Density cubes and higher-order interference theories

Autor(en)

B. Dakic, T. Paterek, C. Brukner

Abstrakt

Can quantum theory be seen as a special case of a more general probabilistic theory, as classical theory is a special case of the quantum one? We study here the class of generalized probabilistic theories defined by the order of interference they exhibit as proposed by Sorkin. A simple operational argument shows that the theories require higher-order tensors as a representation of physical states. For the third-order interference we derive an explicit theory of 'density cubes' and show that quantum theory, i.e. theory of density matrices, is naturally embedded in it. We derive the genuine non-quantum class of states and non-trivial dynamics for the case of a three-level system and show how one can construct the states of higher dimensions. Additionally to genuine third-order interference, the density cubes are shown to violate the Leggett-Garg inequality beyond the quantum Tsirelson bound for temporal correlations.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

National University of Singapore (NUS), Österreichische Akademie der Wissenschaften (ÖAW), Nanyang Technological University (NTU)

Journal

New Journal of Physics

Band

16

Anzahl der Seiten

15

ISSN

1367-2630

DOI

https://doi.org/10.1088/1367-2630/16/2/023028

Publikationsdatum

02-2014

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103036 Theoretische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7ae9d539-ad6c-4a7f-80db-fae3675efd67