Correlation thresholds for effective composite pulse quantum error mitigation

TL;DR

This paper investigates how error correlations affect the fidelity of quantum gates using composite pulse segmentation, identifying a critical correlation threshold that enhances error mitigation in quantum information processing.

Contribution

It proves the existence of a critical correlation threshold for composite pulses and analyzes its implications in integrated photonics, advancing error mitigation strategies.

Findings

Existence of a critical correlation threshold for fidelity improvement

Analysis of threshold effects in integrated photonics

Numerical exploration of diverse error scenarios

Abstract

Composite pulse segmentation has emerged as a promising error mitigation technique for a wide range of physical systems. In recent years, composite schemes were applied as mitigation strategies for quantum information processing and quantum computing. However, most of these strategies assume full error correlation between segments, which can result in gates with worse fidelity performance compared to non-composite gates. In our research, we investigate how error correlations impact the fidelity of quantum gates within the composite segmentation framework. In our study, we prove the existence of a critical correlation threshold, above which the composite pulse method significantly enhances both the mean value and variance of the fidelity. To gain deeper insights, we analyze various properties of the threshold in the realm of integrated photonics, including the effects of geometrical variations and the limit where the number of segments approaches infinity. We numerically explore diverse scenarios, showcasing different aspects of the critical threshold within the photonic quantum gates framework. These findings contribute open new pathways of error mitigation strategies and their implications in quantum information processing.