Scaling up reservoir engineering for error-correcting codes

TL;DR

This paper proposes a scalable, autonomous error correction method for quantum repetition codes using engineered environments, aiming to improve quantum information protection without complex coupling architectures.

Contribution

It introduces a network architecture for autonomous, scalable quantum error correction that avoids all-to-all coupling, enhancing practical implementation.

Findings

Demonstrates a scalable network design for autonomous error correction.

Shows potential for improved quantum information protection.

Addresses experimental feasibility in quantum error correction networks.

Abstract

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where the error correction is applied continuously and autonomously by an engineered environment. We focus on a proposal for the repetition code that counters bit-flip errors, and how to scale up the network encoding a logical quantum bit, towards stronger information protection. The challenge has been to devise a network architecture which allows to autonomously correct higher-order errors, while remaining realistic towards experimental realization by avoiding all-to-all or all-to-one coupling.