Compatibility and noncontextuality for sequential measurements

Otfried Gühne, Matthias Kleinmann, Adán Cabello, Jan-Åke Larsson, Gerhard Kirchmair, Florian Zähringer, Rene Gerritsma, and Christian F. Roos
Phys. Rev. A 81, 022121 – Published 25 February 2010

Abstract

A basic assumption behind the inequalities used for testing noncontextual hidden variable models is that the observables measured on the same individual system are perfectly compatible. However, compatibility is not perfect in actual experiments using sequential measurements. We discuss the resulting “compatibility loophole” and present several methods to rule out certain hidden variable models that obey a kind of extended noncontextuality. Finally, we present a detailed analysis of experimental imperfections in a recent trapped-ion experiment and apply our analysis to that case.

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  • Received 12 January 2010

DOI:https://doi.org/10.1103/PhysRevA.81.022121

©2010 American Physical Society

Authors & Affiliations

Otfried Gühne1,2, Matthias Kleinmann1, Adán Cabello3, Jan-Åke Larsson4, Gerhard Kirchmair1,5, Florian Zähringer1,5, Rene Gerritsma1,5, and Christian F. Roos1,5

  • 1Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21A, A-6020 Innsbruck, Austria
  • 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria
  • 3Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
  • 4Institutionen för Systemteknik och Matematiska Institutionen, Linköpings Universitet, SE-581 83 Linköping, Sweden
  • 5Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria

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Issue

Vol. 81, Iss. 2 — February 2010

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