Quantum Week Tutorial Related Improvements

[KevinMTO]

Description

This PR fixes bugs and code code usability issues along the compilation side of the stack.
New compilation methods have been added for the default selection of compilation flags.

Checklist:

• The pull request only contains commits that are related to it.
• I have added appropriate tests and documentation.
• I have made sure that all CI jobs on GitHub pass.
• The pull request introduces no new warnings and follows the project's style guidelines.

[codecov]

Codecov Report

Attention: Patch coverage is 35.29412% with 88 lines in your changes missing coverage. Please review.

Project coverage is 75.7%. Comparing base (590d98f) to head (e081295).
Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
src/mqt/qudits/simulation/backends/innsbruck_01.py	29.0%	39 Missing ⚠️
src/mqt/qudits/compiler/dit_compiler.py	44.7%	21 Missing ⚠️
...er/twodit/entanglement_qr/phy_ent_qr_cex_decomp.py	13.3%	13 Missing ⚠️
...er/compilation_minitools/naive_unitary_verifier.py	18.1%	9 Missing ⚠️
src/mqt/qudits/quantum_circuit/circuit.py	25.0%	6 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##            main     #53     +/-   ##
=======================================
- Coverage   76.4%   75.7%   -0.7%     
=======================================
  Files        117     118      +1     
  Lines       6123    6242    +119     
  Branches     279     279             
=======================================
+ Hits        4679    4731     +52     
- Misses      1444    1511     +67     

Flag	Coverage Δ		*Carryforward flag
cpp	63.7% <ø> (ø)		Carriedforward from f62929d
python	79.9% <35.2%> (-1.0%)	⬇️

*This pull request uses carry forward flags. Click here to find out more.

Files with missing lines	Coverage Δ
...dits/compiler/naive_local_resynth/local_resynth.py	95.1% <100.0%> (+0.6%)	⬆️
...g_aware_transpilation/phy_local_adaptive_decomp.py	78.0% <ø> (ø)
...er/twodit/entanglement_qr/log_ent_qr_cex_decomp.py	85.4% <100.0%> (ø)
src/mqt/qudits/simulation/backends/__init__.py	100.0% <100.0%> (ø)
src/mqt/qudits/simulation/qudit_provider.py	55.8% <100.0%> (ø)
src/mqt/qudits/quantum_circuit/circuit.py	89.3% <25.0%> (-2.4%)	⬇️
...er/compilation_minitools/naive_unitary_verifier.py	81.3% <18.1%> (-14.5%)	⬇️
...er/twodit/entanglement_qr/phy_ent_qr_cex_decomp.py	25.8% <13.3%> (-5.4%)	⬇️
src/mqt/qudits/compiler/dit_compiler.py	54.8% <44.7%> (-10.3%)	⬇️
src/mqt/qudits/simulation/backends/innsbruck_01.py	29.0% <29.0%> (ø)

... and 1 file with indirect coverage changes