quantum-information-computing / Quantum optics & graph amplitudes
Can a complete edge-coloured, complex-weighted graph realize perfect-matching amplitudes of one on every monochromatic inherited vertex colouring and zero otherwise? Nonexistence is proved in the diagonal family $N = D$ for every even $N \ge 4$, alongside further finite cases.
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Append-only history
the diagonal family is ruled out; the broader two-parameter problem remains open
Research memory
Can a complete edge-coloured, complex-weighted graph realize perfect-matching amplitudes of one on every monochromatic inherited vertex colouring and zero otherwise? Nonexistence is proved in the diagonal family $N = D$ for every even $N \ge 4$, alongside further finite cases.
the diagonal family is ruled out; the broader two-parameter problem remains open
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