Georgia Institute of Technology Finds Limits to Ground State Preparation

Space analyticity derives a complete spectral criterion for the existence of exponentially local linear jump operators that prepare the ground state. The resulting criterion leads to a no-go theorem stating that sign-changing Fermi-level crossings exclude exponentially local linear jump operators for preparing the ground state. These crossings represent the complete obstruction in one dimension; however, additional obstructions generally arise in higher dimensions. Researchers illustrate these additional obstructions using two quadratic-band-touching models with algebraically decaying ground-state correlations. Furthermore, short-range ground state correlations, while not necessary, are sufficient. ## Spectral Properties Dictate Locality During Dissipative Ground State Preparation…