According to communist theory, there would be no state. The end goal of communism is a stateless society. The problem is that the strategy used by a lot of communist movements historically has relied on seizing state control.

But I digress. Generally speaking, human beings are intelligent enough to realize that they need to have different people working on different tasks in order to accomplish the various needs of a society. These things can be worked out and agreed upon in a decentralized fashion.

If people can't be trusted to figure this out on their own, adding money to the mix isn't going to magically solve the problem.