Yao Ji

Aug 23, 2024 | link.aps.org | Erik Gustafson |Moffett Field |Yao Ji |Technische Universität München

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.