Error correction in short time steps during the application of quantum gates

TL;DR

This paper introduces a method for applying quantum error correction during quantum gates by dividing gates into short steps with correction procedures, improving accuracy and potentially reducing computation time.

Contribution

It presents a novel approach to quantum error correction that involves dividing gates into short segments with interleaved corrections, supported by a constructive prescription and theoretical proof.

Findings

Short time step division can improve error correction effectiveness.

The method can reduce overall quantum computation duration.

Applicable to specific noise models and gate types.

Abstract

We propose a method for applying the quantum error-correction method for errors that occur during quantum gates. Using a perturbation treatment of the noise that allows us to separate it from the ideal evolution of the quantum gate, we demonstrate that in certain cases it is necessary to divide the quantum gate in short time steps intercalated by correction procedures. A prescription of how these gates can be constructed is provided, as well as a proof that, even for the cases when the division of the quantum gate in short time steps is not necessary, this method may be advantageous for reducing the total duration of the computation.