Analytical Pauli Coefficients

[majafranz]

Do not merge yet!

This PR adds the analytical computation of the Fourier coefficients by the method of Nemkov et al., which was later extended by Wiedmann et al..

The implementation is also inspired by the corresponding code for Nemkov et al.'s paper.

TODOs:

• Implement Pauli-Clifford circuit (Commute all clifford gates to the end, and integrate in the variable.)
• Tree algorithm for sine-cosine sum representation
• Sine-cosine sum to Fourier series
• Fourier series to spectrum and coefficients
• Documentation

[pep8speaks]

Hello @majafranz! Thanks for updating this PR. We checked the lines you've touched for PEP 8 issues, and found:

• In the file qml_essentials/coefficients.py:

Line 56:35: E203 whitespace before ':'
Line 57:44: E203 whitespace before ':'

• In the file qml_essentials/utils.py:

Line 342:28: E261 at least two spaces before inline comment

• In the file tests/test_model.py:

Line 814:89: E501 line too long (164 > 88 characters)

Comment last updated at 2025-01-24 14:38:54 UTC