It's known that the Hadamard operation is just a rotation of the sphere about the ˆy axis by 90 degrees, followed by a rotation about the ˆx axis by 180 degrees.
On the other hand, H2=I, where H is the unitary matrix corresponding to the Hadamard gate and I is the identity matrix.
If we do the rotation corresponding to the Hadamard matrix twice, then based on H2=I, we would come out to the original situation, right? But, somehow, I can not see that. Could someone shed some light on this problem?
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