Digital Quantum Simulation of Yang-Mills Theory and Hadronization

De-Sheng Li, Chun-Wang Wu, Ming Zhong, Wei Wu, Ping-Xing Chen

Published 2018-10-22Version 1

A quantum algorithm with polynomial complexity to non-perturbatively calculate the Dyson series of SU(N) Yang-Mills theory is formulated in terms of quantum circuits. Applying it to the quantum simulation of quantum chromodynamics (QCD), 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.