NOON state generation with phonons in acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble

TL;DR

This paper proposes a scheme to generate NOON states using two acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble, achieving high fidelity for up to three phonons, advancing quantum information processing with phonons.

Contribution

The authors introduce a novel method for creating NOON states with phonons in acoustic resonators using NV centers, considering decoherence effects for high-fidelity results.

Findings

Achieved NOON state fidelity over 98.8% for N ≤ 3 phonons.

Demonstrated the feasibility of phonon-based quantum states in high-Q acoustic resonators.

Provided a practical scheme considering decoherence and resonant interactions.

Abstract

Since the quality factor of an acoustic wave resonator (AWR) reached $10^{11}$, AWRs have been regarded as a good carrier of quantum information. In this paper, we propose a scheme to construct a NOON state with two AWRs assisted by a nitrogen-vacancy-center ensemble (NVE). The two AWRs cross each other vertically, and the NVE is located at the center of the crossing. By considering the decoherence of the system and using resonant interactions between the AWRs and the NVE, and the single-qubit operation of the NVE, a NOON state can be achieved with a fidelity higher than $98.8\%$ when the number of phonons in the AWR is $N \le 3$.