Quantum Simulation of Renormalized Yukawa Theory

Quantum simulation of quantum field theories is a prospective application for fault tolerant quantum computers. Developing algorithms to this end are of major importance as we enter the early fault tolerant quantum computing (EFTQC) era. We develop an approach to quantum simulation of quantum field theories in a front-form Hamiltonian picture using the renormalization group procedure for effective particles (RGPEP). Here, the approach is tested for an interacting nuclear theory - the Yukawa model in 1+1D, and shows evidence for its viability as a quantum simulation framework by calculating resource estimates.