Work

Primitive quantum gates for an SU(2) discrete subgroup: Binary tetrahedral

Year: 2022

Type: article

Abstract: We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral ($\mathbb{BT}$) group on two quantum architectures. This non-Abelian discrete group serves as a crude approximation to $SU(2)$ lattice gauge theory while requiring five qubits or one quicosotetrit per gauge link. The necessary basic primitives are the inversion gate, the group multiplication gate, the trace gate, and the $\mathbb{BT}$ Fourier transform over $\mathbb{BT}$. We experimentally benchmark the inversion and trace gates on ibm_nairobi, with estimated fidelities between 14%--55%, depending on the input state.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.106.114501

Authors: Erik J. Gustafson, Henry Lamm, Felicity Lovelace, Damian Musk

Institutions: Fermi National Accelerator Laboratory, University of Illinois Chicago, Stanford University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Office of Science, Fermilab