buiding circuits from color superconductors caveat: the sort of exotic matter engineering in here is currently beyond the reach of our technology, but, that having been said: 
Has their been any research on building models of these sorts of circuits?
Are there computations that would be more effective in circuits built from color superconductors than would be in ones built from electric superconductors?
 A: Color forces are not like electromagnetic ones. There exist no unbound  color carrying particles analogous to the electron, because the forces increase with the distance rather than decrease and collective effects appear only within nuclei through residuals of the colored  forces which attract the nucleons  and hold them in the nuclei.
Collective effects are predicted by quantum chromodynamics to appear at very high temperatures in the quark-gluon plasma phase of matter. Plasma means 

a phase of quantum chromodynamics (QCD) which exists at extremely high temperature and/or density. This phase consists of asymptotically free quarks and gluons,a This happens at very high temperatures 

The signatures of this are sought in the  specifically designed ion collisions of the LHC experiments currently. 
To answer your question: No, there are no materials that could be utilized to channel this plasma and create a "circuit" i.e. a color current, let alone a superconducting current, meaning a current that displays macroscopic quantum mechanical order and flows  coherently.
