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Input 1
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\ref{eq:0And1Qubit} hjhg \ref{eq:EulerForm}the state is measured, as it can be shown $|\rho e^{i\theta}|^2=\rho^2$ ($i$ is always the imaginary unit in this report). In other words, it is not possible to measure the global phase. The description of $\ket{q}$ can then be confined to $\alpha,\beta,\phi\in\mathbb{R}$, where $\phi$ is the relative phase $\phi=\theta_\beta-\theta_\alpha$.
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