[Unified compiler] [FTQC] Add an outline state evolution pass (#8367)

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------------------------------------------------------------------------------------------------------------

**Context:**

[sc-96060] This PR is a mirror of Catalyst
[PR](PennyLaneAI/catalyst#2063) .

**Description of the Change:**

**Benefits:**

**Possible Drawbacks:**

**Related GitHub Issues:**

---------

Co-authored-by: Hong-Sheng Zheng <[email protected]>
Co-authored-by: Joey Carter <[email protected]>
Co-authored-by: Mudit Pandey <[email protected]>

Author: 4 people

doc/releases/changelog-dev.md

@@ -167,6 +167,10 @@
   circuit. A clear error is now also raised when there are observables with overlapping wires.
   [(#8383)](https://github.com/PennyLaneAI/pennylane/pull/8383)
 
+* Add an `outline_state_evolution_pass` pass to the MBQC xDSL transform, which moves all 
+  quantum gate operations to a private callable.
+  [(#8367)](https://github.com/PennyLaneAI/pennylane/pull/8367)
+
 * The experimental xDSL implementation of `measurements_from_samples_pass` has been updated to support `shots` defined by an `arith.constant` operation.
   [(#8460)](https://github.com/PennyLaneAI/pennylane/pull/8460)
 
@@ -222,3 +226,4 @@ Mudit Pandey,
 Shuli Shu,
 Jay Soni,
 David Wierichs,
+Hongsheng Zheng

pennylane/compiler/python_compiler/transforms/__init__.py

@@ -18,6 +18,8 @@
     ConvertToMBQCFormalismPass,
     decompose_graph_state_pass,
     DecomposeGraphStatePass,
+    outline_state_evolution_pass,
+    OutlineStateEvolutionPass,
     null_decompose_graph_state_pass,
     NullDecomposeGraphStatePass,
 )
@@ -53,6 +55,8 @@
     "ConvertToMBQCFormalismPass",
     "decompose_graph_state_pass",
     "DecomposeGraphStatePass",
+    "OutlineStateEvolutionPass",
+    "outline_state_evolution_pass",
     "null_decompose_graph_state_pass",
     "NullDecomposeGraphStatePass",
 ]

pennylane/compiler/python_compiler/transforms/mbqc/__init__.py

@@ -29,13 +29,16 @@
     generate_adj_matrix,
 )
 
+from .outline_state_evolution import OutlineStateEvolutionPass, outline_state_evolution_pass
 
 __all__ = [
     # Passes
     "ConvertToMBQCFormalismPass",
     "DecomposeGraphStatePass",
+    "OutlineStateEvolutionPass",
     "NullDecomposeGraphStatePass",
     "null_decompose_graph_state_pass",
+    "outline_state_evolution_pass",
     # Utils
     "get_num_aux_wires",
     "decompose_graph_state_pass",