In Communism private property is abolished in order to create exclusively common property. (Rule By Discretion)

In Libertarianism, common property is abolished in order to create exclusively private property. (Anarchy)

In Classical Liberalism (Rule of Law), the houses of government constitute a market for the voluntary production of commons between the people who pay for them with sacrifice of their private property. (Rule of Law)

https://www.quora.com/Whats-the-difference-between-communism-and-libertarianism