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Quantum integration of elementary particle processes

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arxiv 2201.01547 v2 pith:FA6PVYK4 submitted 2022-01-05 hep-ph quant-ph

classification hep-phquant-ph
keywords quantumintegrationprocessesdistributionselementarymethodaccurateadvantage
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We apply quantum integration to elementary particle-physics processes. In particular, we look at scattering processes such as ${\rm e}^+{\rm e}^- \to q \bar q$ and ${\rm e}^+{\rm e}^- \to q \bar q' {\rm W}$. The corresponding probability distributions can be first appropriately loaded on a quantum computer using either quantum Generative Adversarial Networks or an exact method. The distributions are then integrated sing the method of Quantum Amplitude Estimation which shows a quadratic speed-up with respect to classical techniques. In simulations of noiseless quantum computers, we obtain per-cent accurate results for one- and two-dimensional integration with up to six qubits. This work paves the way towards taking advantage of quantum algorithms for the integration of high-energy processes.

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Cited by 4 Pith papers

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

  1. Quantum simulation of scattering amplitudes and interferences in perturbative QCD

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A quantum circuit encodes QCD colour factors and diagram interferences in a measurement probability, with permuted identical-particle diagrams generated by swap sorting networks.

  2. Unlocking Multidimensional Integration with Quantum Adaptive Importance Sampling

    quant-ph 2025-06 conditional novelty 6.0 of 10

    QAIS uses a parameterized quantum circuit to allocate Monte Carlo samples along a learned non-separable density and achieves VEGAS-competitive or better accuracy on correlated integrands in simulation.

  3. Quantum algorithms for the simulation of QCD processes in the perturbative regime

    hep-ph 2024-12 conditional novelty 3.0 of 10

    Quantum circuits for the colour algebra of perturbative QCD are presented and validated on a simulator, matching analytic colour factors for example diagrams.

  4. Overview of Applications of Quantum Computing in QCD

    hep-ph 2026-07 accept novelty 2.0 of 10

    A concise literature overview of quantum algorithms for QCD and collider tasks, stressing possible advantages over classical methods and NISQ hardware limits.

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