Is there any study of how much entropy exists in a particle? For example, is there any connection between the quantum states of a string and the entropy/information in the string state? If a string state were perfectly symmetrical, then there would be less information in that state than if the string changed value along its length. So it seems that higher excited string states correspond to more information, etc. Or is there any connection between entropy/information and the probability amplitudes of the alternate paths of the Feynman path integrals? Where does entropy start to enter the quantum picture of things? Thanks.