Add Jonathan's corrections; n->3600
This commit is contained in:
@@ -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}
|
||||||
|
|||||||
Reference in New Issue
Block a user