Efficient step-merged quantum imaginary time evolution algorithm for quantum chemistry

ORAL

Abstract

We develop a resource efficient step-merged quantum imaginary time evolution approach (smQITE) to solve for the ground state of a Hamiltonian on quantum computers. This heuristic method features a fixed shallow quantum circuit depth along the state evolution path. We use this algorithm to determine binding energy curves of a set of molecules, including H2, H4, H6, LiH, HF, H2O and BeH2, and find highly accurate results. The required quantum resources of smQITE calculations can be further reduced by adopting the circuit form of the variational quantum eigensolver (VQE) technique, such as the unitary coupled cluster ansatz. We demonstrate that smQITE achieves a similar computational accuracy as VQE at the same fixed-circuit ansatz, without requiring a generally complicated high-dimensional non-convex optimization. Finally, smQITE calculations are carried out on Rigetti quantum processing units, demonstrating that the approach is readily applicable on current NISQ devices.

*This work was supported by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. The research was performed at the Ames Laboratory, which is operated for the U.S. DOE by Iowa State University under Contract No. DE-AC02-07CH11358.

Presenters

  • Yongxin Yao

    • Ames Laboratory
    • Ames Laboratory and Iowa State University
    • Iowa State University

Authors

  • Niladri Gomes

    • Ames Laboratory
  • Feng Zhang

    • Ames Laboratory
    • Department of Physics, Iowa State University
    • Iowa State University
  • Noah Berthusen

    • Ames Laboratory
  • Cai-Zhuang Wang

    • Ames Laboratory, U.S. Department of Energy and Department of Physics and Astronomy, Iowa State University
    • Iowa State University
    • Dept. of Physics and Astronomy, Iowa State University
    • Ames Laboratory and Iowa State University
    • Department of Physics, Iowa State University
  • Kai-Ming Ho

    • Ames Laboratory, U.S. Department of Energy and Department of Physics and Astronomy, Iowa State University
    • Iowa State University/AmesLab
    • Ames Laboratory and Iowa State University
    • Department of Physics, Iowa State University
    • Iowa State University
  • Peter Orth

    • Dept. of Physics and Astronomy, Iowa State University
    • Iowa State University
    • Ames Laboratory and Iowa State University
  • Yongxin Yao

    • Ames Laboratory
    • Ames Laboratory and Iowa State University
    • Iowa State University