I'm far from an expert on communism. But the government, and especially a single person, retaining power over the state and economy is far from communism, it's more authoritarian. Communism in it's very base is the citizens owning the means of production, not the state owning those. This in no way is represented in China, where the state has a lot of power over the economy and owns parts of some companies, but there are still capitalists owning factories and workers working there.