Update qiskit_vqe_onequbitcase.ipynb

Author: mhjensen

doc/src/week5/Programs/qiskit_vqe_onequbitcase.ipynb

@@ -904,70 +904,11 @@
     "plt.tight_layout()\n",
     "plt.show()"
    ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## 12. Conclusion\n",
-    "\n",
-    "This notebook demonstrated:\n",
-    "\n",
-    "### ✓ **Qiskit Implementation**\n",
-    "- SparsePauliOp for Hamiltonian construction\n",
-    "- Parameterized quantum circuits\n",
-    "- Estimator primitive for expectation values\n",
-    "\n",
-    "### ✓ **Multiple Backends**\n",
-    "- Ideal simulator (noiseless)\n",
-    "- Noisy simulator (realistic noise models)\n",
-    "- Real hardware compatibility (IBM Quantum)\n",
-    "\n",
-    "### ✓ **Realistic Quantum Computing**\n",
-    "- Finite measurement shots\n",
-    "- Noise effects\n",
-    "- Error mitigation considerations\n",
-    "\n",
-    "### ✓ **Complete Analysis**\n",
-    "- Pauli decomposition and measurements\n",
-    "- Convergence tracking\n",
-    "- Shot budget analysis\n",
-    "- Comparison with exact results\n",
-    "\n",
-    "### Next Steps:\n",
-    "1. **Run on real hardware**: Use IBM Quantum Experience\n",
-    "2. **Error mitigation**: Implement readout error mitigation, zero-noise extrapolation\n",
-    "3. **Advanced ansätze**: Try different circuit designs\n",
-    "4. **Multi-qubit systems**: Extend to 2+ qubits with entanglement\n",
-    "5. **Adaptive VQE**: Use ADAPT-VQE for automatic circuit construction"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "print(\"\\n\" + \"=\"*70)\n",
-    "print(\"QISKIT VQE NOTEBOOK COMPLETE\")\n",
-    "print(\"=\"*70)\n",
-    "print(\"\\nThis notebook demonstrated:\")\n",
-    "print(\"  ✓ VQE implementation using Qiskit primitives\")\n",
-    "print(\"  ✓ Hamiltonian construction with SparsePauliOp\")\n",
-    "print(\"  ✓ Parameterized quantum circuits\")\n",
-    "print(\"  ✓ Multiple backend support (ideal, noisy, hardware)\")\n",
-    "print(\"  ✓ Realistic noise modeling\")\n",
-    "print(\"  ✓ Shot budget analysis\")\n",
-    "print(\"  ✓ Measurement in different Pauli bases\")\n",
-    "print(\"  ✓ Ready for IBM Quantum hardware!\")\n",
-    "print(\"\\nReady to run on real quantum computers! 🚀\")\n",
-    "print(\"=\"*70)"
-   ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -981,7 +922,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.0"
+   "version": "3.9.15"
   }
  },
  "nbformat": 4,