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

Gustafson, Erik J.; Lamm, Henry; Lovelace, Felicity

doi:10.1103/PhysRevD.109.054503

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

Journal Article · 13 March 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.054503 · OSTI ID:2323580

; Lamm, Henry; Lovelace, Felicity

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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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: National Aeronautics and Space Administration (NASA); USDOE; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2323580

Report Number(s):: FERMILAB-PUB--23-753-SQMS-T; arXiv:2312.10285; 054503

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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

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