Grand Unification of All Discrete Wigner Functions on d times d Phase Space
The paper introduces a unified framework for all discrete Wigner functions (DWFs) on a d x d phase space. It shows that every DWF arises from cross-correlating a single 'parent function' with a specific 'stencil.' This method allows researchers to compare different DWF constructions and exposes how results depend on the chosen representation, unifying the landscape of these discrete quasiprobability representations.