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Well Schrödinger's cat is considered to be not "passive", otherwise the paradox is moot. The best explanation we know is decoherence theory. That is we disregard environmental micro-states that are macroscopically the same, in this interpretation one gets the density matrix $\rho = \frac 1 2 \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ for the ...