The Bloch Sphere

Spherical Polar Coordinates Cartesian coordinates are related to polar coordinates by: x = r sin θ cos φ y = r sin θ sin φ z = r cos θ so renaming rα to z, and remembering that r = 1, we can write: |ψ0i = z|0i +(x + iy)|1i = cos θ|0i +sin θ(cos φ + i sin φ)|1i = cos θ|0i + eiφ sin θ|1i Now we have just two parameters defining ... ................
................