China "communist"? Nominally, but no one here or there actually believes it. It's evolved into some sort of authoritarian regime with elements of state and private sector capitalism.
It's a lot like the US really, except that the country's rulers basically choose each other directly, instead of being chosen in a public election with rigged choices. Also, it has much more direct state control and ownership of certain industries and companies, but that's not completely unlike what happened with, for instance, the big auto bailout a decade ago.