Engineering Superposition States and Tailored Probes for Nano-resonators Via Open-Loop Control

TL;DR

This paper demonstrates a method to prepare mesoscopic superposition states in nano-resonators using open-loop control and qubit monitoring, effective even with thermal initial states and environmental noise.

Contribution

It introduces a novel open-loop control protocol for state-engineering in nano-resonators without needing third-order nonlinearities.

Findings

Successful simulation of state preparation process

Effective control in the presence of environmental noise

Potential for improved quantum measurement techniques

Abstract

We show that a nano-resonator can be prepared in mesoscopic-superposition states merely by monitoring a qubit coupled to the square of the resonators position. This works for thermal initial states, and does not require a third-order nonlinearity. The required coupling can be generated using a simple open-loop control protocol, obtained with optimal control theory. We simulate the complete preparation process, including environmental noise. Our results indicate the power of open-loop control for state-engineering and measurement in quantum nano-systems.