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If the state involves from an unentangled to an entangled state, the state is changing. How else would you be able to use the SG magnet as a preparation apparatus for spin-##z## eigenstates? Of course, if you trace out the spatial/momentum information you are right (for the usual idealized approximation). But that's not what makes the SGE inteteresting!PeterDonis said:I've already done that multiple times in this thread.No, it doesn't. It entangles the spin degree of freedom with the linear momentum degree of freedom. It doesn't change the amplitudes of the spin components at all. I've already said this multiple times in this thread.