# On-chip quantum tomography of mechanical nano-scale oscillators with guided Rydberg atoms

## TL;DR

This paper proposes a fully integrated on-chip method using guided Rydberg atoms to perform quantum state tomography and coherent control of nano-scale mechanical oscillators, advancing quantum nano-mechanics.

## Contribution

It introduces a novel hybrid platform combining Rydberg-atom waveguides with nano-mechanical oscillators for on-chip quantum control and measurement.

## Key findings

- Numerical simulations demonstrate feasible on-chip quantum tomography.
- Quantum non-demolition measurements enable full state reconstruction.
- External driving allows coherent displacement of the oscillator.

## Abstract

Nano-mechanical oscillators as well as Rydberg-atomic waveguides hosted on micro-fabricated chip surfaces hold promise to become pillars of future quantum technologies. In a hybrid platform with both, we show that beams of Rydberg atoms in waveguides can quantum-coherently interrogate and manipulate nanomechanical elements, allowing full quantum state tomography. Central to the tomography are quantum non-demolition measurements using the Rydberg atoms as probes. Quantum coherent displacement of the oscillator is also made possible, by driving the atoms with external fields while they interact with the oscillator. We numerically demonstrate the feasibility of this fully integrated on-chip control and read-out suite for quantum nano-mechanics, taking into account noise and error sources.