In China, the government is often the entrepreneur. It is in many instances a very efficient entrepreneur. Of course there are bankrupt state-owned enterprises, but there are equally dynamic companies starting out in villages, small towns, and major cities, often with a sizable amount of investment or involvement by local government authorities. It is hard to find any reasonably sized Chinese company in which government authorities do not have input.
In India, some islands of excellence notwithstanding, the government remains inefficient for the most part, and most pockets of entrepreneurship—interesting, vibrant new ways of doing things—are in the private sector or civil society, staying far away from government intervention. So here the private sector leads many significant initiatives; in China, the lead is often provided in a top-down manner.