Non-Abelian geometrical control of a qubit in an NV center in diamond

TL;DR

This paper introduces a method for optically controlling a qubit in an NV center using non-Abelian geometric phases during adiabatic passage, enabling precise quantum rotations.

Contribution

It presents a novel approach leveraging non-Abelian geometric phases for qubit manipulation in NV centers, modeled as a four-level atomic system.

Findings

Feasibility demonstrated through modeling NV center as a four-level atom

Proposes a method for qubit rotation using non-Abelian geometric phases

Potential for robust quantum control in diamond-based qubits

Abstract

We propose an approach for an optical qubit rotation in the negatively charged nitrogen-vacancy (NV) center in diamond. The qubit is encoded in the ground degenerate states at the relatively low temperature limit. The basic idea of the rotation procedure is the non-Abelian geometric phase in an adiabatic passage, which is produced by the nonadiabatic transition between the two degenerate dark states. The feasibility is based on the success of modeling the NV center as an excited-doublet four-level atom.