# Experimental implementation of the fractional-vortex Hilbert hotel

@article{Chen2022ExperimentalIO, title={Experimental implementation of the fractional-vortex Hilbert hotel}, author={X. Chen and Shun Wang and Chenglong You and Omar S. Maga{\~n}a-Loaiza and Rui-Bo Jin}, journal={Physical Review A}, year={2022} }

The Hilbert hotel is an old mathematical paradox about sets of inﬁnite numbers. This paradox deals with the accommodation of a new guest in a hotel with an inﬁnite number of occupied rooms. Over the past decade, there have been many attempts to implement these ideas in photonic systems. In addition to the fundamental interest that this paradox has attracted, this research is motivated by the implications that the Hilbert hotel has for quantum communication and sensing. In this work, we…

## One Citation

### Simple experimental realization of optical Hilbert Hotel using scalar and vector fractional vortex beams

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Historically, infinity was long considered a vague concept - boundless, endless, larger than the largest - without any quantifiable mathematical foundation. This view changed in the 1800s through the…

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