Update vqex_mbl.ipynb

Author: SexyCarrots

docs/source/tutorials/vqex_mbl.ipynb

@@ -5,7 +5,7 @@
    "id": "e031ea97-c3ad-4dba-86c3-da987bc74bac",
    "metadata": {},
    "source": [
-    "# Probing many-body localization by excited-state VQE"
+    "# Probing Many-body Localization by Excited-state VQE"
    ]
   },
   {
@@ -80,7 +80,7 @@
    "id": "db362fa3",
    "metadata": {},
    "source": [
-    "Note: The implementation in this tutorial is fixed to ``TensorFlow`` backend. One can use APIs of ``TensorCircuit`` and APIs of ``TensorFlow`` seamlessly and freely, and the automatic differential and the JIT compilation will not be influenced."
+    "Note: The implementation in this tutorial is fixed to the ``TensorFlow`` backend. One can use the APIs of ``TensorCircuit`` and the APIs of ``TensorFlow`` seamlessly and freely, and the automatic differential and the JIT compilation will not be influenced."
    ]
   },
   {
@@ -253,7 +253,7 @@
    "id": "36480148-94e8-4c0b-bcda-c2f7cee66dad",
    "metadata": {},
    "source": [
-    "### Loss function"
+    "### Loss Function"
    ]
   },
   {
@@ -291,7 +291,7 @@
    "id": "ab0df5f7-9ea1-4ab1-ac29-e1a3de08ecc6",
    "metadata": {},
    "source": [
-    "### Eigenstate witness"
+    "### Eigenstate Witness"
    ]
   },
   {
@@ -418,7 +418,7 @@
    "id": "3e04d8c8-96b2-46f5-b05d-21c457aa7553",
    "metadata": {},
    "source": [
-    "## Research project"
+    "## Research Project"
    ]
   },
   {
@@ -451,4 +451,4 @@
  },
  "nbformat": 4,
  "nbformat_minor": 5
-}
+}