The state owns nothing under Communism as Communism assumes no state, social classes, private property and money. I do not think Communism can be achieved though, maybe in prehistoric society of docile gatherers of which we are not.
But that's no reason to give up and make greed mandatory.
Under original doctrine there is no State because "the people" will have evolved enough to do without it.
Well, yes, since “capitalism” was literally coined to describe a particular then-existing system in which the instrumentality of the state not only exists but also, most particularly through a specific structure of property rights, directly serves the interests of the capital-owning class to the relative disadvantage of other segments of society, and has consistently since then referred to that system (or ones sharing some of its salient features) both for those who have advocated moving farther from it and for those advocating its adoption or a return to it in places which have moved on, in whole or in part, from it.
Other than it's gibberish? Capitalism, a system where money is used to purchase property by individuals, is a society ... without issued currency or individual property rights, you say?
Look around you, are capitalist countries stateless, and are stateless countries Capitalistic?