Notes on a talk by Guiseppe Carleo given at the SCQM 2020 winter school. Describing a single spin-$\frac{1}{2}$ particle can be achieved by the simple ansatz $$| \psi \rangle = C_{\uparrow} |\uparrow\rangle + C_{\downarrow} | \downarrow\rangle$$ and the normalization condition…