[GSoC 2025] Serialising Parameter Sets

[medha-14]

Description

Please include a summary of the change and which issue is fixed. Please also include relevant motivation and context.

Fixes # (issue)

Type of change

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Important checks:

Please confirm the following before marking the PR as ready for review:

• No style issues: nox -s pre-commit
• All tests pass: nox -s tests
• The documentation builds: nox -s doctests
• Code is commented for hard-to-understand areas
• Tests added that prove fix is effective or that feature works

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.82%. Comparing base (4a19a92) to head (bd0b460).

Additional details and impacted files

@@             Coverage Diff             @@
##           develop    #5177      +/-   ##
===========================================
+ Coverage    98.80%   98.82%   +0.02%     
===========================================
  Files          321      321              
  Lines        27395    27491      +96     
===========================================
+ Hits         27068    27169     +101     
+ Misses         327      322       -5     

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