Quantum Error Correction Implementation after Multiple Gates

TL;DR

This paper demonstrates through simulation that applying quantum error correction after every gate in fault-tolerant quantum computing is unnecessary and can be optimized for better fidelity.

Contribution

It challenges the standard approach by showing that less frequent error correction can improve quantum computation fidelity.

Findings

Error correction after every gate is not optimal.

Simulations with the [[7,1,3]] code support reduced correction frequency.

Fidelity measures improve with less frequent error correction.

Abstract

Correcting errors is a vital but expensive component of fault tolerant quantum computation. Standard fault tolerant protocol assumes the implementation of error correction, via syndrome measurements and possible recovery operations, after every quantum gate. In fact, this is not necessary. Here we demonstrate that error correction should be applied more sparingly. We simulate encoded single-qubit rotations within the [[7,1,3]] code and show via fidelity measures that applying error correction after every gate is not desirable.