That's (state) socialism, not communism. I've pondered that communism ("characterized by the absence of social classes, money and the state") should be easier to achieve via capitalism than via (state) socialism, since the former more strongly encourages the technological innovations required to provide the means of eliminating scarcity that communism requires to be at all practical.
That, so far to me, was the deepest irony of the USSR: to eliminate the State, they created the State, and It was doomed from the beginning; whether or not communism may one day be feasible, our 20th Century selves lacked (and still lack) the technology to compensate for our psychology.
The USA and similar "capitalist" nations do have their own irony: one of their economic foundations is the very non-capitalist structure of copyright and patent law (think about it: fundamentally, the state dictates who may use any idea, enforcing artificial scarcities and artificially captive markets). It will be interesting to see if/how they overcome this flaw.