Update error detection tutorial to conform to new template

docs/tutorials/ghz-spacetime-codes.ipynb

@@ -17,7 +17,13 @@
     "\n",
     "*Usage estimate: 10 seconds on a Heron r3 processor (NOTE: This is an estimate only. Your runtime might vary.)*\n",
     "\n",
-    "## Introduction\n",
+    "## Learning outcomes\n",
+    "\n",
+    "After going through this tutorial, users should understand:\n",
+    "- Basics of setting up an error detection technique using spacetime codes\n",
+    "- How to set up a high-fidelity GHZ state on hardware using error detection\n",
+    "\n",
+    "## Background\n",
     "\n",
     "[Low-overhead error detection with spacetime codes](https://arxiv.org/abs/2504.15725) [[1]](#references) by Simon Martiel and Ali Javadi-Abhari proposes synthesizing low-weight, connectivity-aware spacetime checks for Clifford-dominated circuits, then post-selecting on those checks to catch faults with far less overhead than full error correction and fewer shots than standard error mitigation.\n",
     "\n",
@@ -35,8 +41,8 @@
    "id": "fce0de6c",
    "metadata": {},
    "source": [
-    "### Requirements\n",
-    "Before starting this tutorial, ensure that you have the following installed:\n",
+    "## Requirements\n",
+    "Before starting this tutorial, be sure you have the following installed:\n",
     "\n",
     "- Qiskit SDK v2.0 or later, with [visualization](/docs/api/qiskit/visualization) support\n",
     "- Qiskit Runtime v0.40 or later (`pip install qiskit-ibm-runtime`)\n",
@@ -51,7 +57,7 @@
    "id": "4286334d",
    "metadata": {},
    "source": [
-    "### Setup"
+    "## Setup"
    ]
   },
   {
@@ -107,7 +113,7 @@
    "id": "3888d8aa",
    "metadata": {},
    "source": [
-    "## First example"
+    "## Small-scale simulator example"
    ]
   },
   {
@@ -523,7 +529,7 @@
    "id": "7027e13d",
    "metadata": {},
    "source": [
-    "## Real-world example: Prepare a GHZ state on real hardware"
+    "## Large-scale hardware example: Prepare a GHZ state on real hardware"
    ]
   },
   {
@@ -1786,9 +1792,10 @@
    "id": "5423c559",
    "metadata": {},
    "source": [
-    "## Discussion\n",
-    "\n",
-    "In this tutorial, we showed how to implement a low-overhead error detection technique using spacetime codes, and demonstrated its real-world application to preparing GHZ states on hardware. Refer to [[3]](https://arxiv.org/abs/2510.09520) to further explore technical details of GHZ state preparation. In addition to error detection, authors utilize readout error mitigation with M3 and TREX and perform temporary uncomputation techniques to prepare high-fidelity GHZ states."
+    "## Next steps\n",
+    "If you found this work interesting, you might be interested in the following material:\n",
+    "- [[3]](https://arxiv.org/abs/2510.09520) to further explore technical details of GHZ state preparation. In addition to error detection, authors utilize readout error mitigation with M3 and TREX and perform temporary uncomputation techniques to prepare high-fidelity GHZ states.\n",
+    "- Tutorial on [repetition codes](https://quantum.cloud.ibm.com/docs/en/tutorials/repetition-codes)."
    ]
   },
   {
@@ -1799,11 +1806,12 @@
     "### References\n",
     "- [1] Martiel, S., & Javadi-Abhari, A. (2025). Low-overhead error detection with spacetime codes. *arXiv preprint arXiv:2504.15725.*\n",
     "- [2] van den Berg, E., Bravyi, S., Gambetta, J. M., Jurcevic, P., Maslov, D., & Temme, K. (2023). Single-shot error mitigation by coherent Pauli checks. *Physical Review Research*, 5(3), 033193.\n",
-    "- [3] Javadi-Abhari, A., Martiel, S., Seif, A., Takita, M., & Wei, K. X. (2025). Big cats: entanglement in 120 qubits and beyond. arXiv preprint arXiv:2510.09520."
+    "- [3] Javadi-Abhari, A., Martiel, S., Seif, A., Takita, M., & Wei, K. X. (2025). Big cats: entanglement in 120 qubits and beyond. *arXiv preprint arXiv:2510.09520*."
    ]
   }
  ],
  "metadata": {
+  "description": "Experiment with error detection on a small-scale random Clifford circuit, then walk through the task of GHZ state preparation.",
   "kernelspec": {
    "display_name": "Python 3",
    "language": "python",
@@ -1820,7 +1828,8 @@
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
    "version": "3"
-  }
+  },
+  "title": "Low-overhead error detection with spacetime codes"
  },
  "nbformat": 4,
  "nbformat_minor": 5