# Fast holonomic quantum computation based on solid-state spins with all-optical control

## TL;DR

This paper presents a fast, all-optical scheme for holonomic quantum computation using nitrogen-vacancy center spins in solid-state systems, enabling robust quantum gates with noise resilience.

## Contribution

It introduces a novel nonadiabatic holonomic quantum computation scheme with all-optical control on solid-state spins, including single- and two-qubit gates, leveraging cavity-assisted interactions.

## Key findings

- Realization of arbitrary single-qubit holonomic gates via laser parameter variation.
- Implementation of nontrivial two-qubit holonomic gates using cavity interactions.
- All gates achieved through geometric optical manipulation, enhancing robustness.

## Abstract

Holonomic quantum computation is a quantum computation strategy that promises some built-in noise-resilience features. Here, we propose a scheme for nonadiabatic holonomic quantum computation with nitrogen-vacancy center electron spins, which are characterized by fast quantum gates and long qubit coherence times. By varying the detuning, amplitudes, and phase difference of lasers applied to a nitrogen-vacancy center, one can directly realize an arbitrary single-qubit holonomic gate on the spin. Meanwhile, with the help of cavity-assisted interactions, a nontrivial two-qubit holonomic quantum gate can also be induced. The distinct merit of this scheme is that all the quantum gates are obtained via an all-optical geometric manipulation of the solid-state spins. Therefore, our scheme opens the possibility for robust quantum computation using solid-state spins in an all-optical way.