Hyperfine Dependence of Nuclear-Spin Rabi Frequencies in Silicon Donors

Area of Science:

• Quantum Computing
• Solid-State Physics
• Quantum Information Science

Background:

• Nuclear spins in donor systems are leading candidates for quantum computing qubits.
• Precise control over individual nuclear spins is essential for building scalable quantum processors.

Purpose of the Study:

• To demonstrate individual, high-fidelity coherent control of four phosphorus nuclear spins in a silicon donor cluster.
• To investigate the influence of hyperfine interactions on nuclear spin control under varying electron spin states.
• To validate theoretical models of nuclear spin dynamics using experimental data.

Main Methods:

• Experimental demonstration of coherent control for four coupled phosphorus nuclear spins.
• Theoretical investigation of hyperfine interaction effects on nuclear Rabi frequencies.
• In situ calibration of driving magnetic fields using ionized bare nuclei as atomic-scale sensors.

Main Results:

• Achieved individual, high-fidelity coherent control of four phosphorus nuclear spins.
• Validated theoretical models predicting the modulation of nuclear Rabi frequencies by hyperfine interactions.
• Demonstrated excellent agreement between theoretical predictions and experimental outcomes.

Conclusions:

• Hyperfine interactions play a critical role in the coherent control of nuclear spins.
• The findings offer a new approach for designing fast, high-fidelity single-qubit gates in donor-based quantum computing.
• This work advances the development of silicon-based quantum processors.