Real spheres are quantumly n-colorable precisely for n=2 or multiples of 4 with Hadamard matrices; complex spheres have quantum chromatic number strictly larger than dimension except for n=2, settling the Zeng-Zhang conjecture on rank-one colorings.
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Quantum Colorings of Spheres
Real spheres are quantumly n-colorable precisely for n=2 or multiples of 4 with Hadamard matrices; complex spheres have quantum chromatic number strictly larger than dimension except for n=2, settling the Zeng-Zhang conjecture on rank-one colorings.