We can rewrite the Hadamard gate as $R_x(-\pi/2)R_z(-\pi/2)R_x(-\pi/2)$. I am trying to visualize the effect of applying the Hadamard gate to $|+\rangle$ on the Bloch sphere.
The X gate takes $|+\rangle$ to $|+\rangle$. The Z gate takes $|+\rangle$ to $|-\rangle$. The last X gate takes $|-\rangle$ to $|-\rangle$ (ignoring the phase factors).
I know that the effect of Hadamard on $|+\rangle$ is $|0\rangle$.
I am trying to imagine a clockwise rotation of $\pi$/2 about the X "axis" on the Bloch sphere, followed by a clockwise rotation of $\pi$/2 about the Z "axis", followed by a $\pi$/2 about the X "axis".
Please advise my error. I have read up on wikipedia and StackExchange regarding the Bloch sphere and rotations. I am trying to use this understanding to find the Z-Y decomposition of the Hadamard gate, and use that decomposition to find $U=e^(i\alpha)AXBXC$ for the Hadamard gate.
The corollary of $U=e^(i\alpha)R_n(\beta)R_m(\gamma)R_n(\delta)$).