Update week4.ipynb

Author: mhjensen

doc/pub/week4/ipynb/week4.ipynb

@@ -2854,9 +2854,20 @@
    "id": "963b02a3",
    "metadata": {
     "collapsed": false,
-    "editable": true
-   },
-   "outputs": [],
+    "editable": true,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.9801960972814431\n"
+     ]
+    }
+   ],
    "source": [
     "%matplotlib inline\n",
     "\n",
@@ -2898,9 +2909,20 @@
    "id": "81b90133",
    "metadata": {
     "collapsed": false,
-    "editable": true
-   },
-   "outputs": [],
+    "editable": true,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.9801960972814431\n"
+     ]
+    }
+   ],
    "source": [
     "# Now rewrite it in terms of the identity matrix and the Pauli matrix X and Z\n",
     "X = np.array([[0,1],[1,0]])\n",
@@ -3049,9 +3071,21 @@
    "id": "5d3b3a50",
    "metadata": {
     "collapsed": false,
-    "editable": true
-   },
-   "outputs": [],
+    "editable": true,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[0.67249851+0.21850801j 0.21850801-0.67249851j]\n",
+      "(2-1.187159067031975e-16j)\n"
+     ]
+    }
+   ],
    "source": [
     "# define the rotation matrices\n",
     "# Define angles theta and phi\n",
@@ -3086,9 +3120,20 @@
    "id": "0d06dc1d",
    "metadata": {
     "collapsed": false,
-    "editable": true
-   },
-   "outputs": [],
+    "editable": true,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.01575557799303584\n"
+     ]
+    }
+   ],
    "source": [
     "# define a number of angles\n",
     "n = 20\n",
@@ -3282,7 +3327,25 @@
    ]
   }
  ],
- "metadata": {},
+ "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": "3.9.15"
+  }
+ },
  "nbformat": 4,
  "nbformat_minor": 5
 }