# Testing the Robustness of Robust Phase Estimation

## TL;DR

This paper demonstrates that Robust Phase Estimation (RPE) is a reliable and effective method for calibrating quantum gates, maintaining accuracy despite various errors, and is suitable for automation and sensor applications.

## Contribution

The paper provides experimental validation of RPE's robustness against multiple error sources, confirming its theoretical bounds and practical utility in quantum calibration.

## Key findings

- RPE remains effective under initialization, measurement, and gate errors.
- Error thresholds for RPE match theoretical predictions.
- RPE is suitable for automated calibration routines.

## Abstract

The Robust Phase Estimation (RPE) protocol was designed to be an efficient and robust way to calibrate quantum operations. The robustness of RPE refers to its ability to estimate a single parameter, usually gate amplitude, even when other parameters are poorly calibrated or when the gate experiences significant errors. Here we demonstrate the robustness of RPE to errors that affect initialization, measurement, and gates. In each case, the error threshold at which RPE begins to fail matches quantitatively with theoretical bounds. We conclude that RPE is an effective and reliable tool for calibration of one-qubit rotations and that it is particularly useful for automated calibration routines and sensor tasks.