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QI: Fachverband Quanteninformation

QI 15: Quantum Information: Concepts and Methods II

QI 15.4: Vortrag

Donnerstag, 12. März 2026, 10:15–10:30, BEY/0137

Higher-dimensional information lattice: Quantum state characterization through inclusion-exclusion local information — •Claudia Artiaco — Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany

The information lattice provides a universal characterization of quantum many-body states through local information. Local information quantifies the total amount of correlations in a region on a given scale that cannot be found in any smaller subregion. This framework allows us to define the intrinsic correlation length scales of many-body states. Moreover, within the information lattice, the total information in a system becomes akin to a hydrodynamic quantity with well-defined local densities and local currents, which allow us to characterize quench dynamics and develop efficient approximate methods for the time evolution of large-scale many-body systems.

However, the original information lattice is strictly valid only for one-dimensional states, and its key properties, such as locality and the conservation of local information under unitary dynamics, do not easily extend to higher dimensions. In this talk, I will discuss these challenges and introduce a higher-dimensional generalization of the information lattice based on the inclusion-exclusion principle. I will show how this approach enables the characterization of two-dimensional states in different universality classes, including Anderson localized states, gapped states with critical boundaries, and ground states of the toric code in various geometries. I will further demonstrate how topological features can be interpreted in terms of inclusion-exclusion local information.

Keywords: Information lattice; Quantum many-body states; Anderson localization; Critical states; Topological order