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Note that by using the same procedure as in the previous problem,
you may also derive the following superpositions. ( You need not
derive these on the exam, you may take them as given.)

Now, you are given a new state
. Repeated measurements
yield that
and
, but
and
. Use this information to
show 1) that
and
must have the form

and 2) that

Hints: 1) Write
as a superposition of
and
. 2) Use the fact that
.
Prof. Tomas Alberto Arias
Fri Apr 19 09:33:33 EDT 1996