add noisy results

[assafb]

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One or more of the following people are relevant to this code:

• @GilQedma
• @abbycross
• @assafb
• @avieli
• @eranfuchs
• @johannesgreiner
• @kaelynj
• @pandasa123

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[Eric-Arellano]

Hey @assafb, thanks! This looks good. There are some formatting issues that can be fixed by either running ./fix in the repository or by applying this Git diff:

diff --git a/docs/guides/qedma-qesem.ipynb b/docs/guides/qedma-qesem.ipynb
index e00aa40984..ccb9587bdb 100644
--- a/docs/guides/qedma-qesem.ipynb
+++ b/docs/guides/qedma-qesem.ipynb
@@ -167,12 +167,12 @@
     ")\n",
     "\n",
     "job = qesem_function.run(\n",
-    "    pubs = [(circ, [avg_magnetization, other_observable])],\n",
-    "    options =  {\n",
+    "    pubs=[(circ, [avg_magnetization, other_observable])],\n",
+    "    options={\n",
     "        \"estimate_time_only\": \"analytical\",\n",
     "    },\n",
-    "    instance = instance,\n",
-    "    backend_name = backend_name,  # E.g. \"ibm_brisbane\"\n",
+    "    instance=instance,\n",
+    "    backend_name=backend_name,  # E.g. \"ibm_brisbane\"\n",
     ")"
    ]
   },
@@ -192,9 +192,9 @@
    "outputs": [],
    "source": [
     "job = qesem_function.run(\n",
-    "    pubs = [(circ, [avg_magnetization, other_observable])],\n",
-    "    instance = instance,\n",
-    "    backend_name = backend_name,  # E.g. \"ibm_brisbane\"\n",
+    "    pubs=[(circ, [avg_magnetization, other_observable])],\n",
+    "    instance=instance,\n",
+    "    backend_name=backend_name,  # E.g. \"ibm_brisbane\"\n",
     ")"
    ]
   },
@@ -328,7 +328,9 @@
     }
    ],
    "source": [
-    "print(f\"The estimated QPU time for this PUB is: \\n{result[0].metadata['time_estimation_sec']}\")"
+    "print(\n",
+    "    f\"The estimated QPU time for this PUB is: \\n{result[0].metadata['time_estimation_sec']}\"\n",
+    ")"
    ]
   },
   {
@@ -363,9 +365,11 @@
    ],
    "source": [
     "print(f\"The result of the submitted job had {len(result)} PUB\")\n",
-    "print(f\"The expectation values measured from this PUB are: \\n{result[0].data.evs}\")\n",
+    "print(\n",
+    "    f\"The expectation values measured from this PUB are: \\n{result[0].data.evs}\"\n",
+    ")\n",
     "print(f\"The error-bar values are: \\n{result[0].data.stds}\")\n",
-    "noisy_results = result[0].metadata['noisy_results']\n",
+    "noisy_results = result[0].metadata[\"noisy_results\"]\n",
     "print(f\"Noisy expectation values: \\n{noisy_results.evs}\")\n",
     "print(f\"Noisy error-bar: \\n{noisy_results.stds}\")"
    ]
@@ -445,7 +449,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.11"
+   "version": "3"
   },
   "title": "QESEM - A Qiskit Function by Qedma"
  },

[ElePT]

These changes look good to me too, provided that the formatting suggestion is applied, thanks! We might want to do a more general functions documentation content review in a follow-up, but I think it's best to merge this PR first.

[ElePT]

LGTM, thank you!