  We introduce a high-fidelity technique for coherent control of three-state
quantum systems, which combines two popular control tools --- stimulated Raman
adiabatic passage (STIRAP) and composite pulses. By using composite sequences
of pairs of partly delayed pulses with appropriate phases the nonadiabatic
transitions, which prevent STIRAP from reaching unit fidelity, can be canceled
to an arbitrary order by destructive interference, and therefore the technique
can be made arbitrarily accurate. The composite phases are given by simple
analytic formulas, and they are universal for they do not depend on the
specific pulse shapes, the pulse delay and the pulse areas.
