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Quantum Simulation
Primitive Quantum Gates for an SU(3) Discrete Subgroup: Σ\(72times3\)
arXiv
Authors: Sebastian Osorio Perez, Edison M. Murairi, Erik J. Gustafson, Henry Lamm
Year
2025
Paper ID
16796
Status
Preprint
Abstract Read
~2 min
Abstract Words
70
Citations
N/A
Abstract
We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of SU(3): the 216-element Σ\(72times3\). The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the group Fourier transform, for which we provide qubit decompositions. The resulting fault-tolerant T gate costs for a fiducial calculation of shear viscosity would require about 1012 T gates which compares favorably to other modern estimates.
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- We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of SU(3): the 216-element Σ(72times3).
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