Primitive quantum gates for an
SU(3)
discrete subgroup:
Σ(36×3)
Erik J. Gustafson,
Yao Ji,
Henry Lamm
et al.
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 wa… Show more
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