An entropic analysis of approximate quantum error correction

TL;DR

This paper explores the thermodynamic principles underlying approximate quantum error correction by analyzing entropy, quantum state discrimination, and information gain, highlighting the conditions that ensure compliance with the Second Law.

Contribution

It introduces an entropic framework for understanding approximate quantum error correction and investigates the relationship between quantum state discrimination and information gain in this context.

Findings

Entropy considerations support thermodynamic consistency of QEC

Quantum state discrimination relates to information gain in QEC

Preliminary analysis links thermodynamics with approximate QEC

Abstract

The concept of entropy and the correct application of the Second Law of thermodynamics are essential in order to understand the reason why quantum error correction is thermodynamically possible and no violation of the Second Law occurs during its execution. We report in this work our first steps towards an entropic analysis extended to approximate quantum error correction (QEC). Special emphasis is devoted to the link among quantum state discrimination (QSD), quantum information gain, and quantum error correction in both the exact and approximate QEC scenarios.