Implement a CollectResourceOps for the new decomposition system.

[astralcai]

Context:

For the new decomposition system, we want an interpreter that does a first pass analysis of the circuit and collect all operator types (CompressedResourceOp) that potentially need to be decomposed. It is essentially the same as CollectOpsandMeas, except that it:

• Explores every branch of a cond_prim because operators in all branches may need to be decomposed.
• Returns a set of CompressedResourceOp rather than a list of Operator.

Description of the Change:

Benefits:

Possible Drawbacks:

Related GitHub Issues:

[sc-87632]

[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 (c6fb5ed) to head (392c1fd).
Report is 346 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #7184   +/-   ##
=======================================
  Coverage   99.64%   99.64%           
=======================================
  Files         510      511    +1     
  Lines       49714    49770   +56     
=======================================
+ Hits        49538    49594   +56     
  Misses        176      176           

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.

[JerryChen97]

Thanks for the great work! The current implementation is in excellent shape, with clear structure and strong maintainability. Given the complexity of the new decomposition system, we won’t identify every potential issue at this stage. We’ll discover and address the next steps as we gain more practical experience with it.

[mudit2812]

Implementation looks great! Just left some comments about testing.