Necessary and Sufficient Condition for Quantum State-Independent Contextuality

Adán Cabello, Matthias Kleinmann, and Costantino Budroni
Phys. Rev. Lett. 114, 250402 – Published 24 June 2015

Abstract

We solve the problem of whether a set of quantum tests reveals state-independent contextuality and use this result to identify the simplest set of the minimal dimension. We also show that identifying state-independent contextuality graphs [R. Ramanathan and P. Horodecki, Phys. Rev. Lett. 112, 040404 (2014)] is not sufficient for revealing state-independent contextuality.

  • Figure
  • Received 16 January 2015

DOI:https://doi.org/10.1103/PhysRevLett.114.250402

© 2015 American Physical Society

Authors & Affiliations

Adán Cabello1,*, Matthias Kleinmann2,†, and Costantino Budroni3,‡

  • 1Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
  • 2Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain
  • 3Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany

  • *adan@us.es
  • matthias_kleinmann001@ehu.eus
  • costantino.budroni@uni-siegen.de

See Also

Contextuality in Phase Space

Ali Asadian, Costantino Budroni, Frank E. S. Steinhoff, Peter Rabl, and Otfried Gühne
Phys. Rev. Lett. 114, 250403 (2015)

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Vol. 114, Iss. 25 — 26 June 2015

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