Exercise 2.14 Discussion

$\def\i{\mathbf {i}}\def\ket#1{|{#1}\rangle}\def\bra#1{\langle{#1}|}\def\braket#1#2{\langle{#1}|{#2}\rangle}\mathbf{Exercise\ 2.14}$

a) Show that antipodal points on the surface of the Block sphere represent orthogonal states.

b) Show that any two orthogonal states correspond to antipodal points.