Orders of magnitude reduction in the computational overhead for quantum many-body problems on quantum computers via an exact transcorrelated method

Published in Physical Review Research, 2022

We extend transcorrelated methods to quantum simulation by combining them with an Ansatz-based imaginary-time evolution algorithm adapted to non-Hermitian Hamiltonians. This approach enables highly compact and accurate solutions for strongly correlated systems like the Hubbard model, achieving up to four orders of magnitude improvement in accuracy while using shallower circuits. Hardware experiments on IBM’s quantum devices validate the method.

Recommended citation: Igor O. Sokolov, et al. (2022). "Orders of magnitude reduction in the computational overhead for quantum many-body problems on quantum computers via an exact transcorrelated method." Phys. Rev. Research
Download Paper