If you can accurately approximate the objective distribution of those people, and draw someone at random from it, that seems as good as resurrection to me.

How might we go about doing this? One method I can see is to make a large number of measurements on physical objects/systems correlated with the deceased persons (in the information theoretic sense), then do a full quantum simulation of the universe starting from initial low-entropy conditions, and look for branches that contain systems that match those measurements, then backtrack the simulation a bit to where those persons are still alive.

Is that what you had in mind?