Determination of spatial quantum states by using Point Diffraction Interferometry

• URL: http://arxiv.org/abs/2005.09963v1
• Date: Wed, 20 May 2020 11:10:59 GMT
• Title: Determination of spatial quantum states by using Point Diffraction Interferometry
• Authors: Quimey Pears Stefano, Lorena Reb\'on, and Claudio Iemmi
• Abstract summary: We present a method to reconstruct pure spatial qudits of arbitrary dimension $d$ based on a point diffraction interferometer. In the proposed scheme, the quantum states are codified in the discretized transverse position of a photon field, once they are sent through an aperture with $d$ slits. To characterize these photonic quantum states, the complete phase wavefront is reconstructed through a phase-shifting technique.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a method to reconstruct pure spatial qudits of arbitrary dimension $d$, which is based on a point diffraction interferometer. In the proposed scheme, the quantum states are codified in the discretized transverse position of a photon field, once they are sent through an aperture with $d$ slits, and a known background is added to provide a phase reference. To characterize these photonic quantum states, the complete phase wavefront is reconstructed through a phase-shifting technique. Combined with a multipixel detector, the acquisition can be parallelized, and only four interferograms are required to reconstruct any pure qudit, independently of the dimension $d$. We tested the method experimentally, for reconstructing states of dimension $d=6$ randomly chosen. A mean fidelity values of $0.95$ is obtained. Additionally, we develop an experimental scheme that allows to estimate phase aberrations affecting the wavefront upon propagation, and thus improve the quantum state estimation. In that regard, we present a proof-of-principle demonstration that shows the possibility to correct the influence of turbulence in a free-space communication, recovering mean fidelity values comparable to the propagation free of turbulence.

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