Freudenthal ranks: GHZ vs. W
arXiv:1308.2168 · doi:10.1088/1751-8113/46/45/455303
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.
8 pages. Typos corrected. Updated to match published version
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