Heidelberg 2015 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 35: Quantum Information: Concepts and Methods V
Q 35.6: Vortrag
Mittwoch, 25. März 2015, 12:15–12:30, K/HS1
Necessary and sufficient conditions for state-independent contextuality — •Costantino Budroni1, Adan Cabello2, and Matthias Kleinmann3 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany — 2Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain — 3Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain
We review a recent proposal of necessary and sufficient conditions for state-independent contextuality (SIC) based on Linear Programming [1]. We show that such an approach fails to exclude many invalid scenarios, and thus it gives only necessary conditions.
We present a general solution of the problem, i.e., necessary and sufficient conditions for SIC, based on semidefinite programming, and discuss its relation with previous results. Moreover, we prove Yu and Oh’s conjecture [2] on the simplest state-independent contextuality scenario
[1] R. Ramanathan and P. Horodecki, Phys. Rev. Lett. 112, 040404 (2014).
[2] S. Yu and C. H. Oh, Phys. Rev. Lett. 108, 030402 (2012).