Officially, China is still labeled by the West as a communist country. But in reality, it is different than that. The present day communist China is totally different from what it was 30 to 50 years ago (during the leadership of Mao Zedong). They are now allowed to travel anywhere, study or travel abroad if they can afford it. They can start and operate their own business enterprises and keep the profits from it, although the exception to this are major public utility enterprises like power generation, transportation, telecommunication, which are still state-owned enterprises (or semi-government, with private entities owning parts of these enterprises).
So in reality, China nowadays is a capitalist-driven economy. Its people don't refer to themselves as communists anymore, but as private Chinese citizens.