If the variety of biangular Gabor frames is path-connected and a Gabor mutually unbiased basis exists, then the intermediate value theorem yields a SIC; the authors prove this mechanism works in dimension 2.
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Biangular Gabor frames and Zauner's conjecture
If the variety of biangular Gabor frames is path-connected and a Gabor mutually unbiased basis exists, then the intermediate value theorem yields a SIC; the authors prove this mechanism works in dimension 2.