Related papers: Primitive Quantum Gates for an $SU(2)$ Discrete Subgroup: Binary Octahedral

Primitive Quantum Gates for an $SU(2)$ Discrete Subgroup: Binary Octahedral

URL: http://arxiv.org/abs/2312.10285v1
Date: Sat, 16 Dec 2023 01:46:01 GMT
Title: Primitive Quantum Gates for an $SU(2)$ Discrete Subgroup: Binary Octahedral
Authors: Erik J. Gustafson, Henry Lamm, Felicity Lovelace
Abstract summary: We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral ($mathbbBO$) group. This nonabelian discrete group better approximates $SU(2)$ lattice gauge theory than previous work on the binary tetrahedral group.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral ($\mathbb{BO}$) group. This nonabelian discrete group better approximates $SU(2)$ lattice gauge theory than previous work on the binary tetrahedral group at the cost of one additional qubit -- for a total of six -- per gauge link. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the $\mathbb{BO}$ Fourier transform.

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