By how much will it improve latency between EU and Asia? or US and Asia?
Where it seems like we're pretty far from the theoretical min is connections within the continental US. Latency is pretty bad (e.g. I get like 1.5x - 4x the theoretical min latency from my Fiber connection in the SF Bay Area, depending on endpoint). I assume part of this is indirect connections (you don't have a direct fiber connection between every pair of cities, because that would be dumb) and some of it is routing overhead (a connection to Asia goes a long distance, but often has way fewer hops).
Note that this is theoretical min latency based on the speed of light through fiber*, which is a bit higher than (about 5/3x) the speed of light through air. New fiber optic tech might help this at some point.