diff --git a/src/midterm_presentation/main.tex b/src/midterm_presentation/main.tex index 13c7274..0c43e47 100644 --- a/src/midterm_presentation/main.tex +++ b/src/midterm_presentation/main.tex @@ -53,7 +53,7 @@ \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}