Quantum Simulation of Renormalized Quantum Field Theory Hamiltonians

The most accurate ab-initio calculations of hadronic structure have been achieved through lattice QCD, which is classically computationally expensive. Here we propose a scalable approach to computing hadronic mass spectra and constituent particle distributions using quantum computers. We outline the Renormalization Group Procedure for Effective Particles, a renormalization scheme for quantum field theory Hamiltonians to obtain finite observables. Then we describe the Ladder Operator Block Encoding framework, a key ingredient in efficiently calculating mass spectra of quantum field theories on quantum computers. We show explicit resource estimates for quantum simulation of renormalized Yukawa theory and QCD.

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In-person only, to be posted after the talk on https://www.youtube.com/@mathematicalpicturelanguag2715/videos