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Trapped Ion Quantum Computing

Quantum Computational Structure of SU(N) Scattering

arXiv

Authors: Navin McGinnis

Year

2025

Paper ID

17184

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We study scattering of particles which obey an SU(N) global symmetry through the lens of quantum computation and quantum algorithms. We show that for scattering between particles which transform in the fundamental or anti-fundamental representations, i.e. qudits, all 2-2 scattering amplitudes can be constructed from only three quantum gates. Further, for any N, all 2-2 scattering channels are shown to emerge from the span of a mathbb{Z}₂ algebra, suggesting that scattering in this context is fundamentally governed by the action of "bit flips" on the internal quantum numbers. We frame these findings in terms of quantum algorithms constructed from Linear Combinations of Unitaries and block encoding.

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We study scattering of particles which obey an SU(N) global symmetry through the lens of quantum computation and quantum algorithms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.10550 [2] arXiv https://arxiv.org/abs/2511.10550 [3] Publisher https://arxiv.org/abs/2511.10550

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