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A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
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Maintaining local interactions in the quantum simulation of gauge field theories relegates most states in the Hilbert space to be unphysical -- theoretically benign, but experimentally difficult to avoid. Reformulations of the gauge fields can modify the ratio of physical to gauge-variant states often through classically preprocessing the Hilbert space and modifying the representation of the field on qubit degrees of freedom. This paper considers the implications of representing SU(3) Yang-Mills gauge theory on a lattice of irreducible representations in both a global basis of projected global quantum numbers and a local basis in which controlled-plaquette operators support efficient time evolution. Classically integrating over the internal gauge space at each vertex (e.g., color isospin and color hypercharge) significantly reduces both the qubit requirements and the dimensionality of the unphysical Hilbert space. Initiating tuning procedures that may inform future calculations at scale, the time evolution of one- and two-plaquettes are implemented on one of IBM's superconducting quantum devices, and early benchmark quantities are identified. The potential advantages of qudit environments, with either constrained 2D hexagonal or 1D nearest-neighbor internal state connectivity, are discussed for future large-scale calculations.
Forward citations
Cited by 11 Pith papers
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.
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Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations
A qudit-based circuit for SU(2) lattice gauge theory on a cube, with improved decompositions for uniformly-controlled rotations and new elementary-gate resource estimates.
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Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories
Gauss's law constraints in jmax=1/2 SU(2) lattice gauge theory are converted into stabilizer codes that correct single-qubit errors using about 9N or 12N physical qubits per N plaquettes.
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Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers
Proposed qudit circuits simulate meson-antimeson scattering in a spin-1 U(1) lattice gauge theory and remain accurate under realistic dephasing and depolarization noise.
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Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics
A matter-integrated-out reformulation of 2+1D U(1) quantum link electrodynamics is translated into explicit qudit circuits, with Trotterized simulations matching exact dynamics on small lattices.
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String Breaking Dynamics and Glueball Formation in a $2+1$D Lattice Gauge Theory
In a 2+1D Z2 lattice gauge theory, string breaking happens only at specific resonances set by field strength and matter mass, while long strings can dynamically form closed electric loops analogous to glueballs.
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Ultracoherent superconducting cavity-based multiqudit platform with error-resilient control
Demonstrates a two-mode SRF cavity platform with 20.6 ms and 15.6 ms lifetimes, error-resilient sideband control, Fock state preparation up to n=20 with >95% post-selected fidelity, and a virtual Raman beamsplitter wi...
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Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
The Kogut-Susskind Hamiltonian is recovered from the orbifold lattice Hamiltonian in the infinite scalar mass limit, with numerical confirmation for SU(2) and SU(3) Yang-Mills theory in 2+1 dimensions.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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Observation of hadron scattering in a lattice gauge theory on a quantum computer
The authors observe elastic and confined scattering, plus mass-quench-induced inelastic dynamics, in a 1+1D U(1) lattice gauge theory on IBM quantum hardware.
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Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors
A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.
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