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arXiv · 2507.14252

A quantum algorithm for the n-gluon MHV scattering amplitude

Erik Bashore·Stefano Moretti·Timea Vitos
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Abstract

We propose a quantum algorithm for computing the n-gluon maximally helicity violating (MHV) tree-level scattering amplitude. We revisit a newly proposed method for unitarisation of non-unitary operations and present how this implementation can be used to create quantum gates responsible for the color and kinematic factors of the gluon scattering amplitude. As a proof-of-concept, we detail the full conceptual algorithm that yields the squared amplitude and implement the corresponding building blocks on simulated noiseless quantum circuits for n = 4 to analyze its performance. The algorithm is found to perform well with parameter optimizations, suggesting it to be a good candidate for implementing on quantum computers also for higher multiplicities.

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Erik Bashore, Stefano Moretti, Timea Vitos. 2025-07-18. A quantum algorithm for the n-gluon MHV scattering amplitude. https://doi.org/10.21468/scipostphys.20.4.114

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