2013/08/31 by L. Borsten, L Borsten
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th #math.RA #msc:81P40 #msc:81P45 #msc:91A12 #quant-ph
paper · pdf · doi:10.1088/1751-8113/46/45/455303
published as J. Phys. A: Math. Theor. 46 (2013) 455303 · 8 pages. Typos corrected. Updated to match published version
openalex publication_date 2013/10/29 · arxiv created 2013/11/17 · arxiv updated 2013/11/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.