Passive quantum error correction of linear optics networks through error averaging

TL;DR

This paper introduces a passive error correction method for bosonic linear optics networks using unitary averaging, avoiding ancillary photons and active control, with theoretical framework and numerical validation.

Contribution

It presents a novel passive error correction technique based on unitary averaging for linear optics networks, expanding the toolkit for quantum error mitigation.

Findings

Effective error thresholds identified

Comparison of averaging methods shows optimal implementation

Numerical analysis confirms noise reduction capabilities

Abstract

We propose and investigate a method of error detection and noise correction for bosonic linear networks using a method of unitary averaging. The proposed error averaging does not rely on ancillary photons or control and feed-forward correction circuits, remaining entirely passive in its operation. We construct a general mathematical framework for this technique then give a series of proof of principle examples including numerical analysis. Two methods for the construction of averaging are then compared to determine the most effective manner of implementation and probe the related error thresholds. Finally we discuss some of the potential uses of this scheme.