Fix and re-run your-first-quantum-circuit with J=-1

learning/courses/use-a-qc-today/your-first-quantum-experiment.ipynb

@@ -24,7 +24,7 @@
     "## Introduction\n",
     "\n",
     "In the following video, Olivia Lanes steps you through the content in this lesson. Alternatively, you can open the [YouTube video](https://youtu.be/kniiVC538nY?si=13OJnaO5jyAUmoPQ) for this lesson in a separate window.\n",
-   "\n",
+    "\n",
     "<IBMVideo id=\"134786191\" title=\"In this video Olivia walks you through finding the energy of a two-qubit Ising Hamiltonian using the Estimator primitive in Qiskit.\"/>\n",
     "\n",
     "By now, you've run your first quantum circuit and learned the basics of quantum computing: how quantum states are represented, how gates act on those states, and how quantum features like superposition and entanglement are involved. Now it's time to put all of this into practice and solve your first problem on a quantum computer.\n",
@@ -163,7 +163,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "ibm_fez\n"
+      "ibm_marrakesh\n"
      ]
     }
    ],
@@ -306,7 +306,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "counts =  {'10': 49, '01': 50, '11': 1}\n"
+      "counts =  {'01': 53, '10': 44, '00': 2, '11': 1}\n"
      ]
     },
     {
@@ -365,7 +365,7 @@
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x1387ed630>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x22cb29c6950>"
       ]
      },
      "execution_count": 8,
@@ -378,7 +378,7 @@
     "from qiskit.quantum_info import SparsePauliOp\n",
     "\n",
     "# Parameters\n",
-    "J = 1.0  # antiferromagnetic coupling (J<0)\n",
+    "J = -1.0  # antiferromagnetic coupling (J<0)\n",
     "hx = -0.5  # transverse field strength\n",
     "\n",
     "# 1. Define the Hamiltonian H = J Z1 Z2 + hx (X1 + X2)\n",
@@ -459,7 +459,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 11,
    "id": "dca4c4e1-38a1-47da-a4ad-a63eec2d2ce6",
    "metadata": {},
    "outputs": [],
@@ -478,7 +478,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 12,
    "id": "dddea745-57d3-4c5b-9ccc-897649a298c2",
    "metadata": {},
    "outputs": [],
@@ -504,15 +504,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 13,
    "id": "40b8d3f8-cd80-40c7-8e01-56c40b713caf",
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "-0.9934112021453058\n"
+      "0.9871078495244698\n"
      ]
     }
    ],