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Advanced/Introduction to Quantum/parts/02 qubit.tex
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@ -27,7 +27,7 @@ and $\ket{1} = \left[\begin{smallmatrix} 0 \\ 1 \end{smallmatrix}\right]$.
Recall that probabilistic bits are subject to the restriction that $p_0 + p_1 = 1$. \par Recall that probabilistic bits are subject to the restriction that $p_0 + p_1 = 1$. \par
Quantum bits have a similar condition: $\psi_0^2 + \psi_1^2 = 1$. \par Quantum bits have a similar condition: $\psi_0^2 + \psi_1^2 = 1$. \par
Note that this implies that $\psi_0$ and $\psi_1$ are both in $[-1, 1]$: \par Note that this implies that $\psi_0$ and $\psi_1$ are both in $[-1, 1]$. \par
Quantum amplitudes may be negative, but probabilistic bit probabilities cannot. Quantum amplitudes may be negative, but probabilistic bit probabilities cannot.
\vspace{2mm} \vspace{2mm}