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

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