Entanglement Evolution in a Five Qubit Error Correction Code

TL;DR

This paper investigates how entanglement in a five-qubit quantum error correction code evolves under decoherence, examining its impact on logical qubit fidelity and the occurrence of entanglement sudden death.

Contribution

It analyzes entanglement dynamics in a five-qubit code under decoherence, linking entanglement loss to logical fidelity and exploring the implications of entanglement sudden death.

Findings

Entanglement degrades with decoherence, affecting logical qubit fidelity.

Entanglement sudden death can occur but may not hinder quantum computation.

Entanglement evolution correlates with error correction performance.

Abstract

In this paper I explore the entanglement evolution of qubits that are part of a five qubit quantum error correction code subject to various decohering environments. Specifically, I look for possible parallels between the entanglement degradation and the fidelity of the logical qubit of quantum information stored in the physical qubits. In addition, I note the possible exhibition of entanglement sudden death (ESD) due to decoherence and question whether ESD is actually a roadblock to successful quantum computation.