Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses

Edgar A. Aguilar , Máté Farkas , Daniel Martínez , Matías Alvarado , Jaime Cariñe , Guilherme B. Xavier , Johanna F. Barra , Gustavo Cañas , Marcin Pawłowski , Gustavo Lima

Abstract

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.
Author Edgar A. Aguilar (FMPI / ITPA)
Edgar A. Aguilar ,,
- Institute of Theoretical Physics and Astrophysics
, Máté Farkas (FMPI / ITPA)
Máté Farkas,,
- Institute of Theoretical Physics and Astrophysics
, Daniel Martínez
Daniel Martínez,,
-
, Matías Alvarado
Matías Alvarado,,
-
, Jaime Cariñe
Jaime Cariñe,,
-
, Guilherme B. Xavier
Guilherme B. Xavier,,
-
, Johanna F. Barra
Johanna F. Barra,,
-
, Gustavo Cañas
Gustavo Cañas,,
-
, Marcin Pawłowski (FMPI / ITPA)
Marcin Pawłowski,,
- Institute of Theoretical Physics and Astrophysics
, Gustavo Lima
Gustavo Lima,,
-
Journal seriesPhysical Review Letters, ISSN 0031-9007, (A 45 pkt)
Issue year2018
Vol120
No23
Pages1-18
Publication size in sheets0.85
DOIDOI:10.1103/PhysRevLett.120.230503
URL https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.120.230503
Languageen angielski
Score (nominal)45
ScoreMinisterial score = 45.0, 26-10-2018, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, 26-10-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 8.462 (2) - 2016=7.805 (5)
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