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SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers

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arxiv 1908.06935 v1 pith:3WNQQSNR submitted 2019-08-19 quant-ph hep-lathep-phnucl-th

Natalie Klco , Jesse R. Stryker , Martin J. Savage This is my paper
classification quant-phhep-lathep-phnucl-th
keywords gaugequantumangularmappingmomentumnon-abelianpresentedqubit
verification ladder T0 review T1 audit T2 compute T3 formal
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An improved mapping of one-dimensional SU(2) non-Abelian gauge theory onto qubit degrees of freedom is presented. This new mapping allows for a reduced unphysical Hilbert space. Insensitivity to interactions within this unphysical space is exploited to design more efficient quantum circuits. Local gauge symmetry is used to analytically incorporate the angular momentum alignment, leading to qubit registers encoding the total angular momentum on each link. The results of a multi-plaquette calculation on IBM's quantum hardware are presented.

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Cited by 12 Pith papers

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

  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. String dynamics of a (2+1)D U(1) quantum link model on a digital quantum computer

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.

  3. Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory

    quant-ph 2026-05 unverdicted novelty 6.0 of 10

    Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plu...

  4. Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators

    quant-ph 2026-04 unverdicted novelty 6.0 of 10

    Qudit encodings for quadratic diagonal evolutions require exponentially stronger synthesis advantages than qubits to win asymptotically in product formulas but can yield constant-factor savings in LCU at low d.

  5. Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators

    quant-ph 2026-04 conditional novelty 6.0 of 10

    For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.

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

    hep-lat 2026-03 conditional novelty 6.0 of 10

    Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.

  7. A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D

    quant-ph 2025-12 conditional novelty 6.0 of 10

    A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.

  8. 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.

  9. Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory

    hep-lat 2025-09 conditional novelty 6.0 of 10

    A site-singlet energy truncation plus strong-coupling-perturbation-inspired circuits prepares SU(3) lattice gauge theory ground states with percent-level fidelity at g≈1 on small lattices, with reduced resource costs.

  10. Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators

    quant-ph 2026-04 unverdicted novelty 5.0 of 10

    The paper derives explicit finite-d break-even synthesis costs for qudit vs. qubit encodings of diagonal quadratic operators in product-formula and LCU simulations, identifying low-d regions where qudits yield savings.

  11. 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.

  12. Quantum Simulation of Gauge Theories for Particle and Nuclear Physics

    hep-lat 2026-05 unverdicted novelty 3.0 of 10

    The talk summarizes the quantum simulation program for lattice gauge theories, covering target problems in dense matter, algorithmic strategies, recent progress, and remaining challenges.

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