DQCO LaTeX commands

commands.tex

% Import essential packages
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}

% Define common constructs
\newcommand{\cat}[1]{|#1\rangle}
\newcommand{\bra}[1]{\langle#1|}
\newcommand{\bracat}[2]{\langle#1|#2\rangle}
\newcommand{\sqav}[1]{\big|#1\big|^2} %	square of the absolute value
\newcommand{\csqrt}{\frac{1}{\sqrt{2}}}

\newcommand{\vb}[2]{\begin{pmatrix}#1\\#2\end{pmatrix}} % vertical basis
\newcommand{\hb}[2]{\begin{pmatrix}#1&#2\end{pmatrix}}  % horizontal basis

% Common cat
\newcommand{\cz}{\cat{0}}   % cat zero
\newcommand{\co}{\cat{1}}   % cat one
\newcommand{\cp}{\cat{+}}   % cat plus
\newcommand{\cm}{\cat{-}}   % cat minus
% Common bra
\newcommand{\bz}{\bra{0}}   % bra zero
\newcommand{\bo}{\bra{1}}   % bra one
\newcommand{\bp}{\bra{+}}   % bra plus
\newcommand{\bm}{\bra{-}}   % bra minus
% Common bra _ cat _
\newcommand{\bczz}{\bracat{0}{0}}   % bra zero, cat zero
\newcommand{\bczo}{\bracat{0}{1}}   % bra zero, cat one
\newcommand{\bcoz}{\bracat{1}{0}}   % bra one, cat zero
\newcommand{\bcoo}{\bracat{1}{1}}   % bra one, cat one

\newcommand{\Ha}{\hat{H}} % Hadamar