Math @ Duke
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Publications [#380973] of Shuchen Zhu
Papers Published
- Gustafson, EJ; Ji, Y; Lamm, H; Murairi, EM; Perez, SO; Zhu, S, Primitive quantum gates for an SU (3) discrete subgroup: ς (36×3),
Physical Review D, vol. 110 no. 3
(August, 2024), American Physical Society (APS) [doi]
(last updated on 2025/07/04)
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 SU(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.
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