Equations for the overlaps of a SIC
<|reference_start|>Equations for the overlaps of a SIC: We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known systems of equations that determine a Weyl-Heisenberg SIC involve variables and their complex conjugates. We also give a related interesting result about the powers of the projective Fourier transform of the group G = Z d x Z d .<|reference_end|>
@article{bos2024equations,
    title={Equations for the overlaps of a SIC},
    author={Len Bos and Shayne Waldron},
    journal={arXiv preprint arXiv:2405.14123},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.14123},
    primaryClass={cs.IT math.IT}
}