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A physical system has dynamical variables $X,Y,Z$ represented by the $2\times2$ Pauli matrices $\sigma_x,\sigma_y,\sigma_z$.
In each of the following cases find out if the dynamical variables can be measured simultaneously or not.
A physical system has dynamical variables $X,Y,Z$ represented by the $2\times2$ Pauli matrices $\sigma_x,\sigma_y,\sigma_z$. In each of the following cases find out if the dynamical variables can be measured simultaneously or not.
- $X $ and $Y$
- $Y$ and $Z$
- $Y^2$ and $Z$.
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