Freudenthal ranks: GHZ versus W

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4 Citations (Scopus)


The Hilbert space of three-qubit pure states may be identified with a Freudenthal triple system. Every state has an unique 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.

Original languageEnglish
Article number455303
JournalJournal of Physics A: Mathematical and Theoretical
Issue number45
Publication statusPublished - 15 Nov 2013


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