Preparing arbitrary pure states of spatial qudits with a single phase-only spatial light modulator

Abstract

Spatial qudits are D-dimensional ($D\ge 2$) quantum systems carrying information encoded in the discretized transverse momentum and position of single photons. We present a proof-of-principle demonstration of a method for preparing arbitrary pure states of such systems by using a single phase-only spatial light modulator (SLM). The method relies on the encoding of the complex transmission function corresponding to a given spatial qudit state onto a preset diffraction order of a phase-only grating function addressed at the SLM. Fidelities of preparation above 94% were obtained with this method, which is simpler, less costly, and more efficient than those that require two SLMs for the same purpose.

4 pages, 4 figures

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• Experimental characterization of quantum processes: a selective and efficient method in arbitrary finite dimension
• Determination of spatial quantum states by using Point Diffraction Interferometry
• Photonic quantum information with time-bins: Principles and applications