Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 30: Quantum Information: Concepts and Methods V
Q 30.4: Vortrag
Mittwoch, 2. März 2016, 11:45–12:00, e214
Memory Cost for Simulating all Contextuality Correlations in the Peres-Mermin Square — •Gabriel Fagundes Camargo1,2 and Matthias Kleinmann2 — 1Federal University of Minas Gerais, Belo Horizonte, Brazil — 2University of the Basque Country, Leioa, Spain
Contextuality is a feature of quantum theory which classical models can not reproduce. However, for contextuality scenarios realized in sequential measurements, the capabilities of the classical models may embrace an additional feature: internal memory. For the Peres-Mermin square, three internal states are required to be not in contradiction with quantum theory [1]. We extend this analysis and compute the memory needed for fully agreeing with quantum correlations, i.e., to agree with the predicitons of any quantum state of any compatible sequence of measurements. Despite this comprehensive approach we find that three internal states are sufficient and then in particular allow to violate any corresponding non-contextuality inequality.
[1] M. Kleinmann, O. Gühne, J. R. Portillo, J.-A. Larsson, and A. Cabello, New J. Phys. 13, 113011 (2011)