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diff --git a/README.html b/README.html
@@ -182,23 +182,33 @@
         </ul>
         <p aria-level="2" class="caption" role="heading"><span class="caption-text">Basics</span></p>
 <ul class="nav bd-sidenav">
-<li class="toctree-l1"><a class="reference internal" href="state.html">States</a></li>
-<li class="toctree-l1"><a class="reference internal" href="operator.html">Operators</a></li>
-<li class="toctree-l1"><a class="reference internal" href="channel.html">Channels</a></li>
+<li class="toctree-l1 has-children"><a class="reference internal" href="basic.html">Quantum computation</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
+<li class="toctree-l2"><a class="reference internal" href="state.html">States</a></li>
+<li class="toctree-l2"><a class="reference internal" href="operator.html">Operators</a></li>
+<li class="toctree-l2"><a class="reference internal" href="channel.html">Channels</a></li>
 </ul>
-<p aria-level="2" class="caption" role="heading"><span class="caption-text">Hamiltonians</span></p>
-<ul class="nav bd-sidenav">
-<li class="toctree-l1"><a class="reference internal" href="spin.html">Spin</a></li>
-<li class="toctree-l1"><a class="reference internal" href="fermion.html">Fermion</a></li>
-<li class="toctree-l1"><a class="reference internal" href="field.html">Gauge Field</a></li>
+</details></li>
+<li class="toctree-l1"><a class="reference internal" href="simulation.html">Quantum simulation</a></li>
+<li class="toctree-l1 has-children"><a class="reference internal" href="hamiltonian.html">Gallery of toy models</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
+<li class="toctree-l2"><a class="reference internal" href="spin.html">Spin</a></li>
+<li class="toctree-l2"><a class="reference internal" href="fermion.html">Fermion</a></li>
+<li class="toctree-l2"><a class="reference internal" href="field.html">Gauge Field</a></li>
+</ul>
+</details></li>
 </ul>
-<p aria-level="2" class="caption" role="heading"><span class="caption-text">Product Formula</span></p>
+<p aria-level="2" class="caption" role="heading"><span class="caption-text">Algorithms</span></p>
 <ul class="nav bd-sidenav">
-<li class="toctree-l1"><a class="reference internal" href="ordering.html">Ordering</a></li>
-<li class="toctree-l1"><a class="reference internal" href="grouping.html">Grouping</a></li>
-<li class="toctree-l1"><a class="reference internal" href="interference.html">Error interference</a></li>
-<li class="toctree-l1"><a class="reference internal" href="localization.html">Error localization</a></li>
-<li class="toctree-l1"><a class="reference internal" href="average.html">Average error</a></li>
+<li class="toctree-l1 has-children"><a class="reference internal" href="trotter.html">Product formula</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
+<li class="toctree-l2"><a class="reference internal" href="ordering.html">Ordering</a></li>
+<li class="toctree-l2"><a class="reference internal" href="grouping.html">Grouping</a></li>
+<li class="toctree-l2"><a class="reference internal" href="interference.html">Error interference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="localization.html">Error localization</a></li>
+<li class="toctree-l2"><a class="reference internal" href="average.html">Average error</a></li>
+</ul>
+</details></li>
+<li class="toctree-l1"><a class="reference internal" href="lcu.html">LCU</a></li>
+
+<li class="toctree-l1"><a class="reference internal" href="qsp.html">QSP and QSVT</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Classical simulation</span></p>
 <ul class="nav bd-sidenav">

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diff --git a/_sources/basic.ipynb b/_sources/basic.ipynb
@@ -4,7 +4,21 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Basic"
+    "# Quantum computation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Quantum Information"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Quantum Computation"
    ]
   }
  ],

diff --git a/_sources/hamiltonian.ipynb b/_sources/hamiltonian.ipynb
@@ -0,0 +1,32 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Gallery of toy models"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.14"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/_sources/intro.md b/_sources/intro.md
@@ -7,6 +7,8 @@
 <!-- Check out the content pages bundled with this sample book to see more. -->
 <!-- Table of Content -->
 
+This is a pedagogic tutorial on quantum simulation with code.
+
 ```{tableofcontents}
 ```
 

diff --git a/_sources/lcu.ipynb b/_sources/lcu.ipynb
@@ -0,0 +1,87 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "93e1e53b",
+   "metadata": {},
+   "source": [
+    "## LCU"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8b24f5d3",
+   "metadata": {},
+   "source": [
+    "## Post Trotter algorithms\n",
+    "\n",
+    "Tutorials:\n",
+    "- Robin Kothari: https://www.youtube.com/watch?v=mWg56DxtDy0\n",
+    "- Nathan Wiebe: https://www.youtube.com/watch?v=UpZLyXsdJnA"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "2763848a",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from qiskit.quantum_info import SparsePauliOp, Statevector\n",
+    "\n",
+    "import quantum_simulation_recipe as qsr\n",
+    "from quantum_simulation_recipe import spin_ham"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ed26007b",
+   "metadata": {},
+   "source": [
+    "### Block encoding"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e4dfa4db",
+   "metadata": {},
+   "source": [
+    "### Amplitude amplification"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9f801c1c",
+   "metadata": {},
+   "source": [
+    "### Oblivious amplitude amplification"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3.8.8 ('base')",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.14"
+  },
+  "vscode": {
+   "interpreter": {
+    "hash": "4e8ef2f9fcac0817bca9a7ca376f64f20b4df5ea3bf7af756a50bda7d3557ea6"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/_sources/ordering.ipynb b/_sources/ordering.ipynb
@@ -8,59 +8,6 @@
     "# Ordering"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "id": "b3f31dc4",
-   "metadata": {},
-   "source": [
-    "Trotter Tutorials:\n",
-    "- https://qiskit-community.github.io/qiskit-algorithms/tutorials/13_trotterQRTE.html#\n",
-    "- https://nbviewer.org/github/DavitKhach/quantum-algorithms-tutorials/blob/master/Hamiltonian_simulation.ipynb"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "id": "84ac0b32",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "SparsePauliOp(['IIXX', 'IXXI', 'XXII', 'IIYY', 'IYYI', 'YYII', 'IIZZ', 'IZZI', 'ZZII', 'IIIX', 'IIXI', 'IXII', 'XIII'],\n",
-       "              coeffs=[1. +0.j, 1. +0.j, 1. +0.j, 1. +0.j, 1. +0.j, 1. +0.j, 1. +0.j, 1. +0.j,\n",
-       " 1. +0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j, 0.2+0.j])"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "import quantum_simulation_recipe as qsr\n",
-    "from quantum_simulation_recipe import spin_ham\n",
-    "\n",
-    "H = spin_ham.Nearest_Neighbour_1d(4)\n",
-    "H.ham"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "b45a921c",
-   "metadata": {},
-   "source": [
-    "## Lie-Trotter-Suzuki product formula"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "d2c55840",
-   "metadata": {},
-   "source": [
-    "## High-order product formula"
-   ]
-  },
   {
    "cell_type": "markdown",
    "id": "ad7989ef",

diff --git a/_sources/ordering_chem.ipynb b/_sources/ordering_chem.ipynb
diff --git a/_sources/qsp.ipynb b/_sources/qsp.ipynb
@@ -0,0 +1,87 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "8b24f5d3",
+   "metadata": {},
+   "source": [
+    "# QSP and QSVT\n",
+    "\n",
+    "Tutorials:\n",
+    "- Robin Kothari: https://www.youtube.com/watch?v=mWg56DxtDy0\n",
+    "- Nathan Wiebe: https://www.youtube.com/watch?v=UpZLyXsdJnA"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "2763848a",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from qiskit.quantum_info import SparsePauliOp, Statevector\n",
+    "\n",
+    "import quantum_simulation_recipe as qsr\n",
+    "from quantum_simulation_recipe import spin_ham"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ed26007b",
+   "metadata": {},
+   "source": [
+    "### Block encoding"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e4dfa4db",
+   "metadata": {},
+   "source": [
+    "### Amplitude amplification"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e704fe72",
+   "metadata": {},
+   "source": [
+    "## QSP"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9f801c1c",
+   "metadata": {},
+   "source": [
+    "### Oblivious amplitude amplification"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3.8.8 ('base')",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.14"
+  },
+  "vscode": {
+   "interpreter": {
+    "hash": "4e8ef2f9fcac0817bca9a7ca376f64f20b4df5ea3bf7af756a50bda7d3557ea6"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}