Since the spins are correlated in the z direction, we expect that the measurment outcomes on the left and on the right are always the same.
Stern Gerlach
Push the button to create the entangled state
Rotate magnets
Since the spins are correlated in the x direction as well, we expect that the measurment outcomes on the left and on the right are always the same. This is not possible with only classical correlations.