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Certifying an Irreducible 1024-Dimensional Photonic State Using Refined Dimension Witnesses
Univ Gdansk, Poland.
Univ Gdansk, Poland.
Univ Concepcion, Chile.
Univ Concepcion, Chile.
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2018 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 120, no 23, article id 230503Article in journal (Refereed) Published
Abstract [en]

We report on a new class of dimension witnesses, based on quantum random access codes, which are a function of the recorded statistics and that have different bounds for all possible decompositions of a high-dimensional physical system. Thus, it certifies the dimension of the system and has the new distinct feature of identifying whether the high-dimensional system is decomposable in terms of lower dimensional subsystems. To demonstrate the practicability of this technique, we used it to experimentally certify the generation of an irreducible 1024-dimensional photonic quantum state. Therefore, certifying that the state is not multipartite or encoded using noncoupled different degrees of freedom of a single photon. Our protocol should find applications in a broad class of modern quantum information experiments addressing the generation of high-dimensional quantum systems, where quantum tomography may become intractable.

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AMER PHYSICAL SOC , 2018. Vol. 120, no 23, article id 230503
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URN: urn:nbn:se:liu:diva-149348DOI: 10.1103/PhysRevLett.120.230503ISI: 000434632600001PubMedID: 29932702OAI: oai:DiVA.org:liu-149348DiVA, id: diva2:1229816
Note

Funding Agencies|First TEAM [20161/5]; NCN Sonata [UMO-2014/14/E/ST2/00020]; Fondecyt [1160400, 11150324, 1150101, 3170307, 3170596]; Millennium Institute for Research in Optics, MIRO; CONACyT; CONICYT

Available from: 2018-07-02 Created: 2018-07-02 Last updated: 2018-08-02

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