A key concern, in fact, the primary objective, of monetary authorities is to achieve low and stable inflation. A necessary ingredient for achievement of low inflation is the acceleration of productivity growth in an environment of high economic growth. When growth in productivity is high, a sustained increase in income, leading to sustained growth in demand can be managed with low inflation.
So the quest for increasing productivity is of great interest to central bankers, and it is entrepreneurship and innovation that leads to productivity growth. If I may add a personal note, I have had a long standing academic interest in the promotion of research and development, and hence of productivity.