1 Commits

Author SHA1 Message Date
7d92b54deb Add Jonathan's corrections; n->3600 2026-04-22 20:41:09 +02:00

View File

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