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Support differentiability through Torch tensors (#703)
* Defining pulser.math and AbstractArray * POC: Differentiable constant pulse amp Typing is still failing * Fix typing in waveforms * Fix all typing errors in POC * Pass all existing UTs * Pass all UTs without array support * Fix typing * All tests pass with torch installed * Add support for pulser-diff backend (#686) * works with basic features of pulser-diff * Fixed phase attribute setting; removed debugging code; reverted unnecessary changes * Modified register creation code to work with AbstractArray; register coordinates are differentiable with pulser-diff * Fixed type hints * Minor fixes and refactoring * Modified ParamObj code to work with quantum model training in pulser-diff * Minor refactoring; add possibility to ensure 0D AbstractArray is reshaped into 1D * Force array only for scalars * Fix UTs after pulser-diff changes * Avoid using AbstractArrayLike outside of pulser.math * Preserve gradient in EOM mode * Add torch as an optional requirement * Support waveform multiplication with abstract array * Explicitly marking the differentiable parameters * Remove __array_wrap__ * Pass relevant UTs without array support * Support new features * Using pm.Differentiable whenever possible * Simplifying Waveform.__getitem__() type hint * UTs for new features outside of pulser.math * Write torch UTs for registers * Write UTs for waveforms * UTs for pulse * UTs for EOM * UTs on internal functionality * UTs for Sequence with autograd * Implicitly cover math functions * Removing AbstractArray.__hash__() and differentiable phase shifts * Finish unit tests * Update CI to run tests with and without torch * Fix CI errors * Fix failing no-torch UT * Minor corrections * Include pulser[torch] installation in the README * Fix warning in UT after merge * Incorporating the latest changes * Fix typing * Addressing review comments * Including `detach()` in Differentiable protocol * Differentiable -> TensorLike * Tentatively allow waveform division by array * Full coverage --------- Co-authored-by: Vytautas Abramavicius <145791635+vytautas-a@users.noreply.github.com>
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