Аннотация:Abstract. It is well known that the Stern — Gerlach device orients the
quantum particles of spin 1/2 along the vertical axis arranging them into two
beams of opposite polarizations.
We show how one can use this phenomenon to adjust the orientation of
remote devices. We discuss only the mathematical concept without the technical
aspects of the implementation that might be essential.
The main idea is as follows.
Use device 𝑆 to put the particle in state +𝑆 (spin in the direction of the 𝑧
axis of device 𝑆) and send it to device 𝑆′.
The measurement of the received particle on the device S' can give either the +S' state (spin in the direction of the z' axis) or the -S' state with probabilities
p_{+} = \cos^2 {\frac{\alpha}{2}} and p_{-} = \sin^2 {\frac{\alpha}{2}} respectively, where \alpha is the angle between the z and z' axes of the devices S and S'.
If we can use the S device to put particles in the +S state and in that state send them to the remote device S' without interference, then, after performing a representative series of launches of such particles, according to the statistics of the states observed on
the device S', one can calculate the probabilities p_{+} and p_{-}.
By either of the values p_{+} or p_{-}, (if they are calculated or measured reliably enough) one can find the angle \alpha = \alpha_z of the deviation of the z' axis of the device S' from the z axis of the device S.
Key words: quantum particle, spin, Stern — Gerlach device, orientation.