In the recent paper Blueprint for a microwave trapped ion quantum computer, the authors envision a scalable design for a quantum computer, built from smaller ones implemented on silicon wafers, "using ion transport on microfabricated trap arrays to realize an ion trap quantum computer" (which they credit to others). There's a nice animation one link away from there .
I wonder to what degree that technology exists and has been used to make a working quantum computer transporting individual ions carrying the quantum information from one location to the other, as depicted (even on a small scale, e.g. a single small IC). How many qbits or locations have been achieved? What kind of computation has been performed?