[Capture] JIT entire workflows with default qubit

[albi3ro]

Context:

When messing around with #6596, I realized we weren't able to jit the full workflow even though the device execution itself can still be jitted. I needed to register the mlir lowering to just be the lowering of the implementation function.

Description of the Change:

Benefits:

Possible Drawbacks:

Related GitHub Issues:

[sc-79566]

[github-actions]

Hello. You may have forgotten to update the changelog!
Please edit doc/releases/changelog-dev.md with:

• A one-to-two sentence description of the change. You may include a small working example for new features.
• A link back to this PR.
• Your name (or GitHub username) in the contributors section.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.64%. Comparing base (ce9e5ff) to head (d9480e4).
Report is 2 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #6655   +/-   ##
=======================================
  Coverage   99.64%   99.64%           
=======================================
  Files         467      467           
  Lines       44166    44170    +4     
=======================================
+ Hits        44010    44014    +4     
  Misses        156      156           

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[lillian542]

LGTM!