Remove incorrect note from CR docstring (#118)

* Remove incorrect note from CR docstring

* Update tutorial 1

docs/tutorials/01_chemistry_hamiltonian.ipynb

@@ -409,7 +409,7 @@
     "for i in range(iterations):\n",
     "    print(f\"Starting configuration recovery iteration {i}\")\n",
     "    # On the first iteration, we have no orbital occupancy information from the\n",
-    "    # solver, so we just post-select from the full bitstring set based on hamming weight.\n",
+    "    # solver, so we begin with the full set of noisy configurations.\n",
     "    if occupancies_bitwise is None:\n",
     "        bs_mat_tmp = bitstring_matrix_full\n",
     "        probs_arr_tmp = probs_arr_full\n",
@@ -425,7 +425,8 @@
     "            rand_seed=rng,\n",
     "        )\n",
     "\n",
-    "    # Throw out configurations with incorrect particle number in either the spin-up or spin-down systems\n",
+    "    # Create batches of subsamples. We post-select here to remove configurations\n",
+    "    # with incorrect hamming weight during iteration 0, since no config recovery was performed.\n",
     "    batches = postselect_and_subsample(\n",
     "        bs_mat_tmp,\n",
     "        probs_arr_tmp,\n",

qiskit_addon_sqd/configuration_recovery.py

@@ -68,11 +68,6 @@ def recover_configurations(
         corresponding to the spin-up orbital in bit ``i + N`` where ``N`` is the number of
         spatial orbitals and ``i < N``.
 
-    .. note::
-
-        The output configurations may not necessarily have correct hamming weight, as each bit
-        is flipped in isolation from the other bits in the bitstring.
-
     Args:
         bitstring_matrix: A 2D array of ``bool`` representations of bit
             values such that each row represents a single bitstring