Bosonic Encoding with Nanomechanical Resonators and Spins

Bosonic encoding architectures enable hardware-efficient quantum error correction schemes by encoding information in the bosonic modes of a high-quality factor harmonic oscillator. Previous implementations of such a scheme have relied on bulky mm-scale microwave and acoustic cavities, which limit their scalability. Here, we propose a platform consisting of nanomechanical resonators, which can have comparable quality factors to the mm-scale cavities previously used, but with a nearly two-orders of magnitude reduction in device footprint. We consider such a nanomechanical resonator coupled to an atomic-scale solid-state quantum emitter, which serves as the ancilla qubit and enables optical readout of the bosonic state. This architecture is benchmarked against commonly used bosonic encoding schemes to uncover its viability as a deployable quantum computing architecture.