Complex coordinates forced by finite orthogonality hypergraphs in dimension three

arXiv:2609.20205 · math.CO, quant-ph · Submitted 2026-07-25 · Read on arXiv

math.CO, quant-ph

Submitted: 2026-07-25

Updated: 2026-07-25

Terminology

• Hypergraph — 21× in this paper · explained in 2 episodes
• Ambient Dimension — 2× in this paper · explained in 1 episode
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• No-Go Theorem — 1× in this paper · explained in 2 episodes

Sources

• Remarks on orthogonality spaces
• Optimal conversion of Kochen-Specker sets into bipartite perfect quantum strategies
• Construction of Kochen-Specker Sets from Mutually Unbiased Bases
• Quantum theory based on real numbers can be experimentally falsified
• Faithful real embedding of a three-dimensional complex Kochen-Specker configuration
• Orthogonal Representation of Graphs

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