K. Filtering the 2D spin-cannot filter coherences

In the last entry I showed that the two dimensional spin cannot be fully characterized by measurement because of the Heisenberg Uncertainty Principle.  This results because when measured, half the states are randomized away.  In fact it was concluded that this 2D spin is capable of measurement along each orthogonal axis, but only one can be measured in an experiment.  This means that each such spin is theoretically capable of twice as many clicks as usual spin, even though only half can be detected.

Stated otherwise, the same number of events can be detected from usual spin as the 2D spin, but that number corresponds to only half the events that are possible from the 2D spin.

This point is important for resolving EPR.