quantum-information-computing / Quantum optics & graph amplitudes
For four particles and local dimension $D \ge 4$, can a complete edge-coloured, complex-weighted graph have unit perfect-matching amplitude for every monochromatic inherited colouring and zero for every nonmonochromatic one? Ruled out for the whole family, including the real-, integer- and trinary-weight variants.
Temporal state
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Append-only history
the N = 4, D ≥ 4 family is fully ruled out; the general two-parameter problem remains open
Research memory
For four particles and local dimension $D \ge 4$, can a complete edge-coloured, complex-weighted graph have unit perfect-matching amplitude for every monochromatic inherited colouring and zero for every nonmonochromatic one? Ruled out for the whole family, including the real-, integer- and trinary-weight variants.
the N = 4, D ≥ 4 family is fully ruled out; the general two-parameter problem remains open
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