Noisy quantum gyroscope

TL;DR

This paper proposes a quantum gyroscope scheme using two optical fields that overcomes the no-go theorem of noisy metrology, enabling high-precision rotation sensing even in noisy environments by leveraging bound states with the environment.

Contribution

It introduces a novel quantum gyroscope scheme utilizing bound states to mitigate decoherence effects, surpassing previous limitations in noisy quantum metrology.

Findings

The scheme achieves super-Heisenberg sensitivity in noiseless conditions.

Bound states with the environment help recover sensitivity under non-Markovian noise.

The approach provides practical guidelines for high-precision rotation sensing in realistic noisy settings.

Abstract

Gyroscope for rotation sensing plays a key role in inertial navigation systems. Developing more precise gyroscopes than the conventional ones bounded by classical shot-noise limit by using quantum resources has attracted much attention. However, existing quantum gyroscope schemes suffer severe deterioration under the influence of decoherence, which is called the no-go theorem of noisy metrology. Here, by using two quantized optical fields as quantum probe, we propose a quantum gyroscope scheme breaking through the constraint of the no-go theorem. Our exact analysis of the non-Markovian noise reveals that both the evolution time as a resource in enhancing the sensitivity and the achieved super-Heisenberg limit in the noiseless case are asymptotically recoverable when each optical field forms a bound state with its environment. The result provides a guideline for realizing high-precision rotation sensing in realistic noisy environments.