Communism is easily the most misunderstood. History associates communism with totalitarian authoritarian states (whether or not they are a product of communism is a discussion of its own) and thus people often misconceive big government state ownership to be communism.
True, but don't forget one of the underlying principles of Communism laid out by Marx and Engels was the abolishment of private property.
Communism is a word that gets thrown around a lot, but it isn't as simple as "state control". It's complex, and to understand it you have to do some reading and understanding the plight of the European worker in the 1800's. It predicts a revolution of the proletariat, or working man, and establishes a complex working pattern where everyone rotates jobs and government positions. The whole thing is pretty wild, check out
The Communist Manifesto by Marx.
Capitalism makes a lot more intuitive sense, at least to me, and is easier to understand without researching. So I would say it is understood better.