Universal holonomic single quantum gates over a geometric spin with phase-modulated polarized light

Area of Science:

• Quantum Information Science
• Solid-State Physics
• Optics

Background:

• Geometric quantum gates offer robustness against noise.
• Nitrogen-vacancy (NV) centers in diamond are promising qubits.
• Non-abelian holonomic gates are essential for universal quantum computation.

Purpose of the Study:

• To demonstrate universal non-adiabatic non-abelian holonomic single quantum gates.
• To utilize geometric electron spin manipulation with phase-modulated polarized light.
• To achieve high fidelity in quantum gate operations.

Main Methods:

• Employing a degenerate three-level Λ-type system in a negatively charged nitrogen-vacancy center in diamond.
• Using phase-modulated polarized light for geometric rotation control.
• Leveraging resonant control light to an ancillary excited state.

Main Results:

• Demonstrated universal non-adiabatic non-abelian holonomic single quantum gates.
• Achieved 93% average fidelity for the quantum gates.
• Enabled purely geometric rotation around arbitrary axes by any angle.
• Showcased fast, low-power, and precise gate operations.

Conclusions:

• The demonstrated holonomic gate is precise and robust against control errors and environmental noise.
• The method allows for pulse shaping to further enhance fidelity.
• This approach is a significant step towards practical quantum computing using diamond NV centers.