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
AbstractWe 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.
|Journal series||Physical Review Letters, ISSN 0031-9007, (A 45 pkt)|
|Publication size in sheets||0.85|
|Score|| = 45.0, 26-10-2018, ArticleFromJournal|
= 45.0, 26-10-2018, ArticleFromJournal
|Publication indicators||: 2016 = 8.462 (2) - 2016=7.805 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.