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Quantum error thresholds for gauge-redundant digitizations of lattice field theories

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arxiv 2402.16780 v1 pith:CGJYAHGI submitted 2024-02-26 hep-lat quant-ph

Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu This is my paper · ORCID
classification hep-latquant-ph
keywords gaugequantumerrorlatticetheoriescorrectdigitizationerrors
verification ladder T0 review T1 audit T2 compute T3 formal
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In the quantum simulation of lattice gauge theories, gauge symmetry can be either fixed or encoded as a redundancy of the Hilbert space. While gauge-fixing reduces the number of qubits, keeping the gauge redundancy can provide code space to mitigate and correct quantum errors by checking and restoring Gauss's law. In this work, we consider the correctable errors for generic finite gauge groups and design the quantum circuits to detect and correct them. We calculate the error thresholds below which the gauge-redundant digitization with Gauss's law error correction has better fidelity than the gauge-fixed digitization. Our results provide guidance for fault-tolerant quantum simulations of lattice gauge theories.

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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. Confinement as Decoding: Higher Form Codes and Lattice Yang-Mills Theory

    hep-th 2026-08 conditional novelty 6.0 of 10

    Decoding a higher-form quantum code with Wilson-line noise is the same computation as comparing center-twisted Yang-Mills partition functions; the paper works out this dictionary and its strong-coupling consequences.

  4. Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory

    hep-lat 2026-07 accept novelty 6.0 of 10

    Gauss's law constraints in Z2 lattice gauge theory can be made into quantum error-correcting codes of arbitrary distance, with provably optimal encoding rate within the constructed family.

  5. Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Partially fault-tolerant [[4,2,2]] Iceberg-code simulations on ibm_boston improve local Ising observables over unencoded baselines by a few percent in 1D and over 200% in 2D at late times via Observable-Ranked Postselection.

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

    quant-ph 2025-11 conditional novelty 6.0 of 10

    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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