Equations for the overlaps of a SIC

Autor: Bos, Len, Waldron, Shayne
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 .
Comment: 19 Pages
Databáze: arXiv