A quantum algorithm for the n-gluon MHV scattering amplitude

• URL: http://arxiv.org/abs/2507.14252v1
• Date: Fri, 18 Jul 2025 10:23:00 GMT
• Title: A quantum algorithm for the n-gluon MHV scattering amplitude
• Authors: Erik Bashore, Stefano Moretti, Timea Vitos,
• Abstract summary: We propose a quantum algorithm for computing the n-gluon maximally helicity violating (MHV) tree-level scattering amplitude.<n>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.
• Score: 2.7855886538423182
• License: http://creativecommons.org/licenses/by/4.0/
• 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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