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# yquant
Typesetting quantum circuits in a human-readable language
yquant is a LaTeX package that allows to quickly draw quantum circuits. It bridges the gap between the two groups of packages that already exist: those that use a logic-oriented custom language, which is then translated into TeX by means of an external program; and the pure TeX versions that mainly provide some macros to allow for an easier input.
yquant is a pure-LaTeX solution - i.e., it requires no external program - that introduces a logic oriented language and thus brings the best of both worlds together.
It builds on and interacts with TiKZ, which brings an enourmous flexibility for customization of individual circuit.
A detailed reference with lots of examples is provided in the PDF version of this Readme. We will sketch some basic usage.
Now yquant also understands circuits written in the qasm language!
## License
This material is subject to the LaTeX Project Public License 1.3c.
## Examples
Many more examples and explanations can be found in the [PDF version](https://github.com/projekter/yquant/raw/master/doc/latex/yquant/yquant-doc.pdf) of this Readme.
### Simple teleportation circuit
```LaTeX
\begin{tikzpicture}
\begin{yquant}
qubit {$\ket{\reg_{\idx}}$} q[3];
h q[1];
cnot q[2] | q[1];
cnot q[1] | q[0];
h q[0];
measure q[0-1];
z q[2] | q[1];
x q[2] | q[0];
\end{yquant}
\end{tikzpicture}
```
### Three-qubit phase estimation circuit with QFT and controlled-U
```LaTeX
\begin{tikzpicture}
\begin{yquant}
qubit {$\ket{j_{\idx}} = \ket0$} j[3];
qubit {$\ket{s_{\idx}}$} s[2];
h j;
box {$U^4$} (s) | j[0];
box {$U^2$} (s) | j[1];
box {$U$} (s) | j[2];
h j[0];
box {$S$} j[1] | j[0];
h j[1];
box {$T$} j[2] | j[0];
box {$S$} j[2] | j[1];
h j[2];
measure j;
\end{yquant}
\end{tikzpicture}
```
### Three-qubit FT QEC circuit with syndrome measurement
```LaTeX
\begin{tikzpicture}
\begin{yquant}
qubit {$\ket{q_{\idx}}$} q[3];
qubit {$\ket{s_{\idx}} = \ket0$} s[2];
cbit {$c_{\idx} = 0$} c[2];
h s[0];
cnot s[1] | s[0];
cnot s[0] | q[0];
cnot s[1] | q[1];
cnot s[1] | s[0];
h s[0];
measure s;
cnot c[0] | s[0];
cnot c[1] | s[1];
discard s;
init {$\ket0$} s;
h s[0];
cnot s[1] | s[0];
cnot s[0] | q[1];
cnot s[1] | q[2];
cnot s[1] | s[0];
h s[0];
measure s;
box {Process\\Syndrome} (s, c);
box {$\mathcal R$} (q) | s, c;
\end{yquant}
\end{tikzpicture}
```
### Error correction
```LaTeX
% \usetikzlibrary{fit, quotes}
\begin{tikzpicture}
\begin{yquant}
qubit {} msg[3];
[name=inits]
qubit {$\ket0$} syndrome[3];
[name=scnot0]
cnot syndrome[0] | msg[0];
cnot syndrome[0] | msg[1];
cnot syndrome[1] | msg[1];
cnot syndrome[1] | msg[2];
cnot syndrome[2] | msg[0];
cnot syndrome[2] | msg[2];
[name=smeas]
dmeter {$M_{\symbol{\numexpr`a+\idx}}$} syndrome;
["Recovery"]
box {$\mathcal R$} (msg) | syndrome;
discard syndrome;
\end{yquant}
\node[draw, dashed, fit=(inits-2) (scnot0-p0) (smeas-2), "Syndrome Measurement"] {};
\end{tikzpicture}
```
### Lots of controls
```LaTeX
\begin{tikzpicture}
\begin{yquant*}
zz (a[0, 2]);
cnot a[1] ~ a[0];
zz (a[2, 3]);
h a[3] | a[0] ~ a[1];
measure a[2, 3];
box {$U$} (a[0, 1]) | a[3] ~ a[2];
discard a[2, 3];
\end{yquant*}
\end{tikzpicture}
```
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