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DOE OSTI · 2437795

Primitive quantum gates for an S U ( 3 ) discrete subgroup: Σ ( 36 × 3 )

Gustafson, Erik J. (ORCID:0000000172175692)·Ji, Yao (ORCID:0000000312106083)·Lamm, Henry (ORCID:0000000330330791)·Murairi, Edison M. (ORCID:0000000216396308)·Perez, Sebastian Osorio·Zhu, Shuchen (ORCID:0000000212402002)
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Abstract

We construct the primitive gate set for the digital quantum simulation of the 108-element Σ ( 36 × 3 ) group. This is the first time a non-Abelian crystal-like subgroup of S U ( 3 ) has been constructed for quantum simulation. The gauge link registers and necessary primitives—the inversion gate, the group multiplication gate, the trace gate, and the Σ ( 36 × 3 ) Fourier transform—are presented for both an eight-qubit encoding and a heterogeneous three-qutrit plus two-qubit register. For the latter, a specialized compiler was developed for decomposing arbitrary unitaries onto this architecture. Published by the American Physical Society 2024

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75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYlattice QCDlattice gauge theorynon-abelian gauge theoriesquantum circuitsquantum computation

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BibTeXRIS

Gustafson, Erik J. (ORCID:0000000172175692), Ji, Yao (ORCID:0000000312106083), Lamm, Henry (ORCID:0000000330330791), Murairi, Edison M. (ORCID:0000000216396308), Perez, Sebastian Osorio, Zhu, Shuchen (ORCID:0000000212402002). 2024-08-23. Primitive quantum gates for an S U ( 3 ) discrete subgroup: Σ ( 36 × 3 ). https://doi.org/10.1103/physrevd.110.034515

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