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Mainz 2017 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 41: Quantum Information: Concepts and Methods VI

Q 41.5: Talk

Thursday, March 9, 2017, 12:15–12:30, P 2

Free-Space Entangled Quantum Carpets — •Andreas Ketterer1,2, Mariana R. Barros3, Osvaldo J. Farías4, Fernando de Melo4, and Stephen P. Walborn31Université Paris Diderot, Paris, France — 2Universität Siegen, Siegen, Germany — 3Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil — 4Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Brazil

The Talbot effect in quantum physics is known to produce intricate patterns in the probability distribution of a particle, known as “quantum carpets”, corresponding to the revival and replication of the initial wave function. Recently, it was shown that one can encode a D-level qudit, in such a way that the Talbot effect can be used to process the D-dimensional quantum information [1]. In this talk I will introduce a scheme to produce free-propagating “entangled quantum carpets” with pairs of photons produced by spontaneous parametric down-conversion [2]. First I introduce an optical device that can be used to synthesize arbitrary superposition states of Talbot qudits. Sending spatially entangled photon pairs through a pair of these devices produces an entangled pair of qudits. As an application, I show how the Talbot effect can be used to test a D-dimensional Bell inequality.

[1] O. J. Farías et al., Phys. Rev. A 91, 062328 (2015)

[2] M. R. Barros, A. Ketterer et al., in prep. (2016)

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