Freudenthal ranks: GHZ vs. W
Quantum Physics
2013-11-19 v2 High Energy Physics - Theory
Rings and Algebras
Abstract
The Hilbert space of three-qubit pure states may be identified with a Freudenthal triple system. Every state has an unique \emph{Freudenthal rank} ranging from 1 to 4, which is determined by a set of automorphism group covariants. It is shown here that the optimal success rates for winning a three-player non-local game, varying over all local strategies, are strictly ordered by the Freudenthal rank of the shared three-qubit resource.
Cite
@article{arxiv.1308.2168,
title = {Freudenthal ranks: GHZ vs. W},
author = {L. Borsten},
journal= {arXiv preprint arXiv:1308.2168},
year = {2013}
}
Comments
8 pages. Typos corrected. Updated to match published version