Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Correlated States

MP 2.4: Vortrag

Dienstag, 17. März 2026, 12:00–12:15, KH 02.013

Holography from Tensor Networks: An RT-like Formula from Homological codes — •Jorge Ortiz — Deutsches Elektronen-Synchrotron (DESY), Notkestr. 85, 22607 Hamburg, Germany — Universität Hamburg, Mittelweg 177, 20148 Hamburg, Germany

We present a microscopic approach to holographic duality based on tensor networks built from simple quantum error-correcting codes, specifically toric codes. We construct a layered network by gluing toric codes step by step to encode bulk degrees of freedom into boundary ones, in close analogy to holographic tensor-network models such as the HaPPY code. In this setup, bulk effective field theory operators are embedded into quantum-gravity degrees of freedom while remaining agnostic about the emergent spacetime curvature.

In the first non-trivial example, we compute entanglement entropies and obtain an RT-like formula. This realises entanglement-wedge reconstruction in a fully discrete, controllable model, dictated by the error-correcting properties of the code.

When adding further layers, the explicit computation of entropies quickly becomes intractable, which motivates a more abstract, topological-algebraic description of the network.

Keywords: Ryu-Takayanagi formula; holography; Homological codes; Tensor network; Entanglement