Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $\Sigma(72\times3)$
High Energy Physics - Lattice
2025-11-24 v1 Quantum Physics
Abstract
We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of : the 216-element . 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 T gates which compares favorably to other modern estimates.
Cite
@article{arxiv.2511.17437,
title = {Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $\Sigma(72\times3)$},
author = {Sebastian Osorio Perez and Edison M. Murairi and Erik J. Gustafson and Henry Lamm},
journal= {arXiv preprint arXiv:2511.17437},
year = {2025}
}
Comments
13 pages, 17 figures