Berlin 2014 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 37: Quantum information: Concepts and methods I

Q 37.7: Vortrag

Donnerstag, 20. März 2014, 12:00–12:15, Kinosaal

An algebraic aproach to topological entanglement entropy — •Pieter Naaijkens and Tobias J. Osborne — Institut für Theoretische Physik, Leibniz Universität Hannover

Topological entanglement entropy (TEE) signifies topological order in a state, in the sense that there is long range entanglement. Such states can have quasiparticle excitations that have anyonic statistics. TEE is then related to the so-called total quantum dimension of these anyons. We will relate this total quantum dimension to a data hiding task, and give an interpretation of this quantity in an algebraic language, i.e., in terms of the relation between different algebras of observables. In the thermodynamic limit this leads to the Jones-Kosaki-Longo index.