Demonstration

.gitignore

@@ -126,3 +126,10 @@ qasm3Parser.g4
 .gitignore
 
 config.json
+
+# LaTeX Builds
+*.aux
+*.fdb_latexmk
+*.fls
+*.log
+*.gz

README.md

@@ -29,7 +29,7 @@ Finally, apply a measurement gate to every qubit to convert the quantum data int
 After this process, we obtain the following quantum circuit.
 <div align='center'>
 
-![Figure 1](./figures/readme_figure_1.png)
+![Figure 1](./figures/readme/figure_1.png)
 
 </div>
 
@@ -79,7 +79,7 @@ meas = measure q;
 
 <div align='center'>
 
-![Figure 2](./figures/readme_figure_2.png)
+![Figure 2](./figures/readme/figure_2.png)
 
 </div>
 The general workflow of QuantumC is shown in the diagram above: write a QuantumC program, compile it with the frontend to produce OpenQASM, then run that OpenQASM code to a local simulator or a cloud quantum backend. 

demos/random/README.md

@@ -1 +1,23 @@
 # Quantum Random Number Generator
+
+## Algorithm Description
+
+This quantum algorithm generates a uniformly distributed random number.
+
+### Generating An Integer $n \in [a, b)$
+
+$$
+\begin{equation}
+    n = a + \left(\sum_{i=0}^{n-1} 2^ib_i \mod (b-a)\right)
+\end{equation}
+$$
+
+### Generating A Floating-Point $f \in [a, b]$
+
+$$
+\begin{equation}
+    f = a + \frac{b-a}{2^n-1} \sum_{i=0}^{n-1} 2^ib_i
+\end{equation}
+$$
+
+## Quantum Circuit Represenation

figures/random/figure_1.tex

@@ -0,0 +1,14 @@
+\documentclass{article}
+
+\usepackage{amsmath}
+\usepackage{tikz}
+\usetikzlibrary{quantikz2}
+
+\begin{document}
+    \begin{quantikz}
+        \lstick{$\ket{0}$} \slice{$\ket{0}^{\otimes{n}}$} & \gate{H} \slice{$\ket{+}^{\otimes{n}}$} & \meter{} \\
+        \lstick{$\ket{0}$} & \gate{H} & \meter{} \\
+        \wave & & \\
+        \lstick{$\ket{0}$} & \gate{H} & \meter{}
+    \end{quantikz}
+\end{document}