"This is yet again a case where you and I are talking about different things. Using the definition of "capitalism" that I am using It is absolutely possible and even preferable to not have a state."

property rights can not exist without a state.

Property rights only exist through the state. Ownership is not an objective concept but a legal fiction.

Ownership literally just means control. Control can only exist through violence or threat of violence, the guards that are employed to keep private property in existence are the new police of the new dictator you call the owner.