Many body entanglement and its direct observation
Final Report Abstract
Central goal of the project was the development of mathematical tools that permit the identification of correlations in quantum mechanical systems that can not be explained classically. A particularly important aspect was the requirement that these tools can be assessed in laboratory experiments in terms of potentially few to-be-measured quantities. In systems with many constituents correlations can often be accounted for by a mix of quantum mechanical and classical features, but applications of quantum information theory typically require correlations that originate only from coherent quantum mechanical dynamics. The criteria that we developed permit to distinguish such purely quantum mechanical correlations from correlations of mixed quantum and classical character. The ability to generate such purely quantum mechanical correlations is an experimental evidence of a system’s capability to execute quantum informational tasks, so that our tools can be employed to verify the usefulness a specific systems for such applications. As we could also show, the coherence properties, that give rise to these quantum mechanical correlations also have direct dynamical consequences, e.g. for photons that propagate through arrays of semi-transparent mirrors or excitations that propagate through molecular networks. We could show that well-defined coherence properties permit to guide photons or excitations very well through periodic or disordered systems, whereas a classical dynamcis would result in amore diffusive dynamics.
Publications
- Detection of High-Dimensional Genuine Multipartite Entanglement of Mixed States Phys. Rev. Lett. 104, 210501 (2010)
Marcus Huber, Florian Mintert and Andreas Gabriel, Beatrix C. Hiesmayr
- Many-body entanglement: Permutations and equivalence classes Phys. Rev. A 86, 052330 (2012)
Florian Mintert, Benno Salwey, and Andreas Buchleitner
(See online at https://doi.org/10.1103/PhysRevA.86.052330)