\chapter{Fault Tolerant QEC} \section{Fault Tolerance} \section{Noise Models} \subsection{Depolarizing Channel} \subsection{Phenomenological Noise} \subsection{Circuit-Level Noise} \section{Detector Error Models} \subsection{Measurement Syndrome Matrix} \subsection{Detector Error Matrix} \subsection{Detector Error Models} \section{Practical Considerations} \subsection{Practical Methodology} \subsection{Stim}