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[QUE/QM-07007]

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A physical system has dynamical variables $X,Y,Z$ represented by the $2\times2$ Pauli matrices $\sigma_x,\sigma_y,\sigma_z$.

Compute the average values and uncertainties of $X,Y$ and $Z $  in a state represented by
$$ \chi = \begin{pmatrix} 1 + 2i \\ 1-3i  \end{pmatrix} $$

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