A quantum algorithm for the n-gluon MHV scattering amplitude
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915939786686464 |
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| author | Bashore, Erik Moretti, Stefano Vitos, Timea |
| author_facet | Bashore, Erik Moretti, Stefano Vitos, Timea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A quantum algorithm for the n-gluon MHV scattering amplitude Bashore, Erik Moretti, Stefano Vitos, Timea High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics 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. |
| title | A quantum algorithm for the n-gluon MHV scattering amplitude |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2507.14252 |