Scattering Amplitude from Quantum Computing with Reduction Formula

• URL: http://arxiv.org/abs/2301.04179v2
• Date: Mon, 26 Feb 2024 22:57:31 GMT
• Title: Scattering Amplitude from Quantum Computing with Reduction Formula
• Authors: Tianyin Li, Wai Kin Lai, Enke Wang, Hongxi Xing
• Abstract summary: We present a new general framework for computing scattering amplitudes in quantum field theory with quantum computers. In this framework, one only has to construct one-particle states of zero momentum, and no wave packets of incoming particles are needed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Utilizing the Lehmann-Symanzik-Zimmermann reduction formula, we present a new general framework for computing scattering amplitudes in quantum field theory with quantum computers in a fully nonperturbative way. 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. We expect this framework to have particular advantages when applied to exclusive hadron scatterings. As a proof of concept, by simulations on classical hardware, we 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 Lehmann-Symanzik-Zimmermann reduction formula.

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