Optimized Entanglement-Assisted Quantum Error Correction

TL;DR

This paper introduces a convex optimization-based method for designing entanglement-assisted quantum error correction codes tailored to specific noise channels, resulting in higher fidelities and broader error correction capabilities.

Contribution

It presents a novel optimization framework for quantum error correction that outperforms existing methods and extends the class of correctable error channels.

Findings

Achieves higher channel fidelities than existing methods

Enables perfect error correction for a larger class of channels

Interpretation linked to quantum teleportation in some cases

Abstract

Using convex optimization, we propose entanglement-assisted quantum error correction procedures that are optimized for given noise channels. We demonstrate through numerical examples that such an optimized error correction method achieves higher channel fidelities than existing methods. This improved performance, which leads to perfect error correction for a larger class of error channels, is interpreted in at least some cases by quantum teleportation, but for general channels this interpretation does not hold.