Update tutorials

README.md

@@ -47,7 +47,7 @@ For more installation information refer to these [installation instructions](doc
 
 ### Computational requirements
 
-The computational cost of SQD is dominated by the eigenstate solver calls. At each step of the self-consistent configuration recovery iteration, `n_batches` of eigenstate solver calls are performed. The different calls are embarrassingly parallel. In this [tutorial](docs/tutorials/01_getting_started_fermionic.ipynb), those calls are inside a `for` loop. **It is highly recommended to perform these calls in parallel**.
+The computational cost of SQD is dominated by the eigenstate solver calls. At each step of the self-consistent configuration recovery iteration, `n_batches` of eigenstate solver calls are performed. The different calls are embarrassingly parallel. In this [tutorial](docs/tutorials/01_chemistry_hamiltonian.ipynb), those calls are inside a `for` loop. **It is highly recommended to perform these calls in parallel**.
 
 The [`qiskit_addon_sqd.fermion.solve_fermion()`](qiskit_addon_sqd/fermion.py) function is multithreaded and capable of handling systems with ~25 spacial orbitals and ~10 electrons with subspace dimensions of ~$10^7$, using ~10-30 cores.
 

docs/index.rst

@@ -32,7 +32,7 @@ For more installation information refer to the `installation instructions <insta
 System sizes and computational requirements
 -------------------------------------------
 
-The computational cost of SQD is dominated by the eigenstate solver calls. At each step of the self-consistent configuration recovery iteration, `n_batches` of eigenstate solver calls are performed. The different calls are embarrassingly parallel. In this `tutorial <tutorials/01_getting_started_fermionic.ipynb>`_, those calls are inside a `for` loop. **It is highly recommended to perform these calls in parallel**.
+The computational cost of SQD is dominated by the eigenstate solver calls. At each step of the self-consistent configuration recovery iteration, `n_batches` of eigenstate solver calls are performed. The different calls are embarrassingly parallel. In this `tutorial <tutorials/01_chemistry_hamiltonian.ipynb>`_, those calls are inside a `for` loop. **It is highly recommended to perform these calls in parallel**.
 
 The :func:`qiskit_addon_sqd.fermion.solve_fermion` function is multithreaded and capable of handling systems with ~25 spacial orbitals and ~10 electrons with subspace dimensions of ~$10^7$, using ~10-30 cores.
 

docs/tutorials/01_getting_started_fermionic.ipynb → docs/tutorials/01_chemistry_hamiltonian.ipynb

@@ -13,11 +13,11 @@
     "\n",
     "1. **Step 1: Map to quantum problem**\n",
     "    - Generate an ansatz for estimating the ground state\n",
-    "2. **Optimize the problem**\n",
+    "2. **Step 2: Optimize the problem**\n",
     "    - Transpile the ansatz for the backend\n",
-    "3. **Execute**\n",
+    "3. **Step 3: Execute experiments**\n",
     "    - Draw samples from the ansatz using the ``Sampler`` primitive\n",
-    "4. **Reconstruct results**\n",
+    "4. **Step 4: Post-process results**\n",
     "   - Self-consistent configuration recovery loop\n",
     "       - Post-process the full set of bitstring samples, using prior knowledge of particle number and the most updated orbital occupancy information obtained from the ground state approximations at each iteration.\n",
     "       - Probabilistically create batches of subsamples from recovered bitstrings.\n",
@@ -190,7 +190,7 @@
    "id": "db11bf6d",
    "metadata": {},
    "source": [
-    "### Step 2: Optimize for target hardware"
+    "### Step 2: Optimize the problem"
    ]
   },
   {
@@ -236,8 +236,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7422, 'sx': 6021, 'ecr': 2240, 'x': 322, 'measure': 32, 'barrier': 1})\n",
-      "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4162, 'sx': 3190, 'ecr': 1262, 'x': 209, 'measure': 32, 'barrier': 1})\n"
+      "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7405, 'sx': 6014, 'ecr': 2232, 'x': 315, 'measure': 32, 'barrier': 1})\n",
+      "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4163, 'sx': 3189, 'ecr': 1262, 'x': 208, 'measure': 32, 'barrier': 1})\n"
      ]
     }
    ],
@@ -268,7 +268,7 @@
    "id": "0cc1edef",
    "metadata": {},
    "source": [
-    "### Step 3: Execute the experiments"
+    "### Step 3: Execute experiments"
    ]
   },
   {
@@ -307,7 +307,7 @@
    "id": "6df05b6e",
    "metadata": {},
    "source": [
-    "## Step 4: Reconstruct results"
+    "## Step 4: Post-process results"
    ]
   },
   {