On 11/17/2017 6:41 PM, [email protected] wrote:
*Not sure of the distinction between "an operator" and a "local
operator" in the context of the singlet state. *
A local operator would be one that interacts with only one of the two
particles, i.e. it's located near Alice or near Bob, but not both.
*Can you write the basis and possibly the operator in which the
singlet state, which I think is pure, is an eigenfunction? AG *
Maybe Bruce can do this more elegantly, but I think it would be,
Where A and B refere to Alice and Bob and the subscript indicates they
detected the particle as spin up or down relative to the SG set at angle
phi_i. And the sum is over all possible angles. So the operator should
return 1 if the angular momentum is conserved (it's a singlet state) and
0 otherwise, but doesn't actually tell you what the spin direction was.
Brent
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