Quantum computers are a strong candidate for calculating the low energy spectra in complex electronic structure systems. While variational algorithms havehave had some initial success in this area, there is a large overhead in the numberof circuits it takes to perform noisy optimization. Here, we exploit the use oftensor hyper-contractions (THC) within the framework of quantum filter diag-onalization which is an approximate sub-space diagonalization. This allows usto achieve a direct non-variational approach to calculating the spectra with farfewer circuits run on the hardware. We also demonstrate error mitigation andpost-selection strategies which are tailored specifically for this approach and boost the quality of results. Finally, it is shown how this technique bescaled to larger systems

Resolving low energy spectra with tensor hyper-contractions and quantum filter diagonalization

ACS Spring Meeting 2021

The official archive and repository for all ACS Meetings & Expositions abstracts and select posters or presentations.