Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers

TL;DR

This paper proposes a cavity QED scheme using nitrogen-vacancy centers for non-adiabatic holonomic quantum computation within decoherence-free subspaces, enabling robust universal quantum gates with long-coherence solid-state spins.

Contribution

It introduces a novel cavity QED implementation of non-adiabatic holonomic quantum gates on NV centers, insensitive to cavity field states and suitable for scalable quantum computing.

Findings

Achieves universal quantum gates using non-adiabatic holonomies.

Ensures insensitivity to cavity field states via virtual excitation.

Utilizes NV centers' long coherence times for robust quantum computation.

Abstract

A cavity QED implementation of the non-adiabatic holonomic quantum computation in decoherence-free subspaces is proposed with nitrogen-vacancy centers coupled commonly to the whispering-gallery mode of a microsphere cavity, where a universal set of quantum gates can be realized on the qubits. In our implementation, with the assistant of the appropriate driving fields, the quantum evolution is insensitive to the cavity field state, which is only virtually excited. The implemented non-adiabatic holonomies, utilizing optical transitions in the {\Lambda} type of three-level configuration of the nitrogen-vacancy centers, can be used to construct a universal set of quantum gates on the encoded logical qubits. Therefore, our scheme opens up the possibility of realizing universal holonomic quantum computation with cavity assisted interaction on solid-state spins characterized by long coherence times.