fix: update pauli arithmetic to handle abstract coefficients when jitted #8190
  Add this suggestion to a batch that can be applied as a single commit.
  This suggestion is invalid because no changes were made to the code.
  Suggestions cannot be applied while the pull request is closed.
  Suggestions cannot be applied while viewing a subset of changes.
  Only one suggestion per line can be applied in a batch.
  Add this suggestion to a batch that can be applied as a single commit.
  Applying suggestions on deleted lines is not supported.
  You must change the existing code in this line in order to create a valid suggestion.
  Outdated suggestions cannot be applied.
  This suggestion has been applied or marked resolved.
  Suggestions cannot be applied from pending reviews.
  Suggestions cannot be applied on multi-line comments.
  Suggestions cannot be applied while the pull request is queued to merge.
  Suggestion cannot be applied right now. Please check back later.
  
    
  
    
Context:
would fail due to pauli arithmetic not being able to handle these abstract coefficients.
Description of the Change:
Handle the possibility of abstract coefficients.
Benefits:
After testing in Catalyst, PennyLaneAI/catalyst#2023, seems like it should fix this bug and latest/latest/latest.
Possible Drawbacks: None identified.
Fixes #8191
[sc-98660]