Merge branch 'master' of github.com:SexyCarrots/tensorcircuit-dev into pr34

Author: refraction-ray

docs/source/tutorials/vqe_h2o.ipynb

@@ -5,7 +5,7 @@
    "id": "4009fbd4",
    "metadata": {},
    "source": [
-    "# Variational Quantum Eigensolver (VQE) on molecules"
+    "# Variational Quantum Eigensolver (VQE) on Molecules"
    ]
   },
   {
@@ -181,7 +181,7 @@
    "id": "f9c6c84e",
    "metadata": {},
    "source": [
-    "We can use binary code to save two further qubits, as the number of spin up and spin down filling is both 5 (5/odd electrons in 7 obitals)"
+    "We can use binary code to save two further qubits, as the number of spin up and spin down filling is both 5 (5/odd electrons in 7 orbitals)"
    ]
   },
   {
@@ -222,15 +222,15 @@
     }
    ],
    "source": [
-    "print(b.terms[((0, \"Z\"),)])  # coefficient of Z_0 Paulistring"
+    "print(b.terms[((0, \"Z\"),)])  # coefficient of Z_0 Pauli-string"
    ]
   },
   {
    "cell_type": "markdown",
    "id": "4ecd89c0",
    "metadata": {},
    "source": [
-    "* Transform the qubit Hamiltoian in openfermion to the format in tensorcircuit"
+    "* Transform the qubit Hamiltonian in openfermion to the format in TensorCircuit"
    ]
   },
   {
@@ -287,7 +287,7 @@
    "id": "7b43d5c1",
    "metadata": {},
    "source": [
-    "The corrsponding Hartree Fock product state in these two types of Hamiltonians"
+    "The corresponding Hartree Fock product state in these two types of Hamiltonian"
    ]
   },
   {
@@ -337,9 +337,9 @@
    "id": "994d944b",
    "metadata": {},
    "source": [
-    "## VQE setup\n",
+    "## VQE Setup\n",
     "\n",
-    "We can in princinple evaluate each Pauli string of the Hamiltonian as an expectation measurment, but it costs lots of simulation time, instead we fuse them together as a Hamiltonian matrix as shown above to run the VQE."
+    "We can in principle evaluate each Pauli string of the Hamiltonian as an expectation measurement, but it costs lots of simulation time, instead we fuse them as a Hamiltonian matrix as shown above to run the VQE."
    ]
   },
   {
@@ -439,7 +439,7 @@
    "id": "d8847fe3",
    "metadata": {},
    "source": [
-    "A micro-benchmark between sparse matrix evaluation and dense matrix evaluation for expectation in terms of time, sparse always win in terms of space, of course."
+    "A micro-benchmark between sparse matrix evaluation and dense matrix evaluation for expectation in terms of time, sparse always wins in terms of space, of course."
    ]
   },
   {
@@ -525,7 +525,7 @@
    "id": "3eafaa67",
    "metadata": {},
    "source": [
-    "Therefore, sparse matrix evaluation also saves time apart from space, which is always recommeded."
+    "Therefore, sparse matrix evaluation also saves time apart from space, which is always recommended."
    ]
   }
  ],
@@ -550,4 +550,4 @@
  },
  "nbformat": 4,
  "nbformat_minor": 5
-}
+}