Decoherence and Quantum Error Correction for Quantum Computing and Communications

TL;DR

This paper reviews how decoherence affects quantum information and discusses the design and optimization of quantum error correction codes to mitigate errors, crucial for developing reliable quantum computers and communication systems.

Contribution

It provides a comprehensive analysis of decoherence phenomena and introduces optimized quantum error correction codes to enhance quantum information protection.

Findings

Decoherence models help understand environmental effects on quantum states.

Optimized QECCs improve error correction capabilities.

Enhanced QECCs are vital for reliable quantum computing and communication.

Abstract

Quantum technologies have shown immeasurable potential to effectively solve several information processing tasks such as prime number factorization, unstructured database search or complex macromolecule simulation. As a result of such capability to solve certain problems that are not classically tractable, quantum machines have the potential revolutionize the modern world via applications such as drug design, process optimization, unbreakable communications or machine learning. However, quantum information is prone to suffer from errors caused by the so-called decoherence, which describes the loss in coherence of quantum states associated to their interactions with the surrounding environment. This decoherence phenomenon is present in every quantum information task, be it transmission, processing or even storage of quantum information. Consequently, the protection of quantum information via quantum error correction codes (QECC) is of paramount importance to construct fully operational quantum computers. Understanding environmental decoherence processes and the way they are modeled is fundamental in order to construct effective error correction methods capable of protecting quantum information. In this thesis, the nature of decoherence is studied and mathematically modelled; and QECCs are designed and optimized so that they exhibit better error correction capabilities.