Shuli's comments

README.rst

@@ -47,7 +47,7 @@ Features
 PennyLane-Lightning high performance simulators include the following backends:
 
 * ``lightning.qubit``: a fast state-vector simulator written in C++.
-* ``lightning.gpu``: a state-vector simulator based on the `NVIDIA cuQuantum SDK <https://developer.nvidia.com/cuquantum-sdk>`_. It notably implements a distributed state-vector simulator based on MPI.
+* ``lightning.gpu``: a state-vector simulator based on the `NVIDIA cuQuantum SDK <https://developer.nvidia.com/cuquantum-sdk>`_. It notably implements a distributed state-vector simulator based on `MPI <https://www.mpi-forum.org/docs/>`_.
 * ``lightning.kokkos``: a state-vector simulator written with `Kokkos <https://kokkos.github.io/kokkos-core-wiki/index.html>`_. It can exploit the inherent parallelism of modern processing units supporting the `OpenMP <https://www.openmp.org/>`_, `CUDA <https://developer.nvidia.com/cuda-toolkit>`_ or `HIP <https://rocm.docs.amd.com/projects/HIP/en/latest/>`_ programming models.
 * ``lightning.tensor``: a tensor network simulator based on the `NVIDIA cuQuantum SDK <https://developer.nvidia.com/cuquantum-sdk>`_ (requires NVIDIA GPUs with SM 7.0 or greater). The supported methods are Matrix Product State (MPS) and Exact Tensor Network (ExactTN).
 
@@ -258,9 +258,9 @@ Install Lightning-GPU with MPI
 
 .. note::
 
-    - **Lightning-Qubit**, ``CUDA-aware MPI`` **and** ``custatevec`` **are installed**.
-    - **The environment variable** ``CUQUANTUM_SDK`` **is set properly**.
-    - ``path/to/libmpi.so`` **is added to** ``LD_LIBRARY_PATH``.
+    - Lightning-Qubit, ``CUDA-aware MPI`` and ``custatevec`` are installed.
+    - The environment variable ``CUQUANTUM_SDK`` is set properly.
+    - ``path/to/libmpi.so`` is added to ``LD_LIBRARY_PATH``.
 
 Then Lightning-GPU with MPI support can be installed in the *editable* mode:
 
@@ -283,11 +283,7 @@ The C++ code can be tested with:
 
 .. code-block:: bash
 
-    rm -rf ./BuildTests
-    cmake . -BBuildTests -DBUILD_TESTS=1 -DBUILD_TESTS=1 -DENABLE_MPI=ON -DCUQUANTUM_SDK=<path to sdk>
-    cmake --build ./BuildTests --verbose
-    cd ./BuildTests
-    for file in *runner_mpi ; do mpirun -np 2 ./BuildTests/$file ; done;
+    PL_BACKEND="lightning_gpu" make test-cpp-mpi
 
 .. installation_LGPU-end-inclusion-marker-do-not-remove
 
@@ -316,12 +312,12 @@ Install Kokkos (Optional)
 We suggest first installing Kokkos with the wanted configuration following the instructions found in the `Kokkos documentation <https://kokkos.github.io/kokkos-core-wiki/building.html>`_.
 For example, the following will build Kokkos for NVIDIA A100 cards
 
-Download the `Kokkos code <https://github.com/kokkos/kokkos/releases>`_. Lightning Kokkos was tested with Kokkos version <= 4.5.0
+Download the `Kokkos code <https://github.com/kokkos/kokkos/releases>`_. Lightning-Kokkos was tested with Kokkos version <= 4.5.0
 
 .. code-block:: bash
 
     # Replace x, y, and z by the correct version
-    wget https://github.com/kokkos/kokkos/archive/refs/tags/4.x.yz.tar.gz
+    wget https://github.com/kokkos/kokkos/archive/refs/tags/4.x.y.z.tar.gz
     tar -xvf 4.x.y.z.tar.gz
     cd kokkos-4.x.y.z
 
@@ -345,7 +341,7 @@ Build Kokkos for NVIDIA A100 cards (``SM80`` architecture), and append the insta
     export CMAKE_PREFIX_PATH=/opt/kokkos/4.x.y.z/AMPERE80:$CMAKE_PREFIX_PATH
 
 
-Note that the C++20 standard is required (enabled via the ``-DCMAKE_CXX_STANDARD=20`` option), hence CUDA v12 is required for the CUDA backend.
+Note that the C++20 standard is required (enabled via the ``-DCMAKE_CXX_STANDARD=20`` option), hence CUDA 12 is required for the CUDA backend.
 
 Install Lightning-Kokkos
 ^^^^^^^^^^^^^^^^^^^^^^^^

doc/lightning_gpu/device.rst

@@ -282,4 +282,4 @@ To enable the memory-optimized adjoint method with MPI support, ``batch_obs`` sh
 For the adjoint method, each MPI process will provide the overall simulation results.
 
 .. note::
-    The observable ``Projector``` does not have support with the multi-GPU backend.
+    The observable ``Projector`` does not have support with the multi-GPU backend.

doc/lightning_tensor/device.rst

@@ -65,7 +65,7 @@ Note that ``lightning.tensor`` cannot be cleaned up like other state-vector devi
 Operations and observables support
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-The ``lightning.tensor`` supports all gate operations supported by PennyLane, with the exception of :class:`~pennylane.StatePrep`, which is *not supported* by the *Exact Tensor Network* method. 
+The ``lightning.tensor`` supports all gate operations supported by PennyLane, with the exception of :class:`~pennylane.StatePrep`, which is **not supported** by the **Exact Tensor Network** method. 
 
 **Supported operations:**