Fault-tolerant holonomic quantum computation

TL;DR

This paper demonstrates how to integrate fault-tolerant quantum error correction with holonomic quantum computation, ensuring scalable and robust quantum computing by leveraging the geometric properties of HQC.

Contribution

It introduces a method to combine HQC with fault-tolerant error correction, enhancing scalability and robustness of quantum computation.

Findings

HQC can be made fault-tolerant with error correction.

The approach preserves HQC's geometric robustness.

Scalability of HQC is established.

Abstract

We explain how to combine holonomic quantum computation (HQC) with fault tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing with other models of computation, while retaining the inherent robustness the method derives from its geometric nature.