Quantum Simulation of Renormalized Quantum Field Theory Hamiltonians

Abstract: 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.

quantum computing and informationMathematicsPhysics

Audience: researchers in the topic

Comments: Passcode: 657361

Mathematical Picture Language Seminar