China is very much communist. It's very different than 19th and 20th century communist state, but the US looks very different than a 19th and 20th century capitalist state.
The Chinese governmental structure is very much communist. The ideals in the propaganda are communist. The goverment has strong control of their citizens, controlling how many children they can have, which city they can live in, etc.
You're looking for the term Totalitarian. All Communists are Totalitarian, not all Totalitarians are Communists. They've long since done away with the pretenses of Communism.