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(#|A>1(#|B>2 + #|C>2)) + (#|D>1(#|E>2 + #|F>2))

Here particle 1 is in a superposition of |A> and |D> but is also entangled with particle 2 so that finding 1 to be in |A> will collapse 2 into a |B>/|C> superposition while finding 1 to be in |D> will collapse 2 into a |E>/|F> superposition.

Firstly, are there realistic examples of this (i.e. where it matter for practical purposes) in which 2's wave function spreads?

Here's a fanciful example: an electron gun g that is about to fire an electron is in a superposition of two places (here and there). This would presumably yield:

(#|here>g([e spreads over time])) + (#|there>g([e spreads (slightly differently) over time]))

Is there any realistic examples of quantum states which has this form?