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SU(2) lattice gauge theory on a quantum annealer

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arxiv 2103.08661 v2 pith:7FZCT663 submitted 2021-03-15 hep-lat quant-ph

Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell This is my paper · ORCID
classification hep-latquant-ph
keywords gaugelatticequantumtheoryannealerhardwarebeencalculations
verification ladder T0 review T1 audit T2 compute T3 formal

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Lattice gauge theory is an essential tool for strongly interacting non-Abelian fields, such as those in quantum chromodynamics where lattice results have been of central importance for several decades. Recent studies suggest that quantum computers could extend the reach of lattice gauge theory in dramatic ways, but the usefulness of quantum annealing hardware for lattice gauge theory has not yet been explored. In this work, we implement SU(2) pure gauge theory on a quantum annealer for lattices comprising a few plaquettes in a row with a periodic boundary condition. These plaquettes are in two spatial dimensions and calculations use the Hamiltonian formulation where time is not discretized. Numerical results are obtained from calculations on D-Wave Advantage hardware for eigenvalues, eigenvectors, vacuum expectation values, and time evolution. The success of this initial exploration indicates that the quantum annealer might become a useful hardware platform for some aspects of lattice gauge theories.

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Cited by 5 Pith papers

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  1. Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories

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    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.

  2. Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories

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    The paper introduces the SBTE protocol, which treats approximate time evolution error as negligible once it is below statistical uncertainty, and shows this makes continuum-limit renormalization in lattice gauge theor...

  3. Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice

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    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.

  4. Dynamical Local Tadpole-Improvement in Quantum Simulations of Gauge Theories

    quant-ph 2025-04 conditional novelty 6.0 of 10

    Tadpole improvement factors in real-time lattice gauge theory simulations are state- and time-dependent and should be updated self-consistently at each time step.

  5. Quantum sampling on a quantum annealer for large volumes in the strong coupling limit for gauge group U(3)

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A hybrid quantum annealer plus Metropolis-Hastings scheme reproduces classical Monte Carlo results for strong-coupling U(3) gauge theory on lattices up to 32x32 and 8^3x4.

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