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Mark 2024-02-26 07:47:45 -08:00
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28
Advanced/Introduction to Quantum/src/week 2.tex → Advanced/Introduction to Quantum/src/main.tex
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@ -16,39 +16,39 @@
% use the [nosolutions] flag to hide solutions, % use the [nosolutions] flag to hide solutions,
% use the [solutions] flag to show solutions. % use the [solutions] flag to show solutions.
\documentclass[ \documentclass[
nosolutions, solutions,
singlenumbering, singlenumbering
shortwarning
]{../../../resources/ormc_handout} ]{../../../resources/ormc_handout}
\usepackage{../../../resources/macros} \usepackage{../../../resources/macros}
\usepackage{units} \usepackage{units}
\input{tikzset} \input{tikzset}
\uptitlel{Advanced 2}
\uptitler{Winter 2024}
\title{Intro to Quantum Computing}
\subtitle{Prepared by \githref{Mark} on \today{}}
\def\ket#1{\left|#1\right\rangle} \def\ket#1{\left|#1\right\rangle}
\def\bra#1{\left\langle#1\right|} \def\bra#1{\left\langle#1\right|}
\uptitlel{Advanced 2}
\uptitler{Winter 2024}
\title{Intro to Quantum Computing II}
\subtitle{Prepared by \githref{Mark} on \today{}}
% TODO: spend more time on probabalistic bits.
% This could even be its own handout, especially
% for younger classes!
% Hack to keep numbering from previous handout % Why are qubits amplitudes instead of probabilities?
\makeatletter % (Asher question)
\setcounter{\@problemcounter}{34}
\setcounter{section_counter}{6}
\makeatother
\begin{document} \begin{document}
\maketitle \maketitle
\input{parts/01 bits}
\input{parts/02 qubit}
\input{parts/03 two qubits} \input{parts/03 two qubits}
\input{parts/04 logic gates} \input{parts/04 logic gates}
\input{parts/05 quantum gates} \input{parts/05 quantum gates}
\input{parts/06 hxh} \input{parts/06 hxh}
\input{parts/07 superdense} \input{parts/07 superdense}
\input{parts/08 teleport} \input{parts/08 teleport}
\end{document} \end{document}

72
Advanced/Introduction to Quantum/src/week 1.tex
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@ -1,72 +0,0 @@
% Copyright (C) 2023 <Mark (mark@betalupi.com)>
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% You may have received a copy of the GNU General Public License
% along with this program. If not, see <https://www.gnu.org/licenses/>.
%
%
%
% If you edit this, please give credit!
% Quality handouts take time to make.
% use the [nosolutions] flag to hide solutions,
% use the [solutions] flag to show solutions.
\documentclass[
solutions,
singlenumbering
]{../../../resources/ormc_handout}
\usepackage{../../../resources/macros}
\usepackage{units}
\input{tikzset}
\uptitlel{Advanced 2}
\uptitler{Winter 2024}
\title{Intro to Quantum Computing I}
\subtitle{Prepared by \githref{Mark} on \today{}}
\def\ket#1{\left|#1\right\rangle}
\def\bra#1{\left\langle#1\right|}
% TODO: spend more time on probabalistic bits.
% This could even be its own handout, especially
% for younger classes!
% Why are qubits amplitudes instead of probabilities?
% (Asher question)
\begin{document}
\maketitle
\input{parts/01 bits}
\input{parts/02 qubit}
\input{parts/03 two qubits}
\input{parts/04 logic gates}
\input{parts/05 quantum gates}
\section{Bonus Problems (Putnam)}
\problem{}
Suppose $A$ is a real, square matrix that satisfies $A^3 = A + I$. \par
Show that $\text{det}(A)$ is positive.
\vfill
\problem{}
Suppose $A, B$ are $2 \times 2$ complex matrices satisfying $AB = BA$, \par
and assume $A$ is not of the form $aI$ for some complex $a$. \par
Show that $B = xA + yI$ for complex $x$ and $y$.
\vfill
\problem{}
Is there an infinite sequence of real numbers $a_1, a_2, ...$ so that \par
$a_1^m + a_2^m + ... = m$ for every positive integer $m$?
\vfill
\end{document}