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arXiv:2411.18869 · Physical review. D/Physical review. D.

Quantum computing of chirality imbalance in SU(2) gauge theory

Guofeng Zhang, Xingyu Guo, Enke Wang, Hongxi Xing

Published Mar 31, 2025• 3 citations
arXivHTMLPDF

Abstract

We implement a variational quantum algorithm to investigate the chiral condensate in a 1 + 1 dimensional SU(2) non-Abelian gauge theory. The algorithm is evaluated using a proposed Monte Carlo sampling method, which allows the extension to large qubit systems. The obtained results through quantum simulations on classical and actual quantum hardware are in good agreement with exact diagonalization of the lattice Hamiltonian, revealing the phenomena of chiral symmetry breaking and restoration as functions of both temperature and chemical potential. Our findings underscore the potential of near-term quantum computing for exploring QCD systems at finite temperature and density in non-Abelian gauge theories.

DOI
10.1103/physrevd.111.056031

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