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\title{Fault Tolerant Quantum Error Correction}
\subtitle{Master's Thesis Midterm Presentation}
\author[Andreas]{Andreas Tsouchlos}
\author[ Andreas]{Andreas Tsouchlos}
\date[]{}
\DeclareFieldFormat{note}{}
@@ -148,7 +148,7 @@
\DeclareAcronym{qldpc}{
short=QLDPC,
long=quantum low - density parity - check,
long=quantum low-density parity-check,
}
\DeclareAcronym{scldpc}{
@@ -1800,6 +1800,10 @@
\subsection{The Code and Other Parameters}
\label{subsec:The Code and Other Parameters}
\begin{frame}
\frametitle{}
\end{frame}
\begin{frame}
\frametitle{Performance Evaluation}
@@ -1972,9 +1976,9 @@
\label{subsec:Proposed Methodology}
\begin{frame}
\frametitle{Conclusion}
\frametitle{Conclusion and Outlook}
\vspace*{-15mm}
\vspace*{-10mm}
\begin{minipage}[c]{0.65\textwidth}
\begin{itemize}
@@ -1996,8 +2000,7 @@
\item Parameters
\begin{itemize}
\item Use standard depolarizing noise for comparability
\item Compare performance with other \ac{bb} and
surface code decoders
\item Compare performance with other \ac{bb} code decoders
\end{itemize}
\end{itemize}
\end{minipage}%
@@ -2007,7 +2010,7 @@
\begin{figure}[H]
\centering
\vspace*{-15mm}
\vspace*{-25mm}
\begin{tikzpicture}
\node[scale=10] at (0, 0)
{\textcolor{kit-blue}{{\fontfamily{phv}\selectfont ?}}};
@@ -2027,7 +2030,7 @@
\begin{frame}
\frametitle{System Level Overview}
\vspace*{-15mm}
\vspace*{-10mm}
\begin{figure}[H]
\centering
@@ -2092,7 +2095,7 @@
\end{subfigure}
\end{figure}
% \vspace*{-2mm}
\vspace*{5mm}
\addreferencesmanual
{ZZC$^+$23}{
@@ -2111,11 +2114,30 @@
\begin{frame}
\frametitle{Guided Decimation Guessing Decoding}
\begin{itemize}
\item \red{Explain paper}
\end{itemize}
\begin{minipage}{0.57\textwidth}
\begin{itemize}
\item BP guided decimation (BPGD) \\
$\rightarrow$ Iteratively fix most reliable variable node (VN)
\vspace*{10mm}
\item \schlagwort{Guided decimation guessing} (GDG)
\citereferencemanual{GCR24}
\begin{itemize}
\item Choose VN with \schlagwort{lowest}
log-likelihood ratio
\item Choose VN to fix based on \schlagwort{LLR history}
\item Explore both VN values in parallel
(\schlagwort{guessing})
\end{itemize}
\end{itemize}
\end{minipage}%
\begin{minipage}{0.43\textwidth}
\begin{figure}[H]
\centering
\includegraphics[scale=1.3]{res/gdg.pdf}
\end{figure}
\end{minipage}%
\vspace*{25mm}
\vspace*{30mm}
\addreferencesmanual
{GCR24}{
@@ -2126,6 +2148,52 @@
\stopreferencesmanual
\end{frame}
\begin{frame}
\frametitle{The Quantum Error Correcting Landscape}
\vspace*{-10mm}
\begin{itemize}
\item Taxonomy of main QEC code families \citereferencemanual{SPG$^+$25}
\end{itemize}
\vspace*{2mm}
\begin{figure}[H]
\centering
\includegraphics[scale=2.5]{res/taxonomy.pdf}
\end{figure}
\begin{itemize}
\item Surface code is the industry standard for
experimental implementations, but has poor encoding
efficiency \citereferencemanual{BCG$^+$24}
\item \Ac{qldpc} codes particularly interesting because of
\begin{itemize}
\item Constant overhead scaling \citereferencemanual{Got14}
\item Linear distance scaling \citereferencemanual{BCG$^+$24}
\end{itemize}
\end{itemize}
\vspace*{15mm}
\addreferencesmanual
{SPG$^+$25}{
A. Swierkowska et al., ``ECCentric: An Empirical
Analysis of Quantum Error Correction Codes'',
\emph{arXiv:2511.01062v1}, 2025.
}
{BCG$^+$24}{
S. Bravyi et al., ``High-threshold and low-overhead
fault-tolerant quantum memory,'' \emph{Nature}, 2024.
}
{Got14}{
D. Gottesman, ``Fault-Tolerant Quantum Computation with
Constant Overhead'', \emph{arXiv:1310.2984}, 2014.
}
\stopreferencesendmanual
\end{frame}
% TODO: Is this really necessary?
% \begin{frame}
% \frametitle{The Quantum Error Correction Landscape}