Represents the state of a qubit as a point on the Bloch sphere
Jul 23, 2012 | by
In the chapter 1.2 of Michael Nielsen’s book Quantum Comutation and Quantum Information, it is said that the state of a qubit could be rewritten as \begin{equation}\label{eq_bloch} |\psi\rangle = \cos\frac{\theta}{2}|0\rangle + e^{i\varphi}\sin\frac{\theta}{2}|1\rangle, \end{equation} but the inference procedure was not given. Here we try to infer it.