Artiaco, ClaudiaKvorning, Thomas KleinChávez, David AceitunoHerviou, LoïcBardarson, Jens H.2025-05-192025-05-192025-05-172025-05-1310.1103/physrevlett.134.190401https://infoscience.epfl.ch/handle/20.500.14299/250239We propose a universal framework for classifying quantum states based on their scale-resolved correlation structure. Using the recently introduced information lattice, which provides an operational definition of the total amount of correlations at each scale, we define intrinsic characteristic length scales of quantum states. We analyze ground and midspectrum eigenstates of the disordered interacting Kitaev chain, showing that our framework provides a novel unbiased approach to quantum matter.entext::journal::journal article::research article