# Complementary Quality Measures for Noisy Braiding Operations

## TL;DR

This paper introduces three quality measures to evaluate the reliability of braiding operations in noisy topological quantum computing systems, using a minimal-noise model for broad applicability.

## Contribution

It proposes new quality measures for assessing noisy braiding operations in topological quantum computing, applicable under minimal assumptions.

## Key findings

- Three quality measures defined for noisy braiding
- Model applicable to various noise types
- Framework for assessing braiding fidelity

## Abstract

Topological quantum computing with non-abelian anyons in a network of one-dimensional chains relies on braiding operations. In real devices, a noisy environment may compromise these braiding operations. In order to assess the failure acquired during braiding with noisy parameters, I define three quality measures. To keep the results as general as possible, I study these quality measures in a model with minimal assumptions that still allows for different kinds of noise.