München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quanteninformation und AdS/CFT

MP 4.3: Talk

Tuesday, March 19, 2019, 12:00–12:20, HS 23

Holographic Majorana dimer models and quantum error correction — •Alexander Jahn, Marek Gluza, Fernando Pastawski, and Jens Eisert — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Deutschland

In this talk, we present a class of ground states of quadratic Hamiltonians characterized by a non-local pairing of Majorana fermions. These dimer-like states appear in stabilizer codes used for quantum error correction. We establish a rigorous framework accompanied by an intuitive diagrammatic representation, which makes tensor contraction and explicit computation of entanglement entropies straightforward. Applied to the holographic pentagon code - a toy model for the AdS/CFT correspondence - our approach provides a concrete bulk/boundary operator mapping, yielding new insights into the correlation structure of holographic tensor networks.