diff --git a/intermediate_source/process_group_cpp_extension_tutorial.rst b/intermediate_source/process_group_cpp_extension_tutorial.rst
index 49173e9a4cf..15eb23bf3ee 100644
--- a/intermediate_source/process_group_cpp_extension_tutorial.rst
+++ b/intermediate_source/process_group_cpp_extension_tutorial.rst
@@ -1,7 +1,7 @@
 Customize Process Group Backends Using Cpp Extensions
 =====================================================
 
-**Author**: `Feng Tian <https://github.com/ftian1>`__, `Shen Li <https://mrshenli.github.io/>`__
+**Author**: `Feng Tian <https://github.com/ftian1>`__, `Shen Li <https://mrshenli.github.io/>`__, `Min Si <https://minsii.github.io/>`__
 
 .. note::
    |edit| View and edit this tutorial in `github <https://github.com/pytorch/tutorials/blob/master/intermediate_source/process_group_cpp_extension_tutorial.rst>`__.
@@ -62,7 +62,7 @@ Step 1: Implement a Subclass of ``ProcessGroup``
 
 This first step is to implement a ``ProcessGroup`` subclass that overrides
 target collective communication APIs and runs the custom communication algorithm.
-The extension also needs to implement a ``ProcessGroup::Work`` subclass, which
+The extension also needs to implement a ``Work`` subclass, which
 serves as a future of communication results and allows asynchronous execution in
 application code. If the extension uses third-party libraries, it can
 include the headers and call into the library APIs from the ``ProcessGroupDummy``
@@ -75,10 +75,11 @@ repository for the full implementation.
     // file name: dummy.hpp
     #include <torch/python.h>
 
-    #include <c10d/ProcessGroup.hpp>
-    #include <c10d/Store.hpp>
-    #include <c10d/Types.hpp>
-    #include <c10d/Utils.hpp>
+    #include <torch/csrc/distributed/c10d/ProcessGroup.hpp>
+    #include <torch/csrc/distributed/c10d/Work.hpp>
+    #include <torch/csrc/distributed/c10d/Store.hpp>
+    #include <torch/csrc/distributed/c10d/Types.hpp>
+    #include <torch/csrc/distributed/c10d/Utils.hpp>
 
     #include <pybind11/chrono.h>
 
@@ -86,38 +87,37 @@ repository for the full implementation.
 
     class ProcessGroupDummy : public ProcessGroup {
       public:
-
-        class WorkDummy : public ProcessGroup::Work {
-          public:
-            WorkDummy(
-                OpType opType,
-                c10::intrusive_ptr<c10::ivalue::Future> future) // future of the output
-                : ProcessGroup::Work(
-                    -1, // rank, only used by recvAnySource, irrelevant in this demo
-                    opType),
-                future_(std::move(future)) {}
-            // There are several additional helper functions that need to be
-            // implemented. Please refer to https://github.com/mrshenli/dummy_collectives
-            // for the full implementation.
-
-          private:
-            c10::intrusive_ptr<c10::ivalue::Future> future_;
-        };
-
         ProcessGroupDummy(int rank, int size);
 
-        c10::intrusive_ptr<ProcessGroup::Work> allgather(
+        c10::intrusive_ptr<Work> allgather(
             std::vector<std::vector<at::Tensor>>& outputTensors,
             std::vector<at::Tensor>& inputTensors,
             const AllgatherOptions& opts = AllgatherOptions()) override;
 
-        c10::intrusive_ptr<ProcessGroup::Work> allreduce(
+        c10::intrusive_ptr<Work> allreduce(
             std::vector<at::Tensor>& tensors,
             const AllreduceOptions& opts = AllreduceOptions()) override;
 
         // The collective communication APIs without a custom implementation
         // will error out if invoked by application code.
     };
+    
+    class WorkDummy : public Work {
+      public:
+        WorkDummy(
+          OpType opType,
+          c10::intrusive_ptr<c10::ivalue::Future> future) // future of the output
+          : Work(
+              -1, // rank, only used by recvAnySource, irrelevant in this demo
+              opType),
+          future_(std::move(future)) {}
+        // There are several additional helper functions that need to be
+        // implemented. Please refer to https://github.com/mrshenli/dummy_collectives
+        // for the full implementation.
+
+      private:
+        c10::intrusive_ptr<c10::ivalue::Future> future_;
+    };
     } // namespace c10d
 
 
@@ -130,7 +130,7 @@ repository for the full implementation.
 
     // This is a dummy allgather that sets all output tensors to zero
     // Modify the implementation to conduct real communication asynchronously
-    c10::intrusive_ptr<ProcessGroup::Work> ProcessGroupDummy::allgather(
+    c10::intrusive_ptr<Work> ProcessGroupDummy::allgather(
             std::vector<std::vector<at::Tensor>>& outputTensors,
             std::vector<at::Tensor>& inputTensors,
             const AllgatherOptions& /* unused */) {
@@ -148,7 +148,7 @@ repository for the full implementation.
 
     // This is a dummy allreduce that sets all output tensors to zero
     // Modify the implementation to conduct real communication asynchronously
-    c10::intrusive_ptr<ProcessGroup::Work> ProcessGroupDummy::allreduce(
+    c10::intrusive_ptr<Work> ProcessGroupDummy::allreduce(
             std::vector<at::Tensor>& tensors,
             const AllreduceOptions& opts) {
         for (auto& tensor : tensors) {
@@ -278,11 +278,11 @@ as if it is an builtin backend.
 
     x = torch.ones(6)
     dist.all_reduce(x)
-    y = x.cuda()
-    dist.all_reduce(y)
-
     print(f"cpu allreduce: {x}")
-    print(f"cuda allreduce: {y}")
+    if torch.cuda.is_available():
+        y = x.cuda()
+        dist.all_reduce(y)
+        print(f"cuda allreduce: {y}")
 
     try:
         dist.broadcast(x, 0)