Quantum interpolation for digital quantum simulation

POSTER

Abstract

Quantum simulation enables understanding complex dynamics with experimentally implementable dynamics. Digital quantum simulation enabled by Trotter expansion finds many applications due to its flexibility and universality. However, Trotter expansion higher than second order requires complicated coefficients that are hard to implement in experiment. Here we present Quantum Interpolation, a new exponential product second order approximation of exponential operators, motivated by realistic experimental limitations. We show that Quantum Interpolation has higher fidelity than the most commonly used second order Trotter expansion without any complicated coefficients. We also present the application of Quantum Interpolation in nano nuclear magnetic resonance imaging.

Presenters

  • Jordan Hines

    • Massachusetts Institute of Technology
    • Physics, Massachusetts Institute of Technology

Authors

  • Jordan Hines

    • Massachusetts Institute of Technology
    • Physics, Massachusetts Institute of Technology

  • Yi-Xiang Liu

    • Nuclear Science and Engineering, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Ashok Ajoy

    • University of California, Berkeley
    • University of California Berkeley
    • Department of Chemistry, University of California Berkeley

  • Paola Cappellaro

    • Nuclear Science and Engineering, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics and Department of Nuclear Science and Engineering, Massachusetts Institute of Technology
    • Department of Nuclear Science and Engineering, MIT