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doc/src/week12/Latexfiles/hhl_beamer_with_qpe_poisson.tex renamed to doc/src/week12/Latexfiles/hhlslides.tex

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\usepackage[T1]{fontenc}
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\usepackage{amsmath,amssymb,amsfonts,bm,mathtools}
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\usepackage{physics}
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\usepackage{braket}
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\usepackage{quantikz}
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\usepackage{graphicx}
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\usepackage{booktabs}
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\usetheme{Madrid}
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\title{Quantum Simulation and the HHL Algorithm}
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\subtitle{with Phase Estimation Circuits and a Worked Example for the 1D Poisson Equation}
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\author{}
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\date{}
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%\subtitle{with Phase Estimation Circuits and a Worked Example for the 1D Poisson Equation}
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\author{Morten Hjorth-Jensen}
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\date{Spring 2026}
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\begin{document}
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@@ -92,14 +91,12 @@ \section{Quantum Phase Estimation}
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\end{frame}
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\begin{frame}{Phase Estimation Circuit}
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\[
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\begin{quantikz}[row sep=0.35cm, column sep=0.45cm]
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\lstick{\ket{0}} & \gate{H} & \ctrl{3} & \qw & \qw & \gate[wires=3]{QFT^\dagger} & \meter{} \\
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\lstick{\ket{0}} & \gate{H} & \qw & \ctrl{2} & \qw & & \meter{} \\
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\lstick{\ket{0}} & \gate{H} & \qw & \qw & \ctrl{1} & & \meter{} \\
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\lstick{\ket{u}} & \qw & \gate{U} & \gate{U^2} & \gate{U^4} & \qw & \qw
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\lstick{$|0\rangle$} & \gate{H} & \ctrl{3} & \qw & \qw & \gate[wires=3]{\mathrm{QFT}^\dagger} & \meter{} \\
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\lstick{$|0\rangle$} & \gate{H} & \qw & \ctrl{2} & \qw & & \meter{} \\
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\lstick{$|0\rangle$} & \gate{H} & \qw & \qw & \ctrl{1} & & \meter{} \\
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\lstick{$|u\rangle$} & \qw & \gate{U} & \gate{U^2} & \gate{U^4} & \qw & \qw
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\end{quantikz}
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\]
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\end{frame}
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\begin{frame}{How the Phases Accumulate}
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\end{frame}
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\begin{frame}{Full HHL Circuit Schematic}
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\[
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\begin{quantikz}[row sep=0.35cm, column sep=0.38cm]
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\lstick{\ket{0}} & \qw & \gate[style={fill=blue!10}]{R(\lambda^{-1})} & \qw & \meter{} \\
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\lstick{\ket{0}^{\otimes m}} & \gate[wires=2, style={fill=green!10}]{\mathrm{QPE}(e^{iAt})} & \qw & \gate[wires=2, style={fill=green!10}]{\mathrm{QPE}^\dagger} & \qw \\
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\lstick{\ket{b}} & \qw & \qw & \qw & \rstick{\ket{x}\propto A^{-1}\ket{b}}
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\lstick{$|0\rangle$} & \qw & \gate[style={fill=blue!10}]{R(\lambda^{-1})} & \qw & \meter{} \\
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\lstick{$|0\rangle^{\otimes m}$} & \gate[wires=2, style={fill=green!10}]{\mathrm{QPE}(e^{iAt})} & \qw & \gate[wires=2, style={fill=green!10}]{\mathrm{QPE}^\dagger} & \qw \\
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\lstick{$|b\rangle$} & \qw & \qw & \qw & \rstick{$|x\rangle\propto A^{-1}|b\rangle$}
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\end{quantikz}
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\]
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\end{frame}
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\begin{frame}{HHL State Evolution}

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