For one-parameter families of bipartite states through the maximally mixed state, the paper proves that supporting hyperplanes to Schmidt-number witness sets are exactly dual to the Schmidt-number intervals, and gives the explicit values for pure-state (Werner/isotropic) families.
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Supporting hyperplanes for Schmidt numbers and Schmidt number witnesses
For one-parameter families of bipartite states through the maximally mixed state, the paper proves that supporting hyperplanes to Schmidt-number witness sets are exactly dual to the Schmidt-number intervals, and gives the explicit values for pure-state (Werner/isotropic) families.