Self-Stabilizing Measurements for Noisy Metrology

TL;DR

This paper introduces a self-stabilizing measurement protocol for noisy qubits using adaptive Bayesian estimation and rapid purification, enhancing phase estimation accuracy while maintaining qubit stability.

Contribution

It proposes a novel adaptive measurement scheme combining rapid purification and Bayesian estimation to stabilize noisy qubits during phase measurement.

Findings

Improved qubit stabilization under noise conditions.

Enhanced phase estimation accuracy.

Reduced measurement disturbance during stabilization.

Abstract

We present a protocol to perform self-stabilizing measurements on noisy qubits. We employ rapid purification in a rotating frame whose frequency is estimated and periodically updated via a Bayesian estimation scheme. The Bayesian estimation protocol employs the continuous measurement record to improve the estimate, which in turn purifies the qubit more. This procedure stabilizes the qubit. Such an adaptive measurement scheme serves the purpose of purifying the state, while minimally interfering with the phase estimation.