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