Experimental implementation of the fractional-vortex Hilbert hotel

  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},
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… 
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