Quantum-Classical Simulation of Dynamical Mean-Field Theory Using Coupled-Cluster Methods

ORAL

Abstract

We propose a new method of calculating Green’s functions on a quantum computer in the time domain for condensed matter applications using coupled cluster methods. This approach removes the quantum complexity of state preparation and eliminates the need to make any assumptions about the ground state of the system. As a test case, and to assess the scalability of the method, we applied our approach to the single-impurity Anderson model (SIAM) employed in dynamical mean-field theory. As a specific example, we present results for running the procedure for a two-site SIAM on a quantum simulator.

*T.K. was supported by U.S. Department of Energy, Office of Science,
Office of Workforce Development for Teachers and Scientists, Office of Science Graduate Student Research
(SCGSR) program. B. P. and K. K. were supported by the ``Embedding QC into Many-body Frameworks for Strongly Correlated Molecular and Materials Systems'' project, which is funded by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences (BES), the Division of Chemical Sciences, Geosciences, and Biosciences. B. P. also acknowledges the support of Laboratory Directed Research and Development (LDRD) program from PNNL.

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Presenters

  • Trevor Keen

    • Department of Physics and Astronomy, University of Tennessee

Authors

  • Trevor Keen

    • Department of Physics and Astronomy, University of Tennessee

  • Bo Peng

    • Physical Sciences and Computation Division, Pacific Northwest National Lab
    • Pacific Northwest National Laboratory

  • Karol Kowalski

    • Physical Sciences and Computation Division, Pacific Northwest National Lab
    • Pacific Northwest National Laboratory

  • Pavel Lougovski

    • Amazon Web Services
    • Oak Ridge National Lab
    • Oak Ridge National Laboratory

  • Steven S. Johnston

    • Department of Physics and Astronomy, University of Tennessee
    • Department of Physics and Astronomy and Joint Institute of Advanced Materials, The University of Tennessee, Knoxville, Tennessee 37996, USA
    • University of Tennessee
    • University of Tennessee, Knoxville