Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 12: Quantum Effects
Q 12.1: Talk
Monday, March 9, 2020, 14:00–14:15, f442
Exploring complex graphs using 3D quantum walks of correlated photon pairs — •Max Ehrhardt1, Robert Keil2, Lukas Maczewsky1, Matthias Heinrich1, and Alexander Szameit1 — 1Institut für Physik, Universität Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany — 2Universität Innsbruck, Institut für Experimentalphysik, Technikerstr. 25d, 6020 Innsbruck, Austria
The complexity of graphs fundamentally constrains the applicative potential of quantum walks in quantum search algorithms, as well as the study of graph theory problems and biochemical energy transport. Currently, the experimental implementation of such graphs is limited to two dimensions for more than a single walker. We harness the hybrid interaction of spatial degrees of freedom and coupling between the polarization states of single photons to implement quantum walks on 3D graphs in waveguide circuits for the first time. In order to illustrate the functional capabilities of our approach, we demonstrate that polarization forms a synthetic space in a single waveguide, and successively upgrade this system to the third dimension. In addition to experimentally exploring 3D graphs with two correlated photons, we also present a new approach to the implementation of negative coupling coefficients as well as the observation of fermionic statistics with two bosonic quantum walkers.