and 
. We will assume that it can "flip" from 0 to 1 or from 1
to 0 when coupled to a quantum spin. Each flip represents an
event; specifically: a detection event. The interpretation is
that when the detector flips, the experimental question "is the
spin oriented along the vector 
?" gets an affirmative answer.
Note that and 
are two different experimental
questions. They corresponds to two opposite spin directions.
A realistic detector should also exhibit a relaxation time, that
is, after each flip it should take some time before it is ready to
flip again. We could easily model this phenomenon in our model,
but here we are interested in patterns that are created, not in
the timing of its appearance .
Acknowledgements
One of us (A.J) would like to thank L.K-J
for invaluable help.