Upper Bound on Fidelity of Classical Sagnac Gyroscope

TL;DR

This paper introduces a theoretical upper bound on the fidelity of classical Sagnac gyroscopes, providing a benchmark to evaluate and compare the performance of classical and quantum rotation sensors.

Contribution

It derives a general upper bound on the fidelity of classical Sagnac gyroscopes, enabling performance comparison with quantum-enhanced systems.

Findings

Derived a theoretical upper bound for classical Sagnac gyroscope fidelity

Proposed fidelity as a universal metric for comparing rotation sensors

Provided a benchmark for evaluating quantum and classical gyroscope performance

Abstract

Numerous quantum mechanical schemes have been proposed that are intended to improve the sensitivity to rotation provided by the classical Sagnac effect in gyroscopes. A general metric is needed that can compare the performance of the new quantum systems with the classical systems. The fidelity (Shannon mutual information between the measurement and the rotation rate) is proposed as a metric that is capable of this comparison. A theoretical upper bound is derived for the fidelity of an ideal classical Sagnac gyroscope. This upper bound for the classical Sagnac gyroscope should be used as a benchmark to compare the performance of proposed enhanced classical and quantum rotation sensors. In fact, the fidelity is general enough to compare the quality of two different apparatuses (two different experiments) that attempt to measure the same quantity.