Note now that the spin-PLDM correlation function has picked up a second sum which focuses the backward mapping variables to electronic state λ . This additional sampling now impedes the same simplification that was made before for spin-LSC when only computing initial operators Â = |σ σ|. Now, in principle, all N 2 focused initial conditions for λ and λ will play some role in the correlation function at time t > 0 no matter the choice of Â.