1D Fermi-Hubbard MPO

[thilomueller]

Description

Implementation of a MPO construction for the one-dimensional Fermi-Hubbard model both in the fermionic space and in the qubit space after applying the Jordan-Wigner transformation.

Checklist:

• The pull request only contains commits that are focused and relevant to this change.
• I have added appropriate tests that cover the new/changed functionality.
• I have updated the documentation to reflect these changes.
• I have added entries to the changelog for any noteworthy additions, changes, fixes, or removals.
• I have added migration instructions to the upgrade guide (if needed).
• The changes follow the project's style guidelines and introduce no new warnings.
• The changes are fully tested and pass the CI checks.
• I have reviewed my own code changes.

[codecov]

Codecov Report

❌ Patch coverage is 98.71795% with 1 line in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
src/mqt/yaqs/core/data_structures/networks.py	98.7%	1 Missing ⚠️

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