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Quantum Simulation of SU(3) Lattice Yang Mills Theory at Leading Order in Large N

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arxiv 2402.10265 v4 pith:LCU537SD submitted 2024-02-15 hep-ph hep-latquant-ph

Anthony N. Ciavarella , Christian W. Bauer This is my paper · ORCID
classification hep-phhep-latquant-ph
keywords gaugehilbertspacelatticequantumdynamicsfieldsinteractions
verification ladder T0 review T1 audit T2 compute T3 formal
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Quantum simulations of the dynamics of QCD have been limited by the complexities of mapping the continuous gauge fields onto quantum computers. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we show how the Hilbert space and interactions can be expanded in inverse powers of N_c. At leading order in this expansion, the Hamiltonian simplifies dramatically, both in the required size of the Hilbert space as well as the type of interactions involved. Adding a truncation of the resulting Hilbert space in terms of local energy states we give explicit constructions that allow simple representations of SU(3) gauge fields on qubits and qutrits. This formulation allows a simulation of the real time dynamics of a SU(3) lattice gauge theory on a 5x5 and 8x8 lattice on ibm_torino with a CNOT depth of 113.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0 of 10

    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.

  2. Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations

    quant-ph 2025-06 conditional novelty 7.0 of 10

    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.

  3. Nonlocal Nonstabilizerness from Holographic Schwinger Pair Production

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In holographic Schwinger pair production, the excess capacity of entanglement is √λ(d−2)/(d−1)³ — positive for d>2, zero for d=2 — so the produced pair carries nonlocal magic for d>2.

  4. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

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

    quant-ph 2025-05 conditional novelty 6.0 of 10

    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.

  6. Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors

    hep-lat 2026-02 reject novelty 5.0 of 10

    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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