# Quantum memory assisted precision rotation sensing

## TL;DR

This paper proposes a solid-state quantum gyroscope using a central electron spin coupled to nuclear spins, leveraging quantum memory and entanglement to enhance rotation sensing without NMR manipulation.

## Contribution

It introduces a novel method for rotation sensing with a solid-state spin system that avoids direct nuclear spin manipulation and explores entanglement-enhanced sensitivity.

## Key findings

- Analytical and numerical analysis of sensitivity under partial polarization and decoherence.
- Proposal for generating and utilizing entanglement to improve sensing performance.
- Design of a compact, full-electrical spin-based gyroscope.

## Abstract

We propose to implement a solid-state rotation sensor by employing a many-body quantum spin system which takes the advantages of the easy controllability of the electron spin and the robustness provided by the collective nuclear spin state. The sensor consists of a central electron spin coupled to many surrounding nuclear spins. Previously, this central spin system has been suggested to realize a quantum memory. Here, we further utilize the collective nuclear spins, which store a certain quantum state, to detect the macroscopic rotation. Different from other nuclear spin-based gyroscopes, our proposal does not directly manipulate nuclear spins via nuclear magnetic resonance technique. We analytically and numerically investigate the effects of partial nuclear polarization and decoherence on the sensitivity. We also briefly introduce the procedure to generate entanglement between nuclear spins through the quantum memory technique and to utilize this entanglement to enhance the sensing performance. Our proposal paves the way to the experimental realization of a compact solid-state, full-electrical and spin-based gyroscope.