Finish performance evaluation and conclusion slides
This commit is contained in:
@@ -156,6 +156,11 @@
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long=spatially-coupled low-density parity-check
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}
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\DeclareAcronym{ler}{
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short=LER,
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long=logical error rate,
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}
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%
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%
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% Document body
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@@ -1737,7 +1742,7 @@
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\begin{frame}
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\frametitle{Future Work}
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\vspace*{-12mm}
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\vspace*{-15mm}
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\begin{itemize}
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\item Completed work
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@@ -1745,6 +1750,7 @@
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\item Review literature on fault-tolerant \ac{qec}
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using \acp{dem}
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\item Identify research gap
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\item Familiarize with software toolboxes
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\end{itemize}
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\vspace*{7mm}
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\item Research gap
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@@ -1795,24 +1801,158 @@
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\label{subsec:The Code and Other Parameters}
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\begin{frame}
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\frametitle{Noise Models and Figures of Merit}
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\frametitle{Performance Evaluation}
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% - Gong et al. don't actually analyze the latency ->
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% Benchmarking against other methods would be interesting
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% \item For circuit-level noise, use same
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% \schlagwort{physical error rate} for all error
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% locations \citereferencemanual{FSG09}
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\vspace*{-15mm}
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\begin{minipage}{0.35\textwidth}
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\only<1>{
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\begin{itemize}
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\item \red{For circuit-level noise, often, all error probabilities
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are set to the same value for simulations
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\citereferencemanual{FSG09}}
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\item \red{There are other approaches (e.g., SDMB noise, SI noise)
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\citereferencemanual{DTB$^+$25}}
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\item Independent variables
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\begin{itemize}
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\item Physical error rate
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\item CNOT infidelity
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\item Total qubit count
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\item \ldots
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\end{itemize}
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\end{itemize}
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}
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\only<2->{
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\begin{itemize}
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\item Independent variables
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\begin{itemize}
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\item \textbf{Physical error rate}
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\item CNOT infidelity
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\item \textbf{Total qubit count}
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\item \ldots
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\end{itemize}
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\end{itemize}
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}
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\end{minipage}%
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\begin{minipage}{0.65\textwidth}
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\begin{itemize}
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\only<1>{
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\item Noise models
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\begin{itemize}
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\item Standard circuit-based depolarizing noise
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\citereferencemanual{FSG09}
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\item Superconductor inspired (SI1000)
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\citereferencemanual{GNF$^+$21}
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\item Entangling Measurements (EM3)
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\citereferencemanual{GNF$^+$21}
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\item \ldots
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\end{itemize}
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}
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\only<2->{
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\item Noise models
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\begin{itemize}
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\item \textbf{Standard circuit-based depolarizing noise}
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\citereferencemanual{FSG09}
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\item Superconductor inspired (SI1000)
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\citereferencemanual{GNF$^+$21}
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\item Entangling Measurements (EM3)
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\citereferencemanual{GNF$^+$21}
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\item \ldots
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\end{itemize}
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}
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\end{itemize}
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\end{minipage}
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\vspace{5mm}
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\visible<3->{
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\begin{itemize}
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\item Degeneracy, information stored in correlations
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$\rightarrow$ Consider \schlagwort{\acl{ler}} (LER)
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\end{itemize}
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}
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\visible<4->{
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\begin{itemize}
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\item Types of benchmarking plots
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\end{itemize}
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\vspace*{10mm}
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\vspace*{5mm}
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\begin{itemize}
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\item \red{Footprint plots}
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\item \red{Other figure of merit (Look into ECCentric?)}
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\end{itemize}
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\begin{figure}[H]
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\centering
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\begin{subfigure}{0.35\textwidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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domain=-5:5,
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width=7cm,
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height=5.5cm,
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xticklabels=\empty,
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yticklabels=\empty,
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xlabel={Physical error rate},
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xlabel style={yshift=5mm},
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ylabel={LER},
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ylabel style={yshift=-5mm},
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grid,
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]
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\vspace*{15mm}
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\addplot+[
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mark=none,
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kit-red,
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line width=2pt,
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]
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table[row sep=crcr] {
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x y \\
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1.134800559068837 0.5575221183357257 \\
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2.0632737437615223 0.9764009116710485 \\
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2.861072612292603 1.7787608707489788 \\
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3.7551580964997053 2.8407080379684153 \\
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4.264098875196703 3.513274267363004 \\
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4.573589936760932 3.9911505302955272 \\
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4.903713970055305 4.268436552233389 \\
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};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}%
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\begin{subfigure}{0.35\textwidth}
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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domain=-5:5,
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width=7cm,
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height=5.5cm,
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xticklabels=\empty,
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yticklabels=\empty,
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xlabel={Total qubit count},
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xlabel style={yshift=5mm},
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ylabel={LER},
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ylabel style={yshift=-5mm},
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grid,
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]
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\addplot+[
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mark=none,
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kit-blue,
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line width=2pt,
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]
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table[row sep=crcr] {
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x y \\
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1.147643096789246 3.8430493581808607 \\
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1.7245658892318043 2.762331811591747 \\
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2.3573205843145306 2.3587443650766753 \\
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2.9156332708646624 1.560537992857378 \\
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3.6352360073136527 1.0403588210329737 \\
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4.392060012189421 0.7130042787942606 \\
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};
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\end{axis}
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\end{tikzpicture}
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\end{subfigure}
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\end{figure}
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}
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\vspace*{4mm}
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\addreferencesmanual
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{FSG09}{
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@@ -1820,9 +1960,9 @@
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``High-threshold universal quantum computation on the surface
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code,'' \emph{Physical Review}, 2009.
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}
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{DTB$^+$25}{
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P.- J. H. S. Derks et al., ``Designing fault-tolerant
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circuits using detector error models,'' \emph{Quantum}, 2025.
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{GNF$^+$21}{
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C. Gidney et al., ``A Fault-Tolerant Honeycomb Memory'',
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\emph{Quantum}, 2021.
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}
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\stopreferencesmanual
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\end{frame}
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@@ -1838,12 +1978,27 @@
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\begin{minipage}[c]{0.65\textwidth}
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\begin{itemize}
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\item \red{Noise model}
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\item \red{Memory or stability experiment}
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\item \red{Figure of merit: Footprint plot}
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\item \red{Comparison with BB code also simulated by
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\citereferencemanual{GCR24}}
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\item \red{Comparison with surface code}
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\item Problem setting
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\begin{itemize}
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\item Research area: Decoder design for \acp{dem}
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under circuit-level noise
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\item Research gap: Consideration of \acp{dem} as
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\ac{scldpc} codes
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\end{itemize}
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\vspace*{5mm}
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\item Future work
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\begin{itemize}
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\item Modify existing decoder to pass soft information
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\item Test different \ac{bp} variations
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\item \ldots
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\end{itemize}
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\vspace*{5mm}
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\item Parameters
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\begin{itemize}
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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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surface code decoders
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\end{itemize}
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\end{itemize}
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\end{minipage}%
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\begin{minipage}[c]{0.35\textwidth}
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@@ -1852,9 +2007,13 @@
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\begin{figure}[H]
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\centering
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\begin{tikzpicture}[every node/.style={scale=10}]
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\node at (0, 0)
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\vspace*{-15mm}
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\begin{tikzpicture}
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\node[scale=10] at (0, 0)
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{\textcolor{kit-blue}{{\fontfamily{phv}\selectfont ?}}};
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\node[align=center] at (0,-5) {Thank you for your
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attention! \\ Any questions?};
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\end{tikzpicture}
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\end{figure}
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\end{minipage}
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