Show that the collection of all unit vectors in $\displaystyle H$ ($\displaystyle H$ is a Hilbert space) is in bijection with $\displaystyle S^1$ (a fibre bundle) over the Bloch sphere.

So I have that a unit vector in $\displaystyle H$ is of the form, $\displaystyle \alpha|0\rangle + \beta|1\rangle$, where $\displaystyle |\alpha|^2 + |\beta|^2 = 1$. How do I relate this to the fibre bundle.