From 1ad90eb8c6529b2962e2c99bc7c6d40efa0bb036 Mon Sep 17 00:00:00 2001 From: Andreas Tsouchlos Date: Mon, 1 Jun 2026 15:42:42 +0200 Subject: [PATCH] Fix Phenomenological noise figure; use extended circuit-level noise figure --- src/final_presentation/main.tex | 31 ++++++++++++++++++------------- 1 file changed, 18 insertions(+), 13 deletions(-) diff --git a/src/final_presentation/main.tex b/src/final_presentation/main.tex index 796615d..d16ab66 100644 --- a/src/final_presentation/main.tex +++ b/src/final_presentation/main.tex @@ -1411,9 +1411,9 @@ } \visible<2->{ \item \schlagwort{Phenomenological noise} considers - \citereferencemanual{DTB$^+$25} + \citereferencemanual{GJ23} \begin{itemize} - \item $\X$ errors on data qubits + \item $\X,\Y$ or $\Z$ errors on data qubits before each \\ measurement round \item $\X$ errors on measurement outcomes @@ -1482,35 +1482,40 @@ \only<2>{ % tex-fmt: off \begin{quantikz}[row sep=4mm, column sep=4mm] - & \xerr & \ctrl{3} & & & & & & \\ - \lstick{$\ket{\psi}$} & \xerr & & \ctrl{2} & \ctrl{3} & & & & \\ - & \xerr & & & & \ctrl{2} & & & \\ - \lstick{$\ket{0}_{\text{A}_1}$} & & \targ{} & \targ{} & & & \xerr & \meter{} & \setwiretype{c} \\ - \lstick{$\ket{0}_{\text{A}_2}$} & & & & \targ{} & \targ{} & \xerr & \meter{} & \setwiretype{c} + & \xyzerr & \ctrl{3} & & & & & & \xyzerr & & \setwiretype{n} & \\ + \lstick{$\ket{\psi}$} & \xyzerr & & \ctrl{2} & \ctrl{3} & & & & \xyzerr & & \setwiretype{n} & \gate[style={left,draw=none}]{\cdots} \\ + & \xyzerr & & & & \ctrl{2} & & & \xyzerr & & \setwiretype{n} & \\ + \lstick{$\ket{0}_{\text{A}_1}$} & & \targ{} & \targ{} & & & \xerr & \meter{} & \setwiretype{c} \\ + \lstick{$\ket{0}_{\text{A}_2}$} & & & & \targ{} & \targ{} & \xerr & \meter{} & \setwiretype{c} \end{quantikz} % tex-fmt: on } \only<3>{ % tex-fmt: off \begin{quantikz}[row sep=4mm, column sep=2mm] - & \xyzerr & \ctrl{3} & \xyzerr \wire[d][3]{q} & & & & & & & & & \\ - \lstick{$\ket{\psi}$} & \xyzerr & & & \ctrl{2} & \xyzerr \wire[d][2]{q} & \ctrl{3} & \xyzerr \wire[d][3]{q} & & & & & \\ - & \xyzerr & & & & & & & \ctrl{2} & \xyzerr \wire[d][2]{q} & & & \\ - \lstick{$\ket{0}_{\text{A}_1}$} & \xyzerr & \targ{} & \xyzerr & \targ{} & \xyzerr & & & & & \xerr & \meter{} & \setwiretype{c} \\ - \lstick{$\ket{0}_{\text{A}_2}$} & \xyzerr & & & & & \targ{} & \xyzerr & \targ{} & \xyzerr & \xerr & \meter{} & \setwiretype{c} + & \xyzerr & \ctrl{3} & \xyzerr \wire[d][3]{q} & & & & & & & & & \xyzerr & & \setwiretype{n} & \\ + \lstick{$\ket{\psi}$} & \xyzerr & & & \ctrl{2} & \xyzerr \wire[d][2]{q} & \ctrl{3} & \xyzerr \wire[d][3]{q} & & & & & \xyzerr & & \setwiretype{n} & \gate[style={left,draw=none,xshift=3.5mm}]{\cdots} \\ + & \xyzerr & & & & & & & \ctrl{2} & \xyzerr \wire[d][2]{q} & & & \xyzerr & & \setwiretype{n} & \\ + \lstick{$\ket{0}_{\text{A}_1}$} & \xyzerr & \targ{} & \xyzerr & \targ{} & \xyzerr & & & & & \xerr & \meter{} & \setwiretype{c} \\ + \lstick{$\ket{0}_{\text{A}_2}$} & \xyzerr & & & & & \targ{} & \xyzerr & \targ{} & \xyzerr & \xerr & \meter{} & \setwiretype{c} \end{quantikz} % tex-fmt: on } \end{figure} \end{minipage} - \vspace*{12mm} + \vspace*{8mm} \addreferencesmanual {NC10}{ M. A. Nielsen and I. L. Chuang, ``Quantum computation and quantum information'', \emph{Cambridge University Press}, 2010. } + {GJ23} + { + C. Gidney and C. Jones, ``New circuits and an open source + decoder for the color code,'' \emph{arXiv:2312.08813}, 2023. + } {DTB$^+$25}{ P.- J. H. S. Derks et al., ``Designing fault-tolerant circuits using detector error models,'' \emph{Quantum}, 2025.