Evolution of Photons from Bell-States to Separable States

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Hi there,

I know in this article - http://arxiv.org/ftp/arxiv/papers/1203/1203.4834.pdf - the authors discard the clicks at H at output b" with V at output c" (and vice versa), saying they are seperable states regardless of whether the decision to perform a bell-state measurement on photons #2 and #3 is made or not.

I was wondering if someone who knows their stuff could write the evolution of the photons to get that above result (including for when the photons get converted into L and R polarisation)? Similiar to what they have for their evolution of the two bell-states they detect (on page 14).

Many thanks!
 
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