updating CNOT-Dihedral RB tutorial

Author: ShellyGarion

qiskit/advanced/ignis/5d_cnot_dihedral_rb.ipynb

@@ -4,7 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "<img src=\"../../../images/qiskit_header.png\" alt=\"Note: In order for images to show up in this jupyter notebook you need to select File => Trusted Notebook\" align=\"middle\">"
+    "![qiskit_header.png](attachment:qiskit_header.png)"
    ]
   },
   {
@@ -13,15 +13,25 @@
    "source": [
     "# Non-Clifford CNOT-Dihedral Randomized Benchmarking\n",
     "\n",
-    "- Last Updated: January 8, 2020\n",
+    "- Last Updated: Feburary 19, 2020\n",
     "- Requires: qiskit-terra 0.11, qiskit-ignis 0.3, qiskit-aer 0.3.4\n",
     "\n",
     "## Introduction\n",
     "\n",
     "**Non-Clifford CNOT-Dihedral Randomized Benchmarking** is a variant of the Randomized Benchmarking (RB) method that is used for benchmarking certain non-Clifford gates via randomization, taken from the so-called *CNOT-dihedral group* which is generated by CNOTs and a single qubit dihedral group $\\langle T, X \\rangle$.\n",
     "The method is based on the paper \"Scalable randomized benchmarking of non-Clifford gates\"(https://arxiv.org/abs/1510.02720).\n",
     "\n",
-    "This notebook gives an example for how to use the ``ignis.verification.randomized_benchmarking`` module in order to perform interleaved RB."
+    "This notebook gives an example for how to use the ``ignis.verification.randomized_benchmarking`` module in order to perform interleaved RB.\n",
+    "\n",
+    "This notebook contains the following steps.\n",
+    "\n",
+    "1) Select the parameters for the non-Clifford CNOT-Dihedral RB and generate the RB sequences.\n",
+    "\n",
+    "2) Execute the RB circuits using Qiskit Aer Simulator (with some noise model).\n",
+    "\n",
+    "3) Fit the results and calculate the fidelity.\n",
+    "\n",
+    "4) Possible generalizations: generate non-Clifford CNOT-Dihedral RB sequences for interleaved RB and purity RB."
    ]
   },
   {
@@ -48,7 +58,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Select the Parameters of the non-Clifford CNOT-Dihedral RB Run\n",
+    "## 1.1) Select the parameters of the non-Clifford CNOT-Dihedral RB run\n",
     "\n",
     "First, we need to choose the regular RB parameters:\n",
     "\n",
@@ -91,7 +101,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Generate non-Clifford CNOT-Dihedral RB sequences\n",
+    "## 1.2) Generate non-Clifford CNOT-Dihedral RB sequences\n",
     "\n",
     "We generate RB sequences. We start with a small example (so it doesn't take too long to run).\n",
     "\n",
@@ -226,7 +236,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Define the noise model\n",
+    "## 2) Define the noise model and execute the RB circuits\n",
     "\n",
     "We define a noise model for the simulator. To simulate decay, we add depolarizing error probabilities to the CNOT and U gates."
    ]
@@ -340,7 +350,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Fit the results\n",
+    "## 3) Fit the results\n",
     "\n",
     "We fit the results of the non-Clifford CNOT-Dihedral Z RB circuits and the non-Clifford CNOT-Dihedral X RB circuits into an exponentially decaying function and obtain the Errors per group element $\\alpha_Z$ and $\\alpha_R$ of the Z and X sequences respectively."
    ]
@@ -573,7 +583,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Generating interleaved non-Clifford cnot-dihedral sequences\n",
+    "## 4.1) Generating interleaved non-Clifford cnot-dihedral sequences\n",
     "\n",
     "We provide the same parameters as before including a list of interleaved gated.\n",
     "\n",
@@ -815,7 +825,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Generating purity non-Clifford cnot-dihedral sequences\n",
+    "## 4.2) Generating purity non-Clifford cnot-dihedral sequences\n",
     "\n",
     "We provide the same parameters as before and the following parameter for purity rb.\n",
     "\n",
@@ -889,6 +899,43 @@
    "source": [
     "print (rb_cnotdihedral_Z_circs[0][8][0])"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>0.15.0</td></tr><tr><td>Terra</td><td>0.12.0</td></tr><tr><td>Aer</td><td>0.4.0</td></tr><tr><td>Ignis</td><td>0.2.0</td></tr><tr><td>Aqua</td><td>0.6.4</td></tr><tr><td>IBM Q Provider</td><td>0.4.6</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.6.9 |Anaconda, Inc.| (default, Jul 30 2019, 19:07:31) \n",
+       "[GCC 7.3.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>62.920127868652344</td></tr><tr><td colspan='2'>Wed Feb 19 09:42:39 2020 IST</td></tr></table>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2020.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import qiskit.tools.jupyter\n",
+    "%qiskit_version_table\n",
+    "%qiskit_copyright"
+   ]
   }
  ],
  "metadata": {