Replace all references with manual strings
This commit is contained in:
@@ -86,6 +86,30 @@
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{\typeout{Successfully patched fullwire for classical wires}}
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{\typeout{Successfully patched fullwire for classical wires}}
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{\typeout{Failed to patch fullwire for classical wires}}
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{\typeout{Failed to patch fullwire for classical wires}}
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\makeatletter
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\newcommand{\addreferencesmanual}{%
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\begin{scriptsize}
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\begin{tabular}{lp{0.88\textwidth}}
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\@addreferencesimanual
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}
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\newcommand\@addreferencesimanual{\@ifnextchar\stopreferencesmanual{\@addreferencesendmanual}{\@addreferencesiimanual}}
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\newcommand\@addreferencesiimanual[2]{%
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\textcolor{kit-green100}{[#1]} & \textcolor{kit-green100}{#2} \\
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\@addreferencesimanual % restart the recursion
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}
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\newcommand\@addreferencesendmanual[1]{% The argument is \stopimages
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\end{tabular}
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\end{scriptsize}
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}
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\makeatother
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\newcommand{\citereferencemanual}[1]{\textcolor{kit-green100}{\textbf{\scriptsize{[#1]}}}}
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%
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%
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%
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%
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% Acronyms
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% Acronyms
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@@ -169,12 +193,12 @@
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\item Simulating quantum systems on classical hardware
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\item Simulating quantum systems on classical hardware
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is exponentially complex \\
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is exponentially complex \\
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$\rightarrow$ Use quantum hardware to simulate quantum
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$\rightarrow$ Use quantum hardware to simulate quantum
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systems \citereference{feynman_simulating_1982}
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systems \citereferencemanual{Fey82}
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\item ``Hard'' to solve problems on classical computers can
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\item ``Hard'' to solve problems on classical computers can
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be ``easy'' on quantum computers
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be ``easy'' on quantum computers
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\citereference{preskill_quantum_2018}
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\citereferencemanual{Pre18}
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\item Google Quantum AI's quantum computing roadmap
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\item Google Quantum AI's quantum computing roadmap
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\citereference{google_quantum_ai_quantum_nodate}
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\citereferencemanual{Goo23}
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\end{itemize}
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\end{itemize}
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\vspace*{3mm}
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\vspace*{3mm}
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@@ -186,11 +210,20 @@
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\vspace*{3mm}
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\vspace*{3mm}
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\addreferences
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\addreferencesmanual
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{feynman_simulating_1982}
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{Fey82}{
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{preskill_quantum_2018}
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R. P. Feynman, ``Simulating physics with computers,'',
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{google_quantum_ai_quantum_nodate}
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\emph{International Journal of Theoretical Physics}, 1982.
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\stopreferences
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}
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{Pre18}{
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J. Preskill, ``Quantum Computing in the NISQ era and
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beyond,'' \emph{Quantum}, 2018.
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}
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{Goo23}{
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Google Quantum AI, \emph{Quantum Computing Roadmap}, URL:
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\url{https://quantumai.google/qecmilestone2023}, 2023.
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}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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% TODO: Where should I quote Preskill? There are multiple bullet
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% TODO: Where should I quote Preskill? There are multiple bullet
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@@ -225,7 +258,7 @@
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\item Quantum systems are inherently fragile
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\item Quantum systems are inherently fragile
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\item Interacting with the quantum state disturbs it
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\item Interacting with the quantum state disturbs it
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\item Idea: Represent \schlagwort{logical qubits} using more
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\item Idea: Represent \schlagwort{logical qubits} using more
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\schlagwort{physical qubits} \citereference{roffe_quantum_2019}
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\schlagwort{physical qubits} \citereferencemanual{Rof19}
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\vspace*{2mm}
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\vspace*{2mm}
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@@ -258,26 +291,36 @@
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\begin{itemize}
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\begin{itemize}
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\item Recent scheme by IBM encodes $12$ logical
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\item Recent scheme by IBM encodes $12$ logical
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qubits in $288$ physical ones
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qubits in $288$ physical ones
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\citereference{bravyi_high-threshold_2024}
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\citereferencemanual{BCG$^+$24}
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\item Physical error rate typically set to $10^{-3}$
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\item Physical error rate typically set to $10^{-3}$
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for simulations (e.g.,
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for simulations (e.g.,
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\citereference{bravyi_high-threshold_2024})
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\citereferencemanual{BCG$^+$24})
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\item Decode with ultra-low latency to avoid
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\item Decode with ultra-low latency to avoid
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\schlagwort{backlog problem} (about
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\schlagwort{backlog problem} (about
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$\SI{1}{\micro s}$ per data \\
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$\SI{1}{\micro s}$ per data \\
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extraction round)
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extraction round)
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\citereference{caune_demonstrating_2024}
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\citereferencemanual{CSB$^+$24}
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\end{itemize}
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\end{itemize}
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}
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}
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\end{itemize}
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\end{itemize}
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\vspace*{10mm}
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\vspace*{10mm}
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\addreferences
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\addreferencesmanual
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{roffe_quantum_2019}
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{Rof19}{
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{bravyi_high-threshold_2024}
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J. Roffe, ``Quantum error correction: An introductory
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{caune_demonstrating_2024}
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guide,'' \emph{Contemporary Physics}, 2019.
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\stopreferences
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}
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{BCG$^+$24}{
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S. Bravyi et al., ``High-threshold and low-overhead
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fault-tolerant quantum memory,'' \emph{Nature}, 2024.
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}
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{CSB$^+$24}{
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L. Caune et al., ``Demonstrating real-time and low-latency
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quantum error correction with superconducting qubits'',
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\emph{arXiv:2410.05202}, 2024.
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}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%
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@@ -311,7 +354,7 @@
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\item Classical systems built with bits and gates, quantum
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\item Classical systems built with bits and gates, quantum
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systems with qubits and quantum gates
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systems with qubits and quantum gates
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\item We have to consider phase flip errors in addition to
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\item We have to consider phase flip errors in addition to
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bit flip errors \citereference{roffe_quantum_2019}
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bit flip errors \citereferencemanual{Rof19}
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\end{itemize}
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\end{itemize}
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\vspace*{-3mm}
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\vspace*{-3mm}
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@@ -355,22 +398,31 @@
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\item Measuring the qubits directly destroys superpositions
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\item Measuring the qubits directly destroys superpositions
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and entanglement \\
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and entanglement \\
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$\rightarrow$ Use syndrome for decoding
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$\rightarrow$ Use syndrome for decoding
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\citereference{nielsen_quantum_2010}
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\citereferencemanual{NC10}
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}
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}
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\visible<3>{
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\visible<3>{
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\item Superposition $\rightarrow$ multiple solutions to the
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\item Superposition $\rightarrow$ multiple solutions to the
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decoding problem
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decoding problem
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(\schlagwort{quantum degeneracy})
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(\schlagwort{quantum degeneracy})
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\citereference{roffe_decoding_2020}}
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\citereferencemanual{RWB$^+$20}}
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\end{itemize}
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\end{itemize}
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\vspace*{12mm}
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\vspace*{12mm}
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\addreferences
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\addreferencesmanual
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{nielsen_quantum_2010}
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{Rof19}{
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{roffe_quantum_2019}
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J. Roffe, ``Quantum error correction: An introductory
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{roffe_decoding_2020}
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guide,'' \emph{Contemporary Physics}, 2019.
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\stopreferences
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}
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{NC10}{
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M. A. Nielsen and I. L. Chuang, ``Quantum Computation and
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Quantum Information'', \emph{Cambridge University Press}, 2010.
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}
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{RWB$^+$20}{
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J. Roffe et al., ``Decoding across the quantum low-density
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parity-check code landscape,'' \emph{Physical Review Research}, 2020.
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}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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\begin{frame}
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\begin{frame}
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@@ -387,7 +439,7 @@
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% of one another"
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% of one another"
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\begin{itemize}
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\begin{itemize}
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\item Stabilizer codes \citereference{nielsen_quantum_2010}
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\item Stabilizer codes \citereferencemanual{NC10}
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\begin{itemize}
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\begin{itemize}
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\item Implicitly defined using \schlagwort{stabilizer
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\item Implicitly defined using \schlagwort{stabilizer
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generators}
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generators}
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@@ -396,7 +448,7 @@
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\end{itemize}
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\end{itemize}
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\vspace*{10mm}
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\vspace*{10mm}
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\visible<2->{
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\visible<2->{
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\item \Acf{css} codes \citereference{nielsen_quantum_2010}
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\item \Acf{css} codes \citereferencemanual{NC10}
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\begin{itemize}
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\begin{itemize}
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\item Subset of stabilizer codes
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\item Subset of stabilizer codes
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\item Able to correct $\X$ and $\Z$ errors independently
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\item Able to correct $\X$ and $\Z$ errors independently
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@@ -412,9 +464,12 @@
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\vspace*{20mm}
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\vspace*{20mm}
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\addreferences
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\addreferencesmanual
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{nielsen_quantum_2010}
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{NC10}{
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\stopreferences
|
M. A. Nielsen and I. L. Chuang, ``Quantum Computation and
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|
Quantum Information'', \emph{Cambridge University Press}, 2010.
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|
}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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|
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% TODO: Do I need to show what the syndrome extraction circuitry for
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% TODO: Do I need to show what the syndrome extraction circuitry for
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@@ -427,7 +482,7 @@
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\begin{itemize}
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\begin{itemize}
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\item Entangle the state $\ket{\psi}$ with
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\item Entangle the state $\ket{\psi}$ with
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\schlagwort{ancilla qubits} to perform syndrome
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\schlagwort{ancilla qubits} to perform syndrome
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measurements \citereference{nielsen_quantum_2010}
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measurements \citereferencemanual{NC10}
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\item Example: The 3-qubit repetition code for $\X$ errors
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\item Example: The 3-qubit repetition code for $\X$ errors
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\end{itemize}
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\end{itemize}
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@@ -473,9 +528,12 @@
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\vspace*{10mm}
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\vspace*{10mm}
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|
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\addreferences
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\addreferencesmanual
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{nielsen_quantum_2010}
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{NC10}{
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\stopreferences
|
M. A. Nielsen and I. L. Chuang, ``Quantum Computation and
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|
Quantum Information'', \emph{Cambridge University Press}, 2010.
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}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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|
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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@@ -498,7 +556,7 @@
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$\rightarrow$ Need for \schlagwort{fault-tolerant} \acf{qec}
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$\rightarrow$ Need for \schlagwort{fault-tolerant} \acf{qec}
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\item In addition to correcting \schlagwort{input errors},
|
\item In addition to correcting \schlagwort{input errors},
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limit spread of \schlagwort{internal errors}
|
limit spread of \schlagwort{internal errors}
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\citereference{derks_designing_2025}
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\citereferencemanual{DTB$^+$25}
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\end{itemize}
|
\end{itemize}
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|
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\vspace*{3mm}
|
\vspace*{3mm}
|
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@@ -533,17 +591,23 @@
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\visible<2->{
|
\visible<2->{
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\item Modify syndrome extraction circuitry (e.g., multi-qubit
|
\item Modify syndrome extraction circuitry (e.g., multi-qubit
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states for each ancilla
|
states for each ancilla
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||||||
\citereference{shor_fault-tolerant_1997})
|
\citereferencemanual{Sho97})
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\item Multiple rounds of syndrome extraction
|
\item Multiple rounds of syndrome extraction
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}
|
}
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\end{itemize}
|
\end{itemize}
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|
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\vspace*{15mm}
|
\vspace*{15mm}
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|
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\addreferences
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\addreferencesmanual
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{shor_fault-tolerant_1997}
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{DTB$^+$25}{
|
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{derks_designing_2025}
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
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\stopreferences
|
circuits using detector error models,'' \emph{Quantum}, 2025.
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|
}
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|
{Sho97}{
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|
P. W. Shor, ``Fault-tolerant quantum computation,''
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\emph{arXiv:quant-ph/9605011}, 1997.
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}
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\stopreferencesmanual
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\end{frame}
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\end{frame}
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%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%
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@@ -557,7 +621,7 @@
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|
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\begin{itemize}
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\begin{itemize}
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\item \schlagwort{Measurement syndrome matrix} $\bm{\Omega}$ \\
|
\item \schlagwort{Measurement syndrome matrix} $\bm{\Omega}$ \\
|
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contains error patterns \citereference{derks_designing_2025}
|
contains error patterns \citereferencemanual{DTB$^+$25}
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\item Example: 3-qubit repetition code
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\item Example: 3-qubit repetition code
|
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\end{itemize}
|
\end{itemize}
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|
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@@ -810,9 +874,12 @@
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|
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\vspace*{8mm}
|
\vspace*{8mm}
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|
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\addreferences
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\addreferencesmanual
|
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{derks_designing_2025}
|
{DTB$^+$25}{
|
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\stopreferences
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
|
||||||
|
circuits using detector error models,'' \emph{Quantum}, 2025.
|
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|
}
|
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|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
\begin{frame}[fragile]
|
\begin{frame}[fragile]
|
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@@ -822,7 +889,7 @@
|
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|
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item \schlagwort{Measurement syndrome matrix} $\bm{\Omega}$ \\
|
\item \schlagwort{Measurement syndrome matrix} $\bm{\Omega}$ \\
|
||||||
contains error patterns \citereference{derks_designing_2025}
|
contains error patterns \citereferencemanual{DTB$^+$25}\
|
||||||
\item Example: 3-qubit repetition code
|
\item Example: 3-qubit repetition code
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
|
|
||||||
@@ -1112,9 +1179,12 @@
|
|||||||
|
|
||||||
\vspace*{4mm}
|
\vspace*{4mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{derks_designing_2025}
|
{DTB$^+$25}{
|
||||||
\stopreferences
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
|
||||||
|
circuits using detector error models,'' \emph{Quantum}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
% TODO: Journal not showing for derks_designing_2025
|
% TODO: Journal not showing for derks_designing_2025
|
||||||
@@ -1202,15 +1272,18 @@
|
|||||||
\item A detector is a parity constraint on a set of
|
\item A detector is a parity constraint on a set of
|
||||||
measurement outcomes
|
measurement outcomes
|
||||||
\item The \schlagwort{detector error matrix} $\bm{H}$ contains
|
\item The \schlagwort{detector error matrix} $\bm{H}$ contains
|
||||||
modified error patterns \citereference{derks_designing_2025}
|
modified error patterns \citereferencemanual{DTB$^+$25}\
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
}
|
}
|
||||||
|
|
||||||
\vspace*{10mm}
|
\vspace*{10mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{derks_designing_2025}
|
{DTB$^+$25}{
|
||||||
\stopreferences
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
|
||||||
|
circuits using detector error models,'' \emph{Quantum}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
\begin{frame}
|
\begin{frame}
|
||||||
@@ -1250,7 +1323,7 @@
|
|||||||
|
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item E.g., for \ac{bb} codes under circuit-level noise
|
\item E.g., for \ac{bb} codes under circuit-level noise
|
||||||
\citereference{gong_toward_2024}
|
\citereferencemanual{GCR24}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
|
|
||||||
\vspace*{-4mm}
|
\vspace*{-4mm}
|
||||||
@@ -1268,9 +1341,12 @@
|
|||||||
|
|
||||||
\vspace*{5mm}
|
\vspace*{5mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{gong_toward_2024}
|
{GCR24}{A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
\stopreferences
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'', 2024.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
\begin{frame}[fragile]
|
\begin{frame}[fragile]
|
||||||
@@ -1299,7 +1375,7 @@
|
|||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\visible<1->{
|
\visible<1->{
|
||||||
\item The \schlagwort{depolarizing channel} considers
|
\item The \schlagwort{depolarizing channel} considers
|
||||||
\citereference{nielsen_quantum_2010}
|
\citereferencemanual{NC10}
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item $\X$, $\Y$ or $\Z$ errors on
|
\item $\X$, $\Y$ or $\Z$ errors on
|
||||||
the data qubits
|
the data qubits
|
||||||
@@ -1307,7 +1383,7 @@
|
|||||||
}
|
}
|
||||||
\visible<2->{
|
\visible<2->{
|
||||||
\item \schlagwort{Phenomenological noise} considers
|
\item \schlagwort{Phenomenological noise} considers
|
||||||
\citereference{derks_designing_2025}
|
\citereferencemanual{DTB$^+$25}
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item $\X$ errors on data qubits before each \\
|
\item $\X$ errors on data qubits before each \\
|
||||||
measurement round
|
measurement round
|
||||||
@@ -1316,7 +1392,7 @@
|
|||||||
}
|
}
|
||||||
\visible<3->{
|
\visible<3->{
|
||||||
\item \schlagwort{Circuit-level noise} considers
|
\item \schlagwort{Circuit-level noise} considers
|
||||||
\citereference{derks_designing_2025}
|
\citereferencemanual{DTB$^+$25}
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item $\X$, $\Y$ or $\Z$ errors after
|
\item $\X$, $\Y$ or $\Z$ errors after
|
||||||
state preparation
|
state preparation
|
||||||
@@ -1395,10 +1471,16 @@
|
|||||||
|
|
||||||
\vspace*{8mm}
|
\vspace*{8mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{nielsen_quantum_2010}
|
{NC10}{
|
||||||
{derks_designing_2025}
|
M. A. Nielsen and I. L. Chuang, ``Quantum Computation and
|
||||||
\stopreferences
|
Quantum Information'', \emph{Cambridge University Press}, 2010.
|
||||||
|
}
|
||||||
|
{DTB$^+$25}{
|
||||||
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
|
||||||
|
circuits using detector error models,'' \emph{Quantum}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
\begin{frame}
|
\begin{frame}
|
||||||
@@ -1416,7 +1498,7 @@
|
|||||||
matrix and a noise model
|
matrix and a noise model
|
||||||
\visible<2->{
|
\visible<2->{
|
||||||
\item Tanner graph of detector error matrix of \ac{bb} code
|
\item Tanner graph of detector error matrix of \ac{bb} code
|
||||||
\citereference{koutsioumpas_automorphism_2025}
|
\citereferencemanual{KSW$^+$25}
|
||||||
}
|
}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
|
|
||||||
@@ -1436,20 +1518,32 @@
|
|||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item Repeated syndrome measurements lead to
|
\item Repeated syndrome measurements lead to
|
||||||
increased decoding complexity
|
increased decoding complexity
|
||||||
\citereference{gong_toward_2024}
|
\citereferencemanual{GCR24}
|
||||||
\item Degeneracy and short cycles lead to degraded
|
\item Degeneracy and short cycles lead to degraded
|
||||||
performance of \ac{bp}
|
performance of \ac{bp}
|
||||||
\citereference{babar_fifteen_2015}
|
\citereferencemanual{BBA$^+$15}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
}
|
}
|
||||||
|
|
||||||
\vspace*{20mm}
|
\vspace*{20mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{babar_fifteen_2015}
|
{KSW$^+$25}{
|
||||||
{gong_toward_2024}
|
S. Koutsioumpas et al., ``Automorphism Ensemble Decoding of
|
||||||
\stopreferences{}
|
Quantum LDPC Codes,'' \emph{arXiv:2503.01738}, 2025.
|
||||||
|
}
|
||||||
|
{GCR24}{
|
||||||
|
A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'' 2024.
|
||||||
|
}
|
||||||
|
{BBA$^+$15}{
|
||||||
|
Z. Babar et al., ``Fifteen Years of
|
||||||
|
Quantum LDPC Coding and Improved Decoding Strategies,''
|
||||||
|
\emph{IEEE Access}, 2015.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
@@ -1469,36 +1563,61 @@
|
|||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item Decoding complexity addressed with window-based approaches
|
\item Decoding complexity addressed with window-based approaches
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item Parallel decoding \citereference{skoric_parallel_2023}
|
\item Parallel decoding \citereferencemanual{SBB$^+$23}
|
||||||
\item Sliding windows
|
\item Sliding windows
|
||||||
\citereference{huang_improved_2023}
|
\citereferencemanual{HP23}
|
||||||
\citereference{gong_toward_2024}
|
\citereferencemanual{GCR24}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
\item Degraded \ac{bp} performance addressed with
|
\item Degraded \ac{bp} performance addressed with
|
||||||
modification or extension
|
modification or extension
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item \Ac{osd} post-processing
|
\item \Ac{osd} post-processing
|
||||||
\citereference{roffe_decoding_2020}
|
\citereferencemanual{RWB$^+$20}
|
||||||
\item Guided decimation \citereference{gong_toward_2024}
|
\item Guided decimation \citereferencemanual{GCR24}
|
||||||
\item Neural approaches
|
\item Neural approaches
|
||||||
\citereference{kuo_exploiting_2022}
|
\citereferencemanual{KL22}
|
||||||
\citereference{miao_quaternary_2025}
|
\citereferencemanual{MSL$^+$25}
|
||||||
\item Ensemble decoding
|
\item Ensemble decoding
|
||||||
\citereference{koutsioumpas_automorphism_2025}
|
\citereferencemanual{KSW$^+$25}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
|
|
||||||
\vspace*{5mm}
|
\vspace*{5mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{roffe_decoding_2020}
|
{SBB$^+$23}{
|
||||||
{kuo_exploiting_2022}
|
L. Skoric et al., ``Parallel window decoding enables scalable
|
||||||
{huang_improved_2023}
|
fault tolerant quantum computation,'' \emph{Nature
|
||||||
{skoric_parallel_2023}
|
Communications}, 2023.
|
||||||
{gong_toward_2024}
|
}
|
||||||
{miao_quaternary_2025}
|
{HP23}{
|
||||||
{koutsioumpas_automorphism_2025}
|
S. Huang and S. Puri, ``Improved Noisy Syndrome Decoding of
|
||||||
\stopreferences
|
Quantum LDPC Codes with Sliding Window,'' \emph{arXiv:2311.03307}, 2023.
|
||||||
|
}
|
||||||
|
{GCR24}{
|
||||||
|
A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'' 2024.
|
||||||
|
}
|
||||||
|
{RWB$^+$20}{
|
||||||
|
J. Roffe, et al., ``Decoding across the quantum low-density
|
||||||
|
parity-check code landscape,'' \emph{Physical Review}, 2020.
|
||||||
|
}
|
||||||
|
{KL22}{
|
||||||
|
K.- Y. Kuo and C.- Y. Lai, ``Exploiting degeneracy in belief
|
||||||
|
propagation decoding of quantum codes,'' \emph{npj Quantum
|
||||||
|
Information}, 2022.
|
||||||
|
}
|
||||||
|
{MSL$^+$25}{
|
||||||
|
S. Miao et al., ``Quaternary Neural Belief Propagation
|
||||||
|
Decoding of Quantum LDPC Codes with Overcomplete
|
||||||
|
Check Matrices'', \emph{IEEE Access}, 2025.
|
||||||
|
}
|
||||||
|
{KSW$^+$25}{
|
||||||
|
S. Koutsioumpas et al., ``Automorphism Ensemble Decoding of
|
||||||
|
Quantum LDPC Codes,'' \emph{arXiv:2503.01738}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
% TODO: Understand update equation for s_2'
|
% TODO: Understand update equation for s_2'
|
||||||
@@ -1508,7 +1627,7 @@
|
|||||||
\vspace*{-15mm}
|
\vspace*{-15mm}
|
||||||
|
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item Approach taken in \citereference{gong_toward_2024}
|
\item Approach taken in \citereferencemanual{GCR24}
|
||||||
resembles \acf{scldpc} code
|
resembles \acf{scldpc} code
|
||||||
\item They try \ac{bp} + \ac{osd} and a modification of
|
\item They try \ac{bp} + \ac{osd} and a modification of
|
||||||
\ac{bp} with guided decimation
|
\ac{bp} with guided decimation
|
||||||
@@ -1602,9 +1721,13 @@
|
|||||||
|
|
||||||
\vspace*{8mm}
|
\vspace*{8mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{gong_toward_2024}
|
{GCR24}{
|
||||||
\stopreferences
|
A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'' 2024.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%
|
||||||
@@ -1635,12 +1758,12 @@
|
|||||||
\item Future directions
|
\item Future directions
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item Adapt modified guided decimation decoder from
|
\item Adapt modified guided decimation decoder from
|
||||||
\citereference{gong_toward_2024} to pass soft
|
\citereferencemanual{GCR24} to pass soft
|
||||||
information
|
information
|
||||||
\item Investigate performance of different
|
\item Investigate performance of different
|
||||||
modifications of \ac{bp} for "inner decoder"
|
modifications of \ac{bp} for "inner decoder"
|
||||||
(e.g., quaternary neural \ac{bp}
|
(e.g., quaternary neural \ac{bp}
|
||||||
\citereference{miao_quaternary_2025})
|
\citereferencemanual{MSL$^+$25})
|
||||||
\item \ldots
|
\item \ldots
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
}
|
}
|
||||||
@@ -1648,10 +1771,18 @@
|
|||||||
|
|
||||||
\vspace*{10mm}
|
\vspace*{10mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{gong_toward_2024}
|
{GCR24}{
|
||||||
{miao_quaternary_2025}
|
A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
\stopreferences
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'' 2024.
|
||||||
|
}
|
||||||
|
{MSL$^+$25}{
|
||||||
|
S. Miao et al., ``Quaternary Neural Belief Propagation
|
||||||
|
Decoding of Quantum LDPC Codes with Overcomplete
|
||||||
|
Check Matrices'', \emph{IEEE Access}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
% TODO: Organize sections properly
|
% TODO: Organize sections properly
|
||||||
@@ -1669,9 +1800,9 @@
|
|||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
\item \red{For circuit-level noise, often, all error probabilities
|
\item \red{For circuit-level noise, often, all error probabilities
|
||||||
are set to the same value for simulations
|
are set to the same value for simulations
|
||||||
\citereference{fowler_high-threshold_2009}}
|
\citereferencemanual{FSG09}}
|
||||||
\item \red{There are other approaches (e.g., SDMB noise, SI noise)
|
\item \red{There are other approaches (e.g., SDMB noise, SI noise)
|
||||||
\citereference{derks_designing_2025}}
|
\citereferencemanual{DTB$^+$25}}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
|
|
||||||
\vspace*{10mm}
|
\vspace*{10mm}
|
||||||
@@ -1683,10 +1814,17 @@
|
|||||||
|
|
||||||
\vspace*{15mm}
|
\vspace*{15mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{derks_designing_2025}
|
{FSG09}{
|
||||||
{fowler_high-threshold_2009}
|
A. G. Fowler, A. M. Stephens, and P. Groszkowski,
|
||||||
\stopreferences
|
``High-threshold universal quantum computation on the surface
|
||||||
|
code,'' \emph{Physical Review}, 2009.
|
||||||
|
}
|
||||||
|
{DTB$^+$25}{
|
||||||
|
P.- J. H. S. Derks et al., ``Designing fault-tolerant
|
||||||
|
circuits using detector error models,'' \emph{Quantum}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%
|
||||||
@@ -1704,7 +1842,7 @@
|
|||||||
\item \red{Memory or stability experiment}
|
\item \red{Memory or stability experiment}
|
||||||
\item \red{Figure of merit: Footprint plot}
|
\item \red{Figure of merit: Footprint plot}
|
||||||
\item \red{Comparison with BB code also simulated by
|
\item \red{Comparison with BB code also simulated by
|
||||||
\citereference{gong_toward_2024}}
|
\citereferencemanual{GCR24}}
|
||||||
\item \red{Comparison with surface code}
|
\item \red{Comparison with surface code}
|
||||||
\end{itemize}
|
\end{itemize}
|
||||||
\end{minipage}%
|
\end{minipage}%
|
||||||
@@ -1742,7 +1880,7 @@
|
|||||||
\vspace*{5mm}
|
\vspace*{5mm}
|
||||||
|
|
||||||
\caption{Schematic workflow of surface code quantum
|
\caption{Schematic workflow of surface code quantum
|
||||||
computation \citereference{zhang_classical_2023}.}
|
computation \citereferencemanual{ZZC$^+$23}.}
|
||||||
\end{subfigure}%
|
\end{subfigure}%
|
||||||
\begin{subfigure}[t]{0.5\textwidth}
|
\begin{subfigure}[t]{0.5\textwidth}
|
||||||
\centering
|
\centering
|
||||||
@@ -1791,16 +1929,24 @@
|
|||||||
\vspace*{5mm}
|
\vspace*{5mm}
|
||||||
|
|
||||||
\caption{Block diagram of QEC using stabilizer codes
|
\caption{Block diagram of QEC using stabilizer codes
|
||||||
\citereference{miao_quaternary_2025}.}
|
\citereferencemanual{MSL$^+$25}.}
|
||||||
\end{subfigure}
|
\end{subfigure}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
|
|
||||||
% \vspace*{-2mm}
|
% \vspace*{-2mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{zhang_classical_2023}
|
{ZZC$^+$23}{
|
||||||
{miao_quaternary_2025}
|
F. Zhang et al., ``A Classical Architecture for Digital
|
||||||
\stopreferences
|
Quantum Computers,'' \emph{ACM Transactions on Quantum
|
||||||
|
Computing}, 2023.
|
||||||
|
}
|
||||||
|
{MSL$^+$25}{
|
||||||
|
S. Miao et al., ``Quaternary Neural Belief Propagation
|
||||||
|
Decoding of Quantum LDPC Codes with Overcomplete
|
||||||
|
Check Matrices'', \emph{IEEE Access}, 2025.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
\begin{frame}
|
\begin{frame}
|
||||||
@@ -1812,9 +1958,13 @@
|
|||||||
|
|
||||||
\vspace*{25mm}
|
\vspace*{25mm}
|
||||||
|
|
||||||
\addreferences
|
\addreferencesmanual
|
||||||
{gong_toward_2024}
|
{GCR24}{
|
||||||
\stopreferences
|
A. Gong, S. Cammerer, and J. M. Renes, ``Toward
|
||||||
|
Low-latency Iterative Decoding of QLDPC Codes Under
|
||||||
|
Circuit-Level Noise,'' 2024.
|
||||||
|
}
|
||||||
|
\stopreferencesmanual
|
||||||
\end{frame}
|
\end{frame}
|
||||||
|
|
||||||
% TODO: Is this really necessary?
|
% TODO: Is this really necessary?
|
||||||
|
|||||||
Reference in New Issue
Block a user