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So it is more efficient at exploring the solution territory of traveling salesman type problems than classical computers?

I would safely say that it does not solve TSP faster than the best TSP code available - Concorde.

More info here, and note there is an iOS app too (Concorde TSP on the App Store) that you can play with that solves TSP to optimality: http://www.math.uwaterloo.ca/tsp/concorde.html

It has not been shown that it solves QUBO/NP hard problems any faster asymptotically.