Update demos to use new opmath

[Qottmann]

Remove explicit qml.operation.Tensor instances, as well as qml.ops.Hamiltonian usage

branching against dev as new opmath will be default only in v0.36 (scheduled for 07. May)

• IMPORTANT change back final cell in tutorial_qubit_tapering when [BUG] Cannot run qnode with sum that contains I() (Identity with empty wires) pennylane#5532 is fixed

[github-actions]

👋 Hey, looks like you've updated some demos!

🐘 Don't forget to update the dateOfLastModification in the associated metadata files so your changes are reflected in Glass Onion (search and recommendations).

Please hide this comment once the field(s) are updated. Thanks!

[github-actions]

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Deployment Info:

• Pull Request ID: 1067
• Deployment SHA: f5fea63ffcd22739115c79d9a7d80437a18c4382
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[vincentmr]

LGTM, cheers @Qottmann .

[Qottmann]

Because deprecation warnings are treated as failures, I just pushed another change removing all occurences of explicit H.ops or H.coeffs calls and replaced them with H_coeffs, H_ops = H.terms().

edit: now with all demos running, there seems to be more work required. I will tag again for review once I fix all of them 👍

[Qottmann]

Currently blocked by PennyLaneAI/pennylane#5475 and PennyLaneAI/pennylane-qulacs#64 to be merged

Any way to skip that demo for the moment to make sure the others pass?

[Qottmann]

[sc-53506]

[Qottmann]

Currently blocked by tutorial_qubit_tapering due to PennyLaneAI/pennylane#5532

Edit: Doing a work-around to not be blocked by this for the moment. Left a Todo in the PR description to change it back once that issue is resolved

[Qottmann]

Just noticed a bug in another demo with the latest updates to pennylane. Should be fixed now 🤞

[vincentmr]

Looks good to me! To be sure, have we checked that all of these still run without error?

[Qottmann]

Looks good to me! To be sure, have we checked that all of these still run without error?

Yes, this PR is in fact building all demos due to the tag