TIMES-ADAPT: A Quantum Algorithm for real-time evolution in low-energy subspaces using fixed-depth circuits

ORAL

Abstract

We propose a set of two algorithms which we collectively refer to as TIMES-ADAPT that can prepare time-evolved states in low-energy or symmetric subspaces of time-independent Hamiltonians. Our algorithm produces fixed-depth circuits, where time only enters as a circuit parameter. The error in the evolution is set by the overlap of the initial state with the subspace, and does not worsen with time.

*B. Sambasivam, K. Sherbert, K. Shirali, and S. E. Economou are supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under Contract No.DE-SC0012704. N. J. Mayhall acknowledges funding from the Department of Energy (Award number: DE-SC0024619). E. Barnes acknowledges support from the Department of Energy (Award no. DE-SC0025430).

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Publication: B. Sambasivam, K. Sherbert, K. Shirali, N. J. Mayhall, E. Barnes, S. E. Economou, "TIMES-ADAPT: A Quantum algorithm for real-time evolution in low-energy subspaces using fixed-depth circuits", in preparation.

Presenters

  • Bharath Sambasivam

    • Virginia Tech

Authors

  • Bharath Sambasivam

    • Virginia Tech

  • Kyle Sherbert

    • Virginia Tech

  • Karunya Shailesh Shirali

    • Virginia Tech

  • Nicholas J Mayhall

    • Virginia Tech

  • Edwin Barnes

    • Virginia Tech

  • Sophia E Economou

    • Virginia Tech