TDDFT potential inversion applied to spin systems on noisy quantum computers

One route to numerically propagating quantum systems is time-dependent density functional theory (TDDFT). We recently introduced a newly developed solver[arXiv:1904.10958] for the scalar time-dependent Kohn-Sham potential using a grid-like basis of Sinc functions. In this talk, we discuss the application of this method to describing interacting spin systems (which can be implemented readily on quantum computers) as a non-interacting Kohn-Sham system. The method's robustness when used in conjunction with current noisy quantum devices is discussed.