Hybrid quantum-classical simulations of correlated materials within Gutzwiller variational approach

ORAL

Abstract

We develop a hybrid quantum-classical simulation framework that leverages existing noisy intermediate-scale quantum (NISQ) computing technology to study ground-state properties of correlated electron materials. It combines classical Gutzwiller variational embedding theory with state-of-the-art quantum computing algorithms to solve the effective multi-orbital embedding problem. The theory amounts to finding a self-consistent solution of coupled eigenvalue equations. The effective quasi-particle Hamiltonian is diagonalized efficiently using classical computers, while the ground state of the Gutzwiller embedding Hamiltonian is obtained using variational quantum eigensolvers implemented on quantum computing devices. This is feasible on NISQ devices and takes advantage of relatively shallow quantum circuits for error mitigation. The approach is applied to the periodic Anderson model and Hubbard models. Various variational ansatz and quantum noise forms will be compared on their numerical convergence and calculation accuracy.

*This work was supported by US DOE, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. The research was performed at Ames Laboratory, which is operated for US DOE by Iowa State University under contract # DE-AC02-07CH11358.

Presenters

  • Yongxin Yao

    • Ames Laboratory and Department of Physics and Astronomy, Iowa State University

Authors

  • Yongxin Yao

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

    • Department of Electrical and Computer Engineering, Iowa State University
  • Feng Zhang

    • Ames Lab
    • Ames Laboratory
    • Ames Laboratory and Department of Physics and Astronomy, Iowa State University
  • Cai-Zhuang Wang

    • Ames Laboratory
    • Ames Laboratory and Department of Physics and Astronomy, Iowa State University
    • Department of Physics and Astronomy, Iowa State University
    • Department of Physics and Astronomy, Iowa State University/Ames Laboratory
  • Kai-Ming Ho

    • Iowa State University
    • Ames Laboratory and Department of Physics and Astronomy, Iowa State University
    • Department of Physics and Astronomy, Iowa State University
    • Department of Physics and Astronomy, Iowa State University/Ames Laboratory
  • Peter Orth

    • Ames Laboratory, Ames, IA, 50011, USA
    • Iowa State University
    • Ames Laboratory and Department of Physics and Astronomy, Iowa State University