[BUG] `qml.prod` incompatible with some `grouping` functionality (likely due to order of ops passed to `qml.prod`)

[antalszava]

Expected behavior

qml.prod works with qml.grouping.utils.are_pauli_words_qwc.

Actual behavior

Incorrect behaviour. Swapping the order of two ops passed to qml.prod changes to correct behaviour (perhaps due to the wire ordering changing).

Additional information

No response

Source code

o1 = qml.PauliZ(1)
o2 = qml.prod(*[qml.PauliZ(1), qml.Identity(0)])
print(qml.grouping.utils.are_pauli_words_qwc([o1, o2]))

o1 = qml.PauliZ(1)
o2 = qml.operation.Tensor(*[qml.PauliZ(1), qml.Identity(0)])
print(qml.grouping.utils.are_pauli_words_qwc([o1, o2]))

False
True

Tracebacks

No response

System information

PL dev

Existing GitHub issues

• [X] I have searched existing GitHub issues to make sure the issue does not already exist.

[antalszava]

Doing

o1 = qml.PauliZ(1)
o2 = qml.prod(*[qml.Identity(0), qml.PauliZ(1)])
print(qml.grouping.utils.are_pauli_words_qwc([o1, o2]))

instead of

o1 = qml.PauliZ(1)
o2 = qml.prod(*[qml.PauliZ(1), qml.Identity(0)])
print(qml.grouping.utils.are_pauli_words_qwc([o1, o2]))

Outputs True (as expected).

[timmysilv]

this will be addressed by the Pauli Word rework

[albi3ro]

Hasn't been addressed by the Pauli word rework, since we haven't gone back and updated the utilities. We will now re-prioritize this issue.