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General Methods for Digital Quantum Simulation of Gauge Theories

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arxiv 1903.08807 v3 pith:TZHJEKLI submitted 2019-03-20 hep-lat cond-mat.str-elnucl-thquant-ph

Henry Lamm , Scott Lawrence , Yukari Yamauchi (for the NuQS Collaboration) This is my paper · ORCID
classification hep-latcond-mat.str-elnucl-thquant-ph
keywords gaugedigitalgeneralprocedurequantumsimulationtheoriescomputer
verification ladder T0 review T1 audit T2 compute T3 formal
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A general scheme is presented for simulating gauge theories, with matter fields, on a digital quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is constructed, and a procedure for obtaining time-separated, gauge-invariant operators is detailed. We demonstrate the procedure on small lattices, including the simulation of a 2+1D non-Abelian gauge theory.

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Cited by 5 Pith papers

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

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    QSP implements the overlap fermion Hamiltonian with Ginsparg-Wilson violation O(ε_e) at cost only a log(1/ε_e)/κ factor above Wilson-Dirac, trading qubits for gates versus domain-wall fermions.

  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. Quantum computation of hadron scattering in a lattice gauge theory

    quant-ph 2025-05 conditional novelty 6.0 of 10

    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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