Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems

TL;DR

This paper extends nonadiabatic holonomic quantum gates to off-resonant $ extbackslash Lambda$ systems, enabling flexible single-qubit operations by tuning laser parameters, thus broadening the applicability of holonomic quantum computation.

Contribution

It generalizes previous resonant-based holonomic gates to off-resonant systems, allowing more versatile control of single-qubit gates through laser parameter adjustments.

Findings

Single-qubit gates can be implemented off-resonantly.

Detuning, amplitude, and phase control enable holonomic gates.

The method broadens the scope of holonomic quantum computation.

Abstract

We generalize nonadiabatic holonomic quantum computation in a resonant $\Lambda$ configuration proposed in [New J. Phys. 14 (2012) 103035] to the case of off-resonant driving lasers. We show that any single-qubit holonomic gate can be realized by separately varying the detuning, amplitude, and phase of the lasers.