Tobias Moroder, Universität Siegen
Abstract
Most experiments require a rather precise characterization of the employed equipment or of the underlying model generating the data. However and presumably quite surprising at first, many tasks in quantum information processing can be made completely independent of this necessity. This has become the beauty of device independence, and there is a variety of tasks which have been investigated more thoroughly recently, including, for instance, different entanglement verification schemes or witnesses of the underlying quantum dimension.
We present a method for device independent entanglement quantification for the bi- and multipartite case, which directly provides non-trivial information about the underlying quantum dimension or the type of entanglement. This becomes possible by a novel technique to device independently characterize correlations if the quantum state has for instance a positive partial transpose or a biseparable structure. With this technique we additionally derive bounds on the maximal violation of a Bell inequality if the underlying state is PPT (and thus bound) entangled, which provides new insights into the bipartite Peres conjecture.
joint work with: Jean-Daniel Bancal, Yeong-Cherng Liang, Martin Hofmann, Otfried Gühne
arXiv:1302.1336