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Complex coordinates forced by finite orthogonality hypergraphs in dimension three

Navara, Mirko et al.
arXiv (All) · Papers
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combinatoricsquantum-physics
We exhibit two finite orthogonality hypergraphs that admit faithful orthogonal representations by rays in complex three-dimensional space but admit none in real three-dimensional space. Thus, although each orthogonality diagram is unchanged, its coordinatizability in dimension three depends on wheth
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