The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory

Abstract

Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. Schemes for doing this with the minimum amount of qubits are desirable. We present a practical digitization for $SU(3)$ gauge theories via its discrete subgroup $S(1080)$. Using a modified action that allows classical simulations down to $a\approx 0.08$ fm, the low-lying glueball spectrum is computed with percent-level precision at multiple lattice spacings and shown to extrapolate to the continuum limit $SU(3)$ results. This suggests that this digitization scheme is sufficient for precision quantum simulations of QCD.

7 pages, 2 figures

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Cited by in corpus (19)

• Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Improved Hamiltonians for Quantum Simulations
• How many quantum gates do gauge theories require?
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Gauge Theory Couplings on Anisotropic Lattices
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• Gluon Digitization via Character Expansion for Quantum Computers
• Qubitization strategies for bosonic field theories
• Fuzzy gauge theory for quantum computers
• Estimating truncation effects of quantum bosonic systems using sampling algorithms
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• Quantum mean estimation for lattice field theory
• Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$
• Counting gauge-invariant states with matter fields and finite gauge groups