\( \newcommand{\blah}{blah-blah-blah} \newcommand{\eqb}[1]{\begin{eqnarray*}#1\end{eqnarray*}} \newcommand{\eqbn}[1]{\begin{eqnarray}#1\end{eqnarray}} \newcommand{\bb}[1]{\mathbf{#1}} \newcommand{\mat}[1]{\begin{bmatrix}#1\end{bmatrix}} \newcommand{\nchoose}[2]{\left(\begin{array}{c} #1 \\ #2 \end{array}\right)} \newcommand{\defn}{\stackrel{\vartriangle}{=}} \newcommand{\rvectwo}[2]{\left(\begin{array}{c} #1 \\ #2 \end{array}\right)} \newcommand{\rvecthree}[3]{\left(\begin{array}{r} #1 \\ #2\\ #3\end{array}\right)} \newcommand{\rvecdots}[3]{\left(\begin{array}{r} #1 \\ #2\\ \vdots\\ #3\end{array}\right)} \newcommand{\vectwo}[2]{\left[\begin{array}{r} #1\\#2\end{array}\right]} \newcommand{\vecthree}[3]{\left[\begin{array}{r} #1 \\ #2\\ #3\end{array}\right]} \newcommand{\vecfour}[4]{\left[\begin{array}{r} #1 \\ #2\\ #3\\ #4\end{array}\right]} \newcommand{\vecdots}[3]{\left[\begin{array}{r} #1 \\ #2\\ \vdots\\ #3\end{array}\right]} \newcommand{\eql}{\;\; = \;\;} \definecolor{dkblue}{RGB}{0,0,120} \definecolor{dkred}{RGB}{120,0,0} \definecolor{dkgreen}{RGB}{0,120,0} \newcommand{\bigsp}{\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;} \newcommand{\plss}{\;\;+\;\;} \newcommand{\miss}{\;\;-\;\;} \newcommand{\implies}{\Rightarrow\;\;\;\;\;\;\;\;\;\;\;\;} \newcommand{\prob}[1]{\mbox{Pr}\left[ #1 \right]} \newcommand{\exval}[1]{\mbox{E}\left[ #1 \right]} \newcommand{\variance}[1]{\mbox{Var}\left[ #1 \right]} \newcommand{\kt}[1]{\left\vert #1 \right\rangle} \newcommand{\br}[1]{\left\langle #1 \right\vert} \newcommand{\bkt}[2]{\left\langle #1 \middle\vert #2 \right\rangle} \newcommand{\inr}[2]{\left\langle #1 \middle\vert #2 \right\rangle} \newcommand{\inrs}[2]{\left\langle #1 \: \middle\vert\: #2 \right\rangle} \newcommand{\inrh}[2]{ \left\langle \vphantom{\huge x} #1 \: \middle\vert \: #2 \right\rangle } \newcommand{\swich}[3]{\left\langle #1 \middle\vert #2 \middle\vert #3\right\rangle} \newcommand{\swichs}[3]{\left\langle #1 \:\middle\vert \: #2 \: \middle\vert \: #3\right\rangle} \newcommand{\swichh}[3]{\left\langle \vphantom{\huge x} #1 \;\middle\vert \; #2 \; \middle\vert \; #3\right\rangle} \newcommand{\otr}[2]{\left\vert #1 \right\rangle\!\left\langle #2 \right\vert} \newcommand{\pss}{\large\psi} \newcommand{\re}{\mbox{Re }} \newcommand{\im}{\mbox{Im }} \newcommand{\mag}[1]{\left\vert #1 \right\vert} \newcommand{\magsq}[1]{{\left\vert #1 \right\vert}^2} \newcommand{\isqt}[1]{\frac{#1}{\sqrt{2}}} \newcommand{\mbx}[1]{\;\;\;\;\;\;\;\;{\scriptsize \color{Gray}{\mbox{ #1}}}} \newcommand{\ksi}{\kt{\psi}} \)


Summary of Key Results from Module 2: Quantum Linear Algebra, Part I

 





© 2022, Rahul Simha