Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $Σ(72\times3)$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912723189628928 |
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| author | Perez, Sebastian Osorio Murairi, Edison M. Gustafson, Erik J. Lamm, Henry |
| author_facet | Perez, Sebastian Osorio Murairi, Edison M. Gustafson, Erik J. Lamm, Henry |
| contents | We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of $SU(3)$: the 216-element $Σ(72\times3)$. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the group Fourier transform, for which we provide qubit decompositions. The resulting fault-tolerant T gate costs for a fiducial calculation of shear viscosity would require about $10^{12}$ T gates which compares favorably to other modern estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $Σ(72\times3)$ Perez, Sebastian Osorio Murairi, Edison M. Gustafson, Erik J. Lamm, Henry High Energy Physics - Lattice Quantum Physics We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of $SU(3)$: the 216-element $Σ(72\times3)$. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the group Fourier transform, for which we provide qubit decompositions. The resulting fault-tolerant T gate costs for a fiducial calculation of shear viscosity would require about $10^{12}$ T gates which compares favorably to other modern estimates. |
| title | Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $Σ(72\times3)$ |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2511.17437 |