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

Gustafson, Erik J.; Ji, Yao; Lamm, Henry; Murairi, Edison M.; Perez, Sebastian Osorio; Zhu, Shuchen

doi:10.1103/PhysRevD.110.034515

Primitive quantum gates for an $S U (3)$ discrete subgroup: $Σ (36 \times 3)$

Journal Article · Thu Aug 22 20:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.034515· OSTI ID:2437795

; ; ; ; Perez, Sebastian Osorio;

We construct the primitive gate set for the digital quantum simulation of the 108-element $Σ (36 \times 3)$ 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 $Σ (36 \times 3)$ 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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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-95ER40907; AC02-07CH11359

OSTI ID:: 2437795

Alternate ID(s):: OSTI ID: 2439283

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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BQP-completeness of scattering in scalar quantum field theory Jordan, Stephen P.; Krovi, Hari; Lee, Keith S. M. Quantum, Vol. 2 https://doi.org/10.22331/q-2018-01-08-44	journal	January 2018
Quantum Algorithms for Simulating the Lattice Schwinger Model Shaw, Alexander F.; Lougovski, Pavel; Stryker, Jesse R. Quantum, Vol. 4 https://doi.org/10.22331/q-2020-08-10-306	journal	August 2020
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics Haase, Jan F.; Dellantonio, Luca; Celi, Alessio Quantum, Vol. 5 https://doi.org/10.22331/q-2021-02-04-393	journal	February 2021
The 2T-qutrit, a two-mode bosonic qutrit Denys, Aurélie; Leverrier, Anthony Quantum, Vol. 7 https://doi.org/10.22331/q-2023-06-05-1032	journal	June 2023
Fermion-qudit quantum processors for simulating lattice gauge theories with matter Zache, Torsten V.; González-Cuadra, Daniel; Zoller, Peter Quantum, Vol. 7 https://doi.org/10.22331/q-2023-10-16-1140	journal	October 2023
Spacetime-Efficient Low-Depth Quantum State Preparation with Applications Gui, Kaiwen; Dalzell, Alexander M.; Achille, Alessandro Quantum, Vol. 8 https://doi.org/10.22331/q-2024-02-15-1257	journal	February 2024
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Efficient Clifford+T approximation of single-qubit operators Selinger, Peter Quantum Information and Computation, Vol. 15, Issue 1&2 https://doi.org/10.26421/QIC15.1-2-10	journal	January 2015
Light-Front Field Theory on Current Quantum Computers Kreshchuk, Michael; Jia, Shaoyang; Kirby, William M. Entropy, Vol. 23, Issue 5 https://doi.org/10.3390/e23050597	journal	May 2021

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Primitive quantum gates for an $S U (3)$ discrete subgroup: $Σ (36 \times 3)$