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Quantum Hilbert Hotel

Potoček, Václav and Miatto, Filippo M. and Mirhosseini, Mohammad and Magaña-Loaiza, Omar S. and Liapis, Andreas C. and Oi, Daniel K. L. and Boyd, Robert W. and Jeffers, John (2015) Quantum Hilbert Hotel. Physical Review Letters, 115 (16). Aert. No. 160505. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20190628-110705053

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Abstract

In 1924 David Hilbert conceived a paradoxical tale involving a hotel with an infinite number of rooms to illustrate some aspects of the mathematical notion of “infinity.” In continuous-variable quantum mechanics we routinely make use of infinite state spaces: here we show that such a theoretical apparatus can accommodate an analog of Hilbert’s hotel paradox. We devise a protocol that, mimicking what happens to the guests of the hotel, maps the amplitudes of an infinite eigenbasis to twice their original quantum number in a coherent and deterministic manner, producing infinitely many unoccupied levels in the process. We demonstrate the feasibility of the protocol by experimentally realizing it on the orbital angular momentum of a paraxial field. This new non-Gaussian operation may be exploited, for example, for enhancing the sensitivity of NOON states, for increasing the capacity of a channel, or for multiplexing multiple channels into a single one.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevlett.115.160505DOIArticle
https://physics.aps.org/synopsis-for/10.1103/PhysRevLett.115.160505Featured InPhysics : Synopsis
https://journals.aps.org/prl/supplemental/10.1103/PhysRevLett.115.160505/QHH_Supplementary_Material.pdfPublisherSupporting Information
https://arxiv.org/abs/1506.00675arXivDiscussion Paper
ORCID:
AuthorORCID
Boyd, Robert W.0000-0002-1234-2265
Additional Information:This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. (Received 15 June 2015; published 15 October 2015) This work was supported by the Canada Excellence Research Chairs (CERC) Program, the Natural Sciences and Engineering Research Council of Canada (NSERC), and the U.K. EPSRC. O. S. M. L. acknowledges support from CONACyT and the Mexican Secretaria de Educacion Publica (SEP). D. K. L. O., J. J., and V. P. acknowledge QUISCO.
Funders:
Funding AgencyGrant Number
Canada Research Chairs ProgramUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Consejo Nacional de Ciencia y Tecnología (CONACYT)UNSPECIFIED
Secretaría de Educación Pública (SEP)UNSPECIFIED
QUISCOUNSPECIFIED
Issue or Number:16
Classification Code:PACS numbers: 03.65.Ta, 03.67.Ac, 42.50.Dv, 42.50.Tx
Record Number:CaltechAUTHORS:20190628-110705053
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190628-110705053
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96842
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:01 Jul 2019 14:33
Last Modified:03 Oct 2019 21:26

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