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Quantum simulation of scattering amplitudes and interferences in perturbative QCD

Mathieu Pellen, Simon Williams, Herschel A. Chawdhry

The European Physical Journal C | Aug 11, 2026

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This article shows how quantum computers can be employed to naturally calculate Feynman diagrams and their interferences in Quantum Chromodynamics (QCD), and simulates the colour parts of the interactions directly on the quantum computer, while the kinematic parts are for now pre-computed classically.

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Abstract A flagship application of quantum computers is the simulation of other quantum systems, including quantum field theories. In this article, we show how quantum computers can be employed to naturally calculate Feynman diagrams and their interferences in Quantum Chromodynamics (QCD). We simulate the colour parts of the interactions directly on the quantum computer, while the kinematic parts are for now pre-computed classically. For processes where some of the external particles are identical, we find the first hints of a potential quantum advantage. We validate our techniques using simulated quantum computers. Furthermore, for toy examples we also demonstrate our algorithms on a 56-qubit trapped-ion quantum computer. The work constitutes a further key step towards a full quantum simulation of generic perturbative QCD processes.

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Authors

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Mathieu Pellen

middle | University of Freiburg | ORCID 0000-0001-5324-2765

Simon Williams

last | Durham University | ORCID 0000-0001-8540-0780

Herschel A. Chawdhry

first | Florida State University | ORCID 0000-0002-2901-3353

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Citation

BibTeX

@article{Pellen2026Quantum,
  title = {Quantum simulation of scattering amplitudes and interferences in perturbative QCD},
  author = {Mathieu Pellen and Simon Williams and Herschel A. Chawdhry},
  journal = {The European Physical Journal C},
  year = {2026},
  doi = {10.1140/epjc/s10052-026-16121-0},
  url = {https://doi.org/10.1140/epjc/s10052-026-16121-0}
}

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