Lattice Quantum Chromodynamics for Quantum Simulations

• URL: http://arxiv.org/abs/2607.26445v1
• Date: Wed, 29 Jul 2026 03:47:40 GMT
• Title: Lattice Quantum Chromodynamics for Quantum Simulations
• Abstract summary: We develop a framework for quantum simulations of lattice SU($N_c$) gauge theory with quarks.<n>We carry out noiseless simulations of lattice quantum chromodynamics on small lattices with up to 32 qubits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a framework for quantum simulations of lattice SU($N_c$) gauge theory with quarks. Staggered and Wilson lattice fermions are considered in two and three spatial dimensions and a theta angle is included in three dimensions. The physical, gauge-invariant Hilbert space is formulated in a representation basis, where gauge and fermionic degrees of freedom are encoded by irreducible representations of SU($N_c$) that tensor at each lattice site to contain a singlet. We discuss algorithms for simulating time evolution on quantum computers and carry out noiseless simulations of lattice quantum chromodynamics ($N_c=3$) on small lattices with up to 32 qubits, showcasing theta angle effects, hadronic states, string dynamics, and a baryon chemical potential for the first time in three spatial dimensions.

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