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Quantum computation of SU(2) lattice gauge theory with continuous variables

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arxiv 2410.14580 v1 pith:HDU75DYS submitted 2024-10-18 hep-lat hep-thnucl-thquant-ph

Victor Ale , Nora M. Bauer , Raghav G. Jha , Felix Ringer , George Siopsis This is my paper · ORCID
classification hep-lathep-thnucl-thquant-ph
keywords gaugequantumcontinuousvariablesdynamicslatticetheoriestheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a quantum computational framework for SU(2) lattice gauge theory, leveraging continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how the system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories.

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Cited by 3 Pith papers

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

  1. Benchmarking trigonometric continuous-variable gate primitives with trapped ions

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Cosine gates exp(-iθ cos(c x̂)) in one- and two-mode versions were implemented on trapped-ion motional modes and benchmarked against noise-inclusive simulations via Fock-space transition probabilities.

  2. Euclidean-Monte-Carlo-informed ground-state preparation for quantum simulation of scalar field theory

    quant-ph 2025-06 conditional novelty 6.0 of 10

    A classical pipeline turns Euclidean Monte Carlo correlation data into a variational ansatz and an efficient quantum circuit for the (1+1)D phi^4 ground state.

  3. Real-Time Scattering Processes with Continuous-Variable Quantum Computers

    quant-ph 2025-02 conditional novelty 5.0 of 10

    A qumode-lattice CVQC framework is used to simulate real-time phi^4 scattering, with free-field two-point functions matching analytic results and scattering dynamics showing expected mass and coupling effects in class...

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