Add vanilla BP figures
This commit is contained in:
@@ -1040,3 +1040,12 @@
|
|||||||
author = {Griffiths, Robert B.},
|
author = {Griffiths, Robert B.},
|
||||||
year = {2001},
|
year = {2001},
|
||||||
}
|
}
|
||||||
|
|
||||||
|
@misc{gottesman_fault-tolerant_2014,
|
||||||
|
title = {Fault-{Tolerant} {Quantum} {Computation} with {Constant} {Overhead}},
|
||||||
|
doi = {10.48550/arXiv.1310.2984},
|
||||||
|
publisher = {arXiv},
|
||||||
|
author = {Gottesman, Daniel},
|
||||||
|
month = jul,
|
||||||
|
year = {2014},
|
||||||
|
}
|
||||||
|
|||||||
@@ -484,6 +484,359 @@ standard circuit-based depolarizing noise model, etc.)}
|
|||||||
\subsection{Belief Propagation with Guided Decimation}
|
\subsection{Belief Propagation with Guided Decimation}
|
||||||
\label{subsec:Belief Propagation with Guided Decimation}
|
\label{subsec:Belief Propagation with Guided Decimation}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\begin{tikzpicture}
|
||||||
|
\begin{axis}[
|
||||||
|
width=\figwidth,
|
||||||
|
height=\figheight,
|
||||||
|
ymode=log,
|
||||||
|
legend style={
|
||||||
|
cells={anchor=west},
|
||||||
|
cells={align=left},
|
||||||
|
},
|
||||||
|
enlargelimits=false,
|
||||||
|
ymin=1e-5, ymax=2e-1,
|
||||||
|
grid=both,
|
||||||
|
legend pos = south east,
|
||||||
|
xtick={0.001,0.0015,...,0.004},
|
||||||
|
xticklabel style={/pgf/number format/fixed},
|
||||||
|
xticklabel style={/pgf/number format/precision=4},
|
||||||
|
scaled x ticks=false,
|
||||||
|
xlabel={Physical error rate},
|
||||||
|
ylabel={Per-round-LER},
|
||||||
|
]
|
||||||
|
|
||||||
|
\foreach \W/\col/\mark in
|
||||||
|
{3/KITred/triangle*,4/KITblue/diamond*,5/KITorange/square*} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, solid, mark options={fill=\col}, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=physical_p,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/WF/WindowingSyndromeMinSumDecoder/max_iter_200/pass_soft_info_False/F_1/W_\W/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
|
||||||
|
\addlegendentryexpanded{$W = \W$}
|
||||||
|
}
|
||||||
|
|
||||||
|
\addplot+[mark=*, solid, mark options={fill=black}, black]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=physical_p,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/whole/SyndromeMinSumDecoder/max_iter_200/LERs.csv};
|
||||||
|
|
||||||
|
\addlegendentry{Whole}
|
||||||
|
\end{axis}
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
\caption{
|
||||||
|
Comparison of the decoding performance of the $\llbracket
|
||||||
|
144,12,12 \rrbracket$ \ac{bb} code under min-sum decoding
|
||||||
|
($200$ iterations) for different window sizes.
|
||||||
|
The step size was fixed to $F=1$, $12$ rounds of syndrome
|
||||||
|
extraction were performed and the noise model is
|
||||||
|
standard circuit-based depolarizing noise.
|
||||||
|
}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\begin{tikzpicture}
|
||||||
|
\begin{axis}[
|
||||||
|
width=\figwidth,
|
||||||
|
height=\figheight,
|
||||||
|
ymode=log,
|
||||||
|
legend style={
|
||||||
|
cells={anchor=west},
|
||||||
|
cells={align=left},
|
||||||
|
},
|
||||||
|
enlargelimits=false,
|
||||||
|
ymin=1e-5, ymax=2e-1,
|
||||||
|
grid=both,
|
||||||
|
legend pos = south east,
|
||||||
|
xtick={0.001,0.0015,...,0.004},
|
||||||
|
xticklabel style={/pgf/number format/fixed},
|
||||||
|
xticklabel style={/pgf/number format/precision=4},
|
||||||
|
scaled x ticks=false,
|
||||||
|
xlabel={Physical error rate},
|
||||||
|
ylabel={Per-round-LER},
|
||||||
|
extra description/.code={
|
||||||
|
\node[rotate=90, anchor=south]
|
||||||
|
at ([xshift=10mm]current axis.east)
|
||||||
|
{Warm s. (---), Cold s. (- - -)};
|
||||||
|
},
|
||||||
|
]
|
||||||
|
|
||||||
|
\foreach \W/\col/\mark in
|
||||||
|
{3/KITred/triangle,4/KITblue/diamond,5/KITorange/square} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[
|
||||||
|
mark=\mark, densely dashed, mark options={fill=\col},
|
||||||
|
\col, forget plot
|
||||||
|
]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=physical_p,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/WF/WindowingSyndromeMinSumDecoder/max_iter_200/pass_soft_info_False/F_1/W_\W/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
}
|
||||||
|
|
||||||
|
\foreach \W/\col/\mark in
|
||||||
|
{3/KITred/triangle*,4/KITblue/diamond*,5/KITorange/square*} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, solid, mark options={fill=\col}, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=physical_p,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/WF/WindowingSyndromeMinSumDecoder/max_iter_200/pass_soft_info_True/F_1/W_\W/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
|
||||||
|
\addlegendentryexpanded{$W = \W$}
|
||||||
|
}
|
||||||
|
|
||||||
|
\addplot+[mark=*, solid, mark options={fill=black}, black]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=physical_p,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/whole/SyndromeMinSumDecoder/max_iter_200/LERs.csv};
|
||||||
|
|
||||||
|
\addlegendentry{Whole}
|
||||||
|
\end{axis}
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
\caption{
|
||||||
|
Comparison of the decoding performance of cold and warm-start
|
||||||
|
decoding under the $\llbracket 144,12,12 \rrbracket$ \ac{bb}
|
||||||
|
code for different window sizes.
|
||||||
|
Decoding was performed using the min-sum algorithm ($200$
|
||||||
|
iterations).
|
||||||
|
The step size was fixed to $F=1$, $12$ rounds of syndrome
|
||||||
|
extraction were performed and the noise model is
|
||||||
|
standard circuit-based depolarizing noise.
|
||||||
|
}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\begin{tikzpicture}
|
||||||
|
\begin{axis}[
|
||||||
|
width=\figwidth,
|
||||||
|
height=\figheight,
|
||||||
|
ymode=log,
|
||||||
|
% xmode=log,
|
||||||
|
legend style={
|
||||||
|
cells={anchor=west},
|
||||||
|
cells={align=left},
|
||||||
|
},
|
||||||
|
enlargelimits=false,
|
||||||
|
ymin=1e-3, ymax=1e-1,
|
||||||
|
grid=both,
|
||||||
|
legend pos = north east,
|
||||||
|
xtick={32,512,1024,2048,4096},
|
||||||
|
% xtick={0.001,0.0015,...,0.004},
|
||||||
|
xticklabels =
|
||||||
|
{$32$,$512$,$1{,}024$,,$2{,}048$,,$3{,}072$,,$4{,}096$},
|
||||||
|
xtick={32, 512, 1024, 1536, 2048, 2560, 3072, 3584, 4096},
|
||||||
|
xticklabel style={/pgf/number format/fixed},
|
||||||
|
xticklabel style={/pgf/number format/precision=4},
|
||||||
|
scaled x ticks=false,
|
||||||
|
xlabel={Number of BP iterations},
|
||||||
|
ylabel={Per-round-LER},
|
||||||
|
extra description/.code={
|
||||||
|
\node[rotate=90, anchor=south]
|
||||||
|
at ([xshift=10mm]current axis.east)
|
||||||
|
{Warm s. (---), Cold s. (- - -)};
|
||||||
|
},
|
||||||
|
]
|
||||||
|
|
||||||
|
\foreach \W/\col/\mark in
|
||||||
|
{3/KITred/triangle,4/KITblue/diamond,5/KITorange/square} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, densely dashed, forget plot, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=max_iter,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/max_iter/WindowingSyndromeMinSumDecoder/p_0.0025/pass_soft_info_False/F_1/W_\W/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
}
|
||||||
|
|
||||||
|
\foreach \W/\col/\mark in
|
||||||
|
{3/KITred/triangle*,4/KITblue/diamond*,5/KITorange/square*} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, solid, mark options={fill=\col}, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=max_iter,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/max_iter/WindowingSyndromeMinSumDecoder/p_0.0025/pass_soft_info_True/F_1/W_\W/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
|
||||||
|
\addlegendentryexpanded{$W = \W$}
|
||||||
|
}
|
||||||
|
\end{axis}
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
\caption{
|
||||||
|
Comaprison of cold and warm-start sliding-window
|
||||||
|
min-sum decoding of the $\llbracket 144, 12, 12 \rrbracket$ \ac{bb} code
|
||||||
|
under circuit-level noise.
|
||||||
|
The noise chosen model is standard circuit-based depolarizing
|
||||||
|
noise and the physical error probabilty was fixed to
|
||||||
|
$0.0025$.
|
||||||
|
The step size was set to $F=1$.
|
||||||
|
}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\begin{tikzpicture}
|
||||||
|
\begin{axis}[
|
||||||
|
width=\figwidth,
|
||||||
|
height=\figheight,
|
||||||
|
ymode=log,
|
||||||
|
% xmode=log,
|
||||||
|
legend style={
|
||||||
|
cells={anchor=west},
|
||||||
|
cells={align=left},
|
||||||
|
},
|
||||||
|
enlargelimits=false,
|
||||||
|
ymin=1e-3, ymax=1e-1,
|
||||||
|
grid=both,
|
||||||
|
legend pos = north east,
|
||||||
|
xtick={32,512,1024,2048,4096},
|
||||||
|
% xtick={0.001,0.0015,...,0.004},
|
||||||
|
xticklabels =
|
||||||
|
{$32$,$512$,$1{,}024$,,$2{,}048$,,$3{,}072$,,$4{,}096$},
|
||||||
|
xtick={32, 512, 1024, 1536, 2048, 2560, 3072, 3584, 4096},
|
||||||
|
xticklabel style={/pgf/number format/fixed},
|
||||||
|
xticklabel style={/pgf/number format/precision=4},
|
||||||
|
scaled x ticks=false,
|
||||||
|
xlabel={Number of BP iterations},
|
||||||
|
ylabel={Per-round-LER},
|
||||||
|
extra description/.code={
|
||||||
|
\node[rotate=90, anchor=south]
|
||||||
|
at ([xshift=10mm]current axis.east)
|
||||||
|
{Warm s. (---), Cold s. (- - -)};
|
||||||
|
},
|
||||||
|
]
|
||||||
|
|
||||||
|
\foreach \F/\col/\mark in
|
||||||
|
{3/KITred/triangle,2/KITblue/diamond,1/KITorange/square} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, densely dashed, forget plot, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=max_iter,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/max_iter/WindowingSyndromeMinSumDecoder/p_0.0025/pass_soft_info_False/F_\F/W_5/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
}
|
||||||
|
|
||||||
|
\foreach \F/\col/\mark in
|
||||||
|
{3/KITred/triangle*,2/KITblue/diamond*,1/KITorange/square*} {
|
||||||
|
\edef\temp{\noexpand
|
||||||
|
\addplot+[mark=\mark, solid, mark options={fill=\col}, \col]
|
||||||
|
table[
|
||||||
|
col sep=comma, x=max_iter,
|
||||||
|
y=LER_per_round,
|
||||||
|
]
|
||||||
|
{res/sim/max_iter/WindowingSyndromeMinSumDecoder/p_0.0025/pass_soft_info_True/F_\F/W_5/LERs.csv};
|
||||||
|
}
|
||||||
|
\temp
|
||||||
|
|
||||||
|
\addlegendentryexpanded{$F = \F$}
|
||||||
|
}
|
||||||
|
\end{axis}
|
||||||
|
\end{tikzpicture}
|
||||||
|
|
||||||
|
\caption{
|
||||||
|
Comaprison of cold and warm-start sliding-window
|
||||||
|
min-sum decoding of the $\llbracket 144, 12, 12 \rrbracket$ \ac{bb} code
|
||||||
|
under circuit-level noise.
|
||||||
|
The noise chosen model is standard circuit-based depolarizing
|
||||||
|
noise and the physical error probabilty was fixed to
|
||||||
|
$0.0025$.
|
||||||
|
The window size was set to $F=5$.
|
||||||
|
}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
% \begin{figure}[H]
|
||||||
|
% \centering
|
||||||
|
% \begin{tikzpicture}
|
||||||
|
% \begin{axis}[
|
||||||
|
% width=\figwidth,
|
||||||
|
% height=\figheight,
|
||||||
|
% ymode=log,
|
||||||
|
% legend style={
|
||||||
|
% cells={anchor=west},
|
||||||
|
% cells={align=left},
|
||||||
|
% },
|
||||||
|
% enlargelimits=false,
|
||||||
|
% ymin=1e-5, ymax=2e-1,
|
||||||
|
% grid=both,
|
||||||
|
% legend pos = south east,
|
||||||
|
% xtick={0.001,0.0015,...,0.004},
|
||||||
|
% xticklabel style={/pgf/number format/fixed},
|
||||||
|
% xticklabel style={/pgf/number format/precision=4},
|
||||||
|
% scaled x ticks=false,
|
||||||
|
% xlabel={Physical error rate},
|
||||||
|
% ylabel={Per-round-LER},
|
||||||
|
% extra description/.code={
|
||||||
|
% \node[rotate=90, anchor=south]
|
||||||
|
% at ([xshift=10mm]current axis.east)
|
||||||
|
% {Warm s. (---), Cold s. (- - -)};
|
||||||
|
% },
|
||||||
|
% ]
|
||||||
|
%
|
||||||
|
% \foreach \W/\col in
|
||||||
|
% {3/KITred,4/KITblue,5/KITorange} {
|
||||||
|
% \edef\temp{\noexpand
|
||||||
|
% \addplot+[mark=*, solid, mark options={fill=\col}, \col]
|
||||||
|
% table[
|
||||||
|
% col sep=comma, x=physical_p,
|
||||||
|
% y=LER_per_round,
|
||||||
|
% ]
|
||||||
|
% {res/sim/WF/WindowingSyndromeSpaGdDecoder/max_iter_200/pass_soft_info_True/F_1/W_\W/LERs.csv};
|
||||||
|
% }
|
||||||
|
% \temp
|
||||||
|
%
|
||||||
|
% \addlegendentryexpanded{$W = \W$}
|
||||||
|
%
|
||||||
|
% \edef\temp{\noexpand
|
||||||
|
% \addplot+[mark=o, densely dashed, \col, forget plot]
|
||||||
|
% table[
|
||||||
|
% col sep=comma, x=physical_p,
|
||||||
|
% y=LER_per_round,
|
||||||
|
% ]
|
||||||
|
% {res/sim/WF/WindowingSyndromeSpaGdDecoder/max_iter_200/pass_soft_info_False/F_1/W_\W/LERs.csv};
|
||||||
|
% }
|
||||||
|
% \temp
|
||||||
|
% }
|
||||||
|
% \end{axis}
|
||||||
|
% \end{tikzpicture}
|
||||||
|
%
|
||||||
|
% \caption{
|
||||||
|
% Comparison of the decoding performance of the $\llbracket
|
||||||
|
% 144,12,12 \rrbracket$ \ac{bb} code under min-sum decoding for
|
||||||
|
% different window sizes. The noise model standard-circuit
|
||||||
|
% based depolarizing noise. $12$ rounds of syndrome extraction
|
||||||
|
% were performed.
|
||||||
|
% }
|
||||||
|
% \end{figure}
|
||||||
|
|
||||||
% Results when passing all info
|
% Results when passing all info
|
||||||
% Results when passing only messages
|
% Results when passing only messages
|
||||||
|
|
||||||
|
|||||||
Reference in New Issue
Block a user