Does the Schrodinger equation tell us how to increase the relative probability of interacting with an almost completely orthogonal Everett Branch?

"Almost completely orthogonal" here bears qualifying: In classical thermodynamics, the concept of entropy is sometimes taught by appealing to the probability of all of the gas in a room happening to end up in a configuration where one half of the room is vacuum, and the other half of the room contains gas. After some calculation, we see that the probability of this happening ends up being (effectively) on the order of 10^(-10^23), give or take several orders of magnitude (not like it matters at that point).

Now, that said, how confident are you that different Everettian earths are even at the same point of space time we are, given a branching, say, 10 seconds ago? Pick an atom before the split and pick its two copies after. Are they still within a Bohr radii of each other after after even a nanosecond? Their phases are already scrambled all to hell, so that's a fun unitary transformation to figure out.

Sure, you can prepare highly quantum mechanical sources and demonstrate interference effects, but "interuniversal travel" for any meaningful sense of the word, is about as hard as simply transforming the universe itself, subatomically, atom for atom, controllably into a different reality.

So in that sense, Schrodinger's equation tells us as much about trans-universe physics as the second law of thermodynamics tells us about building large scale Maxwell's Demons.