Scattering amplitude from quantum computing with reduction formula

In this talk, I will present a new general framework for computing scattering amplitudes in quantum field theory with quantum computers in a fully nonperturbative way. After giving a motivation for the application of quantum computing to particle physics, I will briefly introduce the basics of quantum computing. After that, I will give the details of the proposed quantum algorithm for calculating scattering amplitudes, which utilizes the Lehmann-Symanzik-Zimmermann (LSZ) reduction formula. In this framework, one only has to construct one-particle states of zero momentum, and no wave packets of incoming particles are needed. The framework is able to incorporate scatterings of bound states, and is ideal for scatterings involving a small number of particles. This framework is expected to have particular advantages when applied to exclusive hadron scatterings. As a proof of concept, by simulations on classical hardware, I demonstrate that in the one-flavor Gross-Neveu model, the fermion propagator, the connected fermion four-point function, and the propagator of a fermion-antifermion bound state obtained from our proposed quantum algorithm have the desired pole structure crucial to the implementation of the LSZ reduction formula.

Brief CV:
Wai Kin Lai received PhD in physics at the University of Pittsburgh in 2016. He was a postdoctoral reseacher at the Technical University of Munich from 2016 to 2020. From 2020 to 2023, he was a postdoctoral researcher at South China Normal University, and was a visiting assistant researcher at the University of California, Los Angeles from 2022 to 2023. Wai Kin Lai is currently a lecturer at HKU SPACE in Hong Kong. Wai Kin Lai's research interests are applications of effective field theories of QCD to particle phenomenology and studies of nonperturbative physics with quantum computation.