Merge branch 'main' of github.com:glassnotes/CPEN-400Q

glassnotes · Mar 30, 2023 · ea95ed8 · ea95ed8
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diff --git a/README.md b/README.md
@@ -29,6 +29,7 @@ wish.
 * 17 - Mixed states, noise, and quantum channels
 * 19 - Noisy quantum systems; introducing the oracle 
 * 20 - The oracle, query complexity, and Deutsch's algorithm
+* 21 - Grover's algorithm
 
 ## Resources
 

diff --git a/demos/Lecture20-Demos.ipynb b/demos/Lecture20-Demos.ipynb
@@ -0,0 +1,204 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "2944e1a3-aae3-40ed-ad15-b9002c1aac81",
+   "metadata": {},
+   "source": [
+    "# Demos: Lecture 20"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "bf787988-6a84-436f-98ed-43e3c0d186b4",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pennylane as qml\n",
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6160520c-3db8-467a-a6bc-3fd8e1ce9d54",
+   "metadata": {},
+   "source": [
+    "## Demo 1: Deutsch's algorithm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e27598eb-14fb-4988-b463-64f2e184540f",
+   "metadata": {},
+   "source": [
+    "\n",
+    "<img src=\"fig/deutsch_2.png\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "5aafd8d0-f2f1-40f3-8094-4d8e7f269d6e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def oracle(func=1):\n",
+    "    # 1: f(0) = f(1) = 0\n",
+    "    # Do nothing!\n",
+    "    \n",
+    "    # 2: f(0) = f(1) = 1\n",
+    "    if func == 2:\n",
+    "        qml.CNOT(wires=[0, 1])\n",
+    "        qml.PauliX(wires=0)\n",
+    "        qml.CNOT(wires=[0, 1])\n",
+    "        qml.PauliX(wires=0)\n",
+    "        \n",
+    "    # 3: f(0) = 0, f(1) = 1\n",
+    "    if func == 3:\n",
+    "        qml.CNOT(wires=[0, 1])\n",
+    "        \n",
+    "    # 4: f(0) = 1, f(1) = 0\n",
+    "    if func == 4:\n",
+    "        qml.PauliX(wires=0)\n",
+    "        qml.CNOT(wires=[0, 1])\n",
+    "        qml.PauliX(wires=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "682fe38b-3cee-4d5f-b34b-29fa9845fce4",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dev = qml.device('default.qubit', wires=2, shots=1)\n",
+    "\n",
+    "@qml.qnode(dev)\n",
+    "def deutsch_algorithm(func=None):\n",
+    "    qml.PauliX(wires=1)\n",
+    "    qml.Hadamard(wires=1)\n",
+    "    qml.Hadamard(wires=0)\n",
+    "    \n",
+    "    oracle(func)\n",
+    "    \n",
+    "    qml.Hadamard(wires=0)\n",
+    "    \n",
+    "    return qml.sample(wires=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "3699835c-7ee7-4bad-84b4-dd5c05755b49",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor(0, requires_grad=True)"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "deutsch_algorithm(1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "a328497f-d8da-4480-b35c-2552e9c6e706",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor(0, requires_grad=True)"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "deutsch_algorithm(2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "a11f439d-0897-4333-ab02-0727550ae5d8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor(1, requires_grad=True)"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "deutsch_algorithm(3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "ce56d081-d4f9-4de4-8931-ea0c464e0f15",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "tensor(1, requires_grad=True)"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "deutsch_algorithm(4)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "fa3f13c6-7ce2-48e4-b6c2-1781833d6130",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/demos/Lecture21-Demos-Blank.ipynb b/demos/Lecture21-Demos-Blank.ipynb
@@ -0,0 +1,122 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "2944e1a3-aae3-40ed-ad15-b9002c1aac81",
+   "metadata": {},
+   "source": [
+    "# Demos: Lecture 21"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "791fb07d-2803-4c3d-8db4-204d64521865",
+   "metadata": {},
+   "source": [
+    "## Demo 1: Grover's algorithm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9a4c5242-c8e1-4bed-956f-5030a941d932",
+   "metadata": {},
+   "source": [
+    "<img src=\"fig/grover_full.png\" width=\"400px\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "fa18b6e2-989a-454b-a48a-d4616bee7f0d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pennylane as qml\n",
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "fc4a1d76-863f-41a7-8c79-43fc0aba128b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "n_bits = 5\n",
+    "special_string = '' \n",
+    "\n",
+    "dev = qml.device('default.qubit', wires=n_bits+1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "424747fb-e9f3-4f19-99a2-24a92a0b40e5",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "b848aeb4-d47e-4b47-ba9c-ab828f5fb808",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "071d6fcd-5f66-4534-b339-f106595be629",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "cd66dcca-36b6-4d2f-8a66-70900c02a0e7",
+   "metadata": {},
+   "source": [
+    "For plotting after the implementation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "8141da30-eb89-493b-979c-365d097c7c2e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "for n in range(10):\n",
+    "    plt.bar(\n",
+    "        list(range(2 ** n_bits)),\n",
+    "        grover(num_steps=n)\n",
+    "    )\n",
+    "    plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.8.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}