Add Jonathan's corrections; n->3600

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2026-04-22 20:41:09 +02:00
parent 823c6ecc12
commit 7d92b54deb

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@@ -302,8 +302,8 @@
\item Quantum systems are inherently fragile \item Quantum systems are inherently fragile
\item Interacting with the quantum state disturbs it \item Interacting with the quantum state disturbs it
\item Idea: Represent $k\in \mathbb{N} $ \schlagwort{logical \item Idea: Represent $k\in \mathbb{N} $ \schlagwort{logical
qubits} using $n \in \mathbb{N},~n>k$ \schlagwort{physical qubits} qubits} using $n \in \mathbb{N}$ \schlagwort{physical qubits},
\citereferencemanual{Rof19} $n>k$ \citereferencemanual{Rof19}
\vspace*{2mm} \vspace*{2mm}
@@ -1572,9 +1572,8 @@
S. Koutsioumpas et al., ``Automorphism ensemble decoding of S. Koutsioumpas et al., ``Automorphism ensemble decoding of
quantum LDPC codes,'' \emph{arXiv:2503.01738}, 2025. quantum LDPC codes,'' \emph{arXiv:2503.01738}, 2025.
} }
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
low-latency iterative decoding of qLDPC codes under of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
circuit-level noise,'' arXiv:2403.18901, 2024.
} }
{BBA$^+$15}{ {BBA$^+$15}{
Z. Babar et al., ``Fifteen years of Z. Babar et al., ``Fifteen years of
@@ -1634,9 +1633,8 @@
% S. Huang and S. Puri, ``Improved noisy syndrome decoding of % S. Huang and S. Puri, ``Improved noisy syndrome decoding of
% quantum LDPC codes with sliding window,'' \emph{arXiv:2311.03307}, 2023. % quantum LDPC codes with sliding window,'' \emph{arXiv:2311.03307}, 2023.
% } % }
% {GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward % {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
% low-latency iterative decoding of qLDPC codes under % of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
% circuit-level noise,'' arXiv:2403.18901, 2024.
% } % }
% {RWB$^+$20}{ % {RWB$^+$20}{
% J. Roffe et al., ``Decoding across the quantum low-density % J. Roffe et al., ``Decoding across the quantum low-density
@@ -1734,9 +1732,8 @@
S. Huang and S. Puri, ``Improved noisy syndrome decoding of S. Huang and S. Puri, ``Improved noisy syndrome decoding of
quantum LDPC codes with sliding window,'' \emph{arXiv:2311.03307}, 2023. quantum LDPC codes with sliding window,'' \emph{arXiv:2311.03307}, 2023.
} }
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
low-latency iterative decoding of qLDPC codes under of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
circuit-level noise,'' arXiv:2403.18901, 2024.
} }
\stopreferencesmanual \stopreferencesmanual
\end{frame} \end{frame}
@@ -2882,11 +2879,12 @@
\vspace*{-10mm} \vspace*{-10mm}
\centering \centering
\begin{itemize} \begin{itemize}
\only<1>{\vspace*{10mm}} \only<1>{\vspace*{10mm}}
\item Most errors due to non-convergence \item Most errors due to non-convergence
\vspace*{10mm} \vspace*{10mm}
\visible<2-> { \visible<2-> {
\item BPGD algorithm \citereferencemanual{YLH+24} \item BP with guidded decimation (BPGD)
\citereferencemanual{YLH+24}
\begin{enumerate} \begin{enumerate}
\item Perform $T$ \schlagwort{BP iterations} \item Perform $T$ \schlagwort{BP iterations}
\item Hard decision on \schlagwort{most \item Hard decision on \schlagwort{most
@@ -2906,12 +2904,12 @@
\vspace*{-10mm} \vspace*{-10mm}
\begin{itemize} \begin{itemize}
\item $[[882, 24, 18 \le d \le 24]]$ - generalized \item $\llbracket 882, 24, 18 \le d \le 24
hypergraph product (GHP) code, \\ \rrbracket$ generalized hypergraph product (GHP) code,
bit-flip noise \citereferencemanual{YLH+24} bit-flip noise \citereferencemanual{YLH+24}
\end{itemize} \end{itemize}
\vspace*{-5mm} % \vspace*{-5mm}
\begin{figure}[H] \begin{figure}[H]
\centering \centering
@@ -2971,7 +2969,7 @@
} }
\end{minipage} \end{minipage}
\vspace*{2mm} \vspace*{5mm}
\addreferencesmanual \addreferencesmanual
{YLH+24}{Hanwen Yao et al. ``Belief propagation decoding of quantum {YLH+24}{Hanwen Yao et al. ``Belief propagation decoding of quantum
@@ -3329,7 +3327,7 @@
\item Parameters \item Parameters
\begin{itemize} \begin{itemize}
\item $T = 1$ \item $T = 1$
\item $n_\text{iterations} = n$ \item $n_\text{iterations} = 3{,}600$
\item $W = 5$ \item $W = 5$
\end{itemize} \end{itemize}
\end{itemize} \end{itemize}
@@ -3885,9 +3883,8 @@
\vspace*{15mm} \vspace*{15mm}
\addreferencesmanual \addreferencesmanual
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
low-latency iterative decoding of qLDPC codes under of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
circuit-level noise,'' arXiv:2403.18901, 2024.
} }
{MSL$^+$25}{ {MSL$^+$25}{
S. Miao et al., ``Quaternary neural belief propagation S. Miao et al., ``Quaternary neural belief propagation
@@ -4107,9 +4104,8 @@
\vspace*{30mm} \vspace*{30mm}
\addreferencesmanual \addreferencesmanual
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
low-latency iterative decoding of qLDPC codes under of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
circuit-level noise,'' arXiv:2403.18901, 2024.
} }
\stopreferencesmanual \stopreferencesmanual
\end{frame} \end{frame}
@@ -4170,9 +4166,8 @@
\vspace*{5mm} \vspace*{5mm}
\addreferencesmanual \addreferencesmanual
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward {GCR24}{A. Gong et al., ``Toward low-latency iterative decoding
low-latency iterative decoding of qLDPC codes under of qLDPC codes under circuit-level noise,'' arXiv:2403.18901, 2024.
circuit-level noise,'' arXiv:2403.18901, 2024.
} }
\stopreferencesmanual \stopreferencesmanual
\end{frame} \end{frame}