This work addresses the “speed-fidelity tradeoff” bottleneck in Mølmer-Sørensen (MS) entangling gates for ion-trap quantum computing by proposing a quantum entangling gate design based on the symmetry-induced transparency (SIT) in Floquet theory. By elucidating the physical essence of the SIT effect, the research reveals that SIT can serve as an effective mechanism for quantum state-selective control. Based on this theoretical mechanism, we designed a scheme to successfully suppress the off-resonant carrier excitation of the entanglement gate, and thereby provided intrinsic protection for entanglement gate operations. Theoretical analysis and numerical simulations show that, for a laser-ion coupling strength $\mathrm{\Omega }=0.9\left(2\pi \right)\mathrm{MHz}$, when the modulation parameters are set to the SIT point values [${\omega }_{\text{m}}=1.08\left(2\pi \right)\mathrm{MHz}$ and $2{\epsilon }_{\text{m}}/{\omega }_{\text{m}}=5.422$], our scheme achieves a gate fidelity of 99.74%. This surpasses the 82.30% fidelity of traditional MS gates under identical duration and coupling strength. Furthermore, the Floquet entangling gate achieves 99.9% fidelity fastest at $24.7\mu \mathrm{s}$, which is superior to the conventional MS gate's $34.6\mu \mathrm{s}$. This study presents a paradigm for the design of high-fidelity rapid quantum gates with Floquet engineering.

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• Quantum computation
• Quantum control
• Quantum engineering