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Quantum Hilbert hotel

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Figure

FIG. 1 (color online).Hilbert hotel protocol.—(a) The initialstate is a single particle wave function ψðxÞ within an infinitesquare potential well
FIG. 2 (color online).Experimental schematic.The Fourier plane of this grating is imaged onto the bottom halfof the same SLM displaying the appropriate hologram to correctfor the relative phase between the three copies
FIG. 4 (color online).OAM multiplication performance.each input eigenmode we measure the composition of themultiplied output

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