[BUG] Exercise I.7.2 Relation of X and Y

[maplexgitx0302]

Node number

Exercise I.7.2

Expected behavior

I think the relation should be $Y=SXS^\dagger$, also the decomposition of $U$ should change from $R_x(-\theta)\rightarrow R_x(\theta)$

Actual behavior

Currently is $Y=-SXS^\dagger$

Additional information

No response

Source code

No response

Tracebacks

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

[isaacdevlugt]

Hey @maplexgitx0302, looks like you're right! Here's some code just to show for the paper trail:

>>> mat = np.dot(qml.S.compute_matrix(), np.dot(qml.PauliX.compute_matrix(), np.conj(qml.S.compute_matrix())))
>>> mat
tensor([[0.+0.j, 0.-1.j],
        [0.+1.j, 0.+0.j]], requires_grad=True)
>>> mat == qml.PauliY.compute_matrix()
tensor([[ True,  True],
        [ True,  True]], requires_grad=True)
>>>

I'll make the fix shortly :)