits. These measurements describe any quantum protocol including games, communications, and algorithms. The set of generalized quantum instruments with a given input and output structure is a convex set. Here we investigate the extremal points of this set for the case of finite dimensional quantum systems and generalized instruments with finitely many outcomes. We derive algebraic necessary and sufficient conditions for extremality.
Cite
@article{arxiv.1101.4889,
title = {Extremal quantum protocols},
author = {Giacomo Mauro D'Ariano and Paolo Perinotti and Michal Sedlak},
journal= {arXiv preprint arXiv:1101.4889},
year = {2011}
}
Comments
26 pages (JMP style), 1 figures