Quantum Computational Structure of $SU(N)$ Scattering

• URL: http://arxiv.org/abs/2511.10550v1
• Date: Fri, 14 Nov 2025 01:57:31 GMT
• Title: Quantum Computational Structure of $SU(N)$ Scattering
• Authors: Navin McGinnis,
• Abstract summary: We study scattering of particles which obey an $SU(N)$ global symmetry.<n>For any $N$, all 2-2 scattering channels are shown to emerge from the span of a $mathbbZ_2$ algebra.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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