Why? What does state (as I understand it, something like a session) have to do with a representation of a resource?
An object has attributes (or state) and behaviors (or methods).
If I want to move an object from my desktop to a server I have to do the following:
Create a representation of the state of the object.
Transfer that representation from the desktop to the server.
The methods I don't transfer. I install the same class definition on both machines.
So, REST is about creating a representation of the object's current state so it can be transferred to another server from which the object can be reconstructed.
We only send the state -- the attributes -- of the object. And we have to create an external, serialized representation of that state.