Digital Quantum Simulation of Hadronization in Yang-Mills Theory

TL;DR

This paper presents a quantum algorithm for simulating SU(N) Yang-Mills theory, enabling nonperturbative calculations of scattering processes and hadronization phenomena with polynomial complexity, advancing quantum simulations in high energy physics.

Contribution

It introduces a novel quantum circuit-based algorithm for nonperturbative Yang-Mills theory simulation, addressing fermion doubling and gauge symmetry issues in quantum chromodynamics.

Findings

Able to simulate quark and gluon wave functions over time

Provides a framework for understanding hadronization processes

Achieves polynomial complexity in quantum simulations

Abstract

A quantum algorithm of SU(N) Yang-Mills theory is formulated in terms of quantum circuits. It can nonperturbatively calculate the Dyson series and scattering amplitudes with polynomial complexity. The gauge fields in the interaction picture are discretized on the same footing with the lattice fermions in momentum space to avoid the fermion doubling and the gauge symmetry breaking problems. Applying the algorithm to the quantum simulation of quantum chromodynamics, the quark and gluon's wave functions evolved from the initial states by the interactions can be observed and the information from wave functions can be extracted at any discrete time. This may help us understand the natures of the hadronization which has been an outstanding question of significant implication on high energy phenomenological studies.