A perturbed cubic Alltop state yields minimal Weyl-Heisenberg measurements whose spectrum is confined to a narrowing interval and whose weakest direction reaches the symmetric-informationally-complete benchmark asymptotically.
For oddd≥ 3, take the missing coordinate to be zero
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Uniformly Stable Minimal Weyl--Heisenberg Measurements Approaching the SIC Benchmark
A perturbed cubic Alltop state yields minimal Weyl-Heisenberg measurements whose spectrum is confined to a narrowing interval and whose weakest direction reaches the symmetric-informationally-complete benchmark asymptotically.