A quantum algorithm for the n-gluon MHV scattering amplitude
A quantum algorithm for the n-gluon MHV scattering amplitude
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.
hep-ph, hep-th, quant-ph
Bashore, Erik
3955e60c-46bf-4b37-876a-6e80fe0af0b8
Moretti, Stefano
b57cf0f0-4bc3-4e02-96e3-071255366614
Vitos, Timea
06a7476d-4a67-4caf-9842-69a6a5ae216c
Bashore, Erik
3955e60c-46bf-4b37-876a-6e80fe0af0b8
Moretti, Stefano
b57cf0f0-4bc3-4e02-96e3-071255366614
Vitos, Timea
06a7476d-4a67-4caf-9842-69a6a5ae216c
[Unknown type: UNSPECIFIED]
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.
Text
2507.14252v1
- Author's Original
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Accepted/In Press date: 18 July 2025
Additional Information:
32 pages, 15 figures, 7 tables
Keywords:
hep-ph, hep-th, quant-ph
Identifiers
Local EPrints ID: 506699
URI: http://eprints.soton.ac.uk/id/eprint/506699
PURE UUID: 735beef5-9fc9-49b3-ada7-5469ed813a58
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Date deposited: 14 Nov 2025 17:32
Last modified: 15 Nov 2025 02:40
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Contributors
Author:
Erik Bashore
Author:
Timea Vitos
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