Protecting Information Against Computational Errors and Quantum Erasures via Concatenation

TL;DR

This paper proposes a novel concatenation scheme combining quantum loss-correcting and error-correcting codes to protect quantum information against both computational errors and erasures, demonstrated with a specific example.

Contribution

It introduces a new concatenation method that integrates loss-correcting and error-correcting codes without measurements, enhancing quantum information protection.

Findings

Successfully protects one qubit against two erasures and one computational error

Demonstrates the effectiveness of the concatenation scheme with a concrete example

Provides a framework for combining different quantum error correction strategies

Abstract

In this work, we introduce a new concatenation scheme which aims at protecting information against the occurrence of both computational errors and quantum erasures. According to our scheme, the internal code must be a quantum loss-correcting code that does not perform measurements, while the external code must be a quantum error-correcting code. We illustrate the concatenation proposed with an example in which one qubit of information is protected against the occurrence of two erasures and one computational error.