Confusability graphs for symmetric sets of quantum states
Quantum Physics
2013-09-03 v2 Mathematical Physics
math.MP
Abstract
For a set of quantum states generated by the action of a group, we consider the graph obtained by considering two group elements adjacent whenever the corresponding states are non-orthogonal. We analyze the structure of the connected components of the graph and show two applications to the optimal estimation of an unknown group action and to the search for decoherence free subspaces of quantum channels with symmetry.
Keywords
Cite
@article{arxiv.1301.1094,
title = {Confusability graphs for symmetric sets of quantum states},
author = {Giulio Chiribella and Yuxiang Yang},
journal= {arXiv preprint arXiv:1301.1094},
year = {2013}
}
Comments
7 pages, no figures, contribution to the Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics, August 22-26, Chern Institute of Mathematics, Tianjin, China