Primitive quantum gates for an S U ( 2 ) discrete subgroup: Binary octahedral

Gustafson, Erik J. (ORCID:0000000172175692); Lamm, Henry; Lovelace, Felicity

doi:10.1103/physrevd.109.054503

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Primitive quantum gates for an S U ( 2 ) discrete subgroup: Binary octahedral

Gustafson, Erik J. (ORCID:0000000172175692)·Lamm, Henry·Lovelace, Felicity

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Abstract

We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral ( BO ) group. This non-Abelian discrete group better approximates S U ( 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 BO Fourier transform. Published by the American Physical Society 2024

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS lattice field theory lattice gauge theory non-Abelian gauge theories quantum circuits quantum gates quantum simulation

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Gustafson, Erik J. (ORCID:0000000172175692), Lamm, Henry, Lovelace, Felicity. 2024-03-13. Primitive quantum gates for an S U ( 2 ) discrete subgroup: Binary octahedral. https://doi.org/10.1103/physrevd.109.054503

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