Actually, that is not what communism is.
Communism, on paper, is a COMPLETELY classless society where EVERYTHING is the common-good of the people; everything is owned by the people as a whole. There are no divisions between manual or intellectual labor or between people in the cities or on the countryside, men or women etc. The state is ran by the people for the people - no politicians, royals or moneybags needed to run the show. With that said there has obviously never been a communist country/state ever, because the biggest weakness of communism is that it is too idealistic and naive and has no safety-breaks when it comes to human nature. It starts with a people's revolution, but instead of the people taking over, the military/warlords/militants and other authoritarians step in and seize power and turn that sweet little communist utopia into military dictatorship as they now have full reign over everything. The only communist thing here is the name, and that's about it. China, Soviet Union etc. pretty much all went that route.
Communism, to me, is the left-wing version of right-wing Libertarianism. On paper it looks all appealing and wonderful, very utopian and believes that humans can handle power/wealth, but in reality it doesn't work at all as humankind is effed up and can't handle wealth and power in any kind of way. So let's just face it - us humans need laws and regulations to keep us in check. Now, the big question is what kind of laws and regulations we find healthy and fair and that we all can agree on? That's the big aeon old nut to crack.