# Holonomic Quantum Control by Coherent Optical Excitation in Diamond

## TL;DR

This paper demonstrates a method for implementing robust single-qubit holonomic gates in diamond using a single non-adiabatic optical cycle, enhancing control and resilience against decoherence.

## Contribution

It introduces a novel approach for fast, robust holonomic quantum control with a single cycle, reducing complexity and improving performance in diamond-based qubits.

## Key findings

- Single-cycle non-adiabatic holonomic gates achieved
- Detuned gates show increased robustness to decoherence
- Insights into optimizing fast holonomic control in dissipative systems

## Abstract

Although geometric phases in quantum evolution were historically overlooked, their active control now stimulates strategies for constructing robust quantum technologies. Here, we demonstrate arbitrary single-qubit holonomic gates from a single cycle of non-adiabatic evolution, eliminating the need to concatenate two separate cycles. Our method varies the amplitude, phase, and detuning of a two-tone optical field to control the non-Abelian geometric phase acquired by a nitrogen-vacancy center in diamond over a coherent excitation cycle. We demonstrate the enhanced robustness of detuned gates to excited-state decoherence and provide insights for optimizing fast holonomic control in dissipative quantum systems.