Quantum Computational Structure of $SU(N)$ Scattering
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912707296362496 |
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| author | McGinnis, Navin |
| author_facet | McGinnis, Navin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10550 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Computational Structure of $SU(N)$ Scattering McGinnis, Navin Quantum Physics 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. |
| title | Quantum Computational Structure of $SU(N)$ Scattering |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.10550 |