Resource Estimates and Error Analysis for Quantum Simulations of 1+1D SU(N_c) Lattice Gauge Theory

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(N_c) LGT are developed. The quantum resource requirements for Trotterized time evolution of 1+1D SU(N_c) LGT with N_f 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.