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Primitive Quantum Gates for an $SU(2)$ Discrete Subgroup: Binary Octahedral

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arxiv 2312.10285 v1 pith:YXEFPRQH submitted 2023-12-16 hep-lat quant-ph

Erik J. Gustafson , Henry Lamm , Felicity Lovelace This is my paper · ORCID
classification hep-latquant-ph
keywords gategroupbinarydiscretegaugemathbboctahedralprimitive
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral ($\mathbb{BO}$) group. This nonabelian discrete group better approximates $SU(2)$ lattice gauge theory than previous work on the binary tetrahedral group at the cost of one additional qubit -- for a total of six -- per gauge link. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the $\mathbb{BO}$ Fourier transform.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Proposed qudit circuits simulate meson-antimeson scattering in a spin-1 U(1) lattice gauge theory and remain accurate under realistic dephasing and depolarization noise.

  2. Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics

    quant-ph 2025-07 conditional novelty 6.0 of 10

    A matter-integrated-out reformulation of 2+1D U(1) quantum link electrodynamics is translated into explicit qudit circuits, with Trotterized simulations matching exact dynamics on small lattices.

  3. String Breaking Dynamics and Glueball Formation in a $2+1$D Lattice Gauge Theory

    hep-lat 2025-07 accept novelty 6.0 of 10

    In a 2+1D Z2 lattice gauge theory, string breaking happens only at specific resonances set by field strength and matter mass, while long strings can dynamically form closed electric loops analogous to glueballs.

  4. Observation of hadron scattering in a lattice gauge theory on a quantum computer

    quant-ph 2025-05 conditional novelty 6.0 of 10

    The authors observe elastic and confined scattering, plus mass-quench-induced inelastic dynamics, in a 1+1D U(1) lattice gauge theory on IBM quantum hardware.

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