Fig. 1: Discretization of a bosonic coordinate.
From: A universal framework for the quantum simulation of Yang–Mills theory
The coordinate operator \(\hat{x}a\) acts on a limited number of different states \(\left\vert {n}_{a}\right\rangle \) with discretized eigenvalues \({x}_{a,{n}_{a}}\), labeled by integers na. The gradient shading represents a possible wavefunction realization for this single bosonic degree of freedom.
