Create a base LKokkos new device API backend.

[LuisAlfredoNu]

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---

Context:
Following the design of Lightning Qubit uses the New Device API end to end, we can now migrate lightning.kokkos device to the new device API.

Description of the Change:
Migration of Lightning Kokkos to integrate the New device API. The list of main features changes are

• Add the state_vector, measurements, and adjoint-jacobian classes for lightning.kokkos
• Add the simulate, jacobian, simulate_and_jacobian, vjp, and simulate_and_vjp methods to lighting.kokkos
• Update unit/integration tests for the new device API to work with lightning.kokkos
• Check the full support for sampling in full parity with Lightning Qubit
• Replace the old device API for Lightning Kokkos.

Benefits:
Full integration of Lightning kokkos with the new device API.

Possible Drawbacks:

Related GitHub Issues:

[sc-59207], [sc-68825]

[codecov]

Codecov Report

Attention: Patch coverage is 26.73267% with 444 lines in your changes missing coverage. Please review.

Project coverage is 74.67%. Comparing base (cc2942e) to head (5561277).
Report is 80 commits behind head on master.

Files with missing lines	Patch %	Lines
...ane_lightning/lightning_kokkos/lightning_kokkos.py	31.57%	130 Missing ⚠️
...nylane_lightning/lightning_kokkos/_measurements.py	20.38%	125 Missing ⚠️
...nylane_lightning/lightning_kokkos/_state_vector.py	28.26%	99 Missing ⚠️
...ne_lightning/lightning_kokkos/_adjoint_jacobian.py	25.00%	90 Missing ⚠️

❗ There is a different number of reports uploaded between BASE (cc2942e) and HEAD (5561277). Click for more details.

HEAD has 32 uploads less than BASE

Flag	BASE (cc2942e)	HEAD (5561277)
	40	8

Additional details and impacted files

@@             Coverage Diff             @@
##           master     #810       +/-   ##
===========================================
- Coverage   97.84%   74.67%   -23.17%     
===========================================
  Files         117       20       -97     
  Lines       18658     2330    -16328     
===========================================
- Hits        18255     1740    -16515     
- Misses        403      590      +187     

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[multiphaseCFD]

Thanks @LuisAlfredoNu ! Would you like to add a new entry to the .github/CHANGELOG.md file, summarizing the
change, and including a link back to the PR?

[vincentmr]

LGTM, thanks @LuisAlfredoNu . Not much to complain about at the moment. I'm adding the label "do not merge" to the PR since the description says this will be merged last. But feel free to add/remove whatever label you would like.

[AmintorDusko]

I made some suggestions. I think it is better if you really keep the implementation here minimal. I think you left a lot of code that will probably need to be changed. Please, comment out all code that is not strictly necessary, and pass all tests.

[AmintorDusko]

Super nice job! Thank you for that, @LuisAlfredoNu!

[maliasadi]

Great work! 🥳 Feel free to merge it after #884.