Private property requires that a private individual stake a claim to it. Private property is mutually exclusive of a state. The state [typically] is the primary violator of private property by enforcement of some shared mode.
Indeed, looking back at history, the State was created essentially the same time that private property was created. This is not a coincidence.
Private property on the other hand, for example the ownership of land or resources, did not exist until the creation of the state, because private property in this sense was not possible without it.
In actuality, even some agricultural civilizations didn't develop private property, and it turns out that those that didn't are also the ones that didn't develop the state.