Dimensionality reduction of the many-body problem using coupled-cluster subsystem flow equations: Classical and quantum computing perspective

We discuss reduced-scaling strategies employing the recently introduced subsystem embedding subalgebra (SES) coupled-cluster (CC) formalism to describe quantum many-body systems. These utilize properties of SES CC formulations where equations describing certain classes subsystems can be integrated into computational flows composed coupled eigenvalue problems reduced dimensionality. Additionally, these determined at level ansatz by inclusion selected cluster amplitudes, which define wave-function ``memory'' possible partitioning system constituent subsystems. One ways solving is through implementing procedures information passed between in a self-consistent manner. As special case we consider local flow character correlation effects closely related subalgebras localized molecular basis. also generalize time domain and downfolding methods utilizing double-exponential unitary ansatz, dimensionality subproblems offers possibility efficient utilization limited resources modeling realistic