Hannover 2016 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 37: Quantum Information: Concepts and Methods VI

Q 37.1: Vortrag

Mittwoch, 2. März 2016, 14:30–14:45, e214

Topological entanglement entropy and the Jones-Kosaki-Longo index — •Leander Fiedler¹ and Pieter Naaijkens^2,3 — ¹Institut für Theoretische Physik, Leibniz Universität Hannover, Germany — ²Department of Mathematics, University of California, Davis, USA — ³Institute for Quantum Computing, RWTH Aachen, Germany

In the thermodynamic limit of quantum spin systems with anyonic charge content a characteristic quantity is the Jones-Kosaki-Longo index. This index was derived from the algebraic properties of the theory and is equal to the quantum dimension of the anyonic model. We show how it relates to the topological entanglement entropy derived for finitely many particles and thereby provide an operational interpretation in terms of a data hiding task.