Resource Estimates and Error Analysis for Quantum Simulations of 1+1D SU(N<sub>c</sub>) Lattice Gauge Theory

ORAL

Abstract

Recent progress in the field of quantum computation is enabling the use of quantum devices for simulation of lattice gauge theories (LGT), with the goal of avoiding problems plaguing the classical counterparts of these computations. Calculations using circuits with a modest number of gates and required coherence time are now possible. In this work, preparations for studying the SU(Nc) LGT are developed. The quantum resource requirements for Trotterized time evolution of 1+1D SU(Nc) LGT with Nf quark flavors on a quantum device are presented in this talk. The number of Trotter steps necessary to achieve a desired precision is discussed, as well as the structure of errors in the evolution.

*We acknowledge U.S. DOE grant DE-FG02-97ER-41014 (Farrell), funding through DOE (NP) Award DE-SC0020970 (Chernyshev, Farrell, Powell, Savage, Zemlevskiy) and the Quantum Science Center (QSC) (Illa). We acknowledge the use of IBM Quantum services for this work.

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Publication: https://arxiv.org/abs/2207.01731

Presenters

  • Nikita A Zemlevskiy

    • University of Washington

Authors

  • Nikita A Zemlevskiy

    • University of Washington

  • Roland C Farrell

    • University of Washington

  • Sarah Powell

    • York University

  • Ivan A Chernyshev

    • University of Washington

  • Marc Illa

    • University of Washington
    • UW-Seattle

  • Martin J Savage

    • UW-Seattle