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


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
Publication size in sheets0.85
URL https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.120.230503
Languageen angielski
Score (nominal)45
ScoreMinisterial score = 45.0, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, ArticleFromJournal
Publication indicators WoS Impact Factor: 2017 = 8.839 (2) - 2017=7.888 (5)
Citation count*
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.