The error has nothing to do with Qt. Qt is a library, the error is coming from your compiler or linker.
You probably need something like:
@INCLUDEPATH += -I{{path_to_stk}}/include/stk
LIBS += -L{{path_to_stk}}/lib -lstk
@
in your PRO file. Substitute suitable values for {{path_to_stk}} they depend on your platform and install directories.