Compatibility and noncontextuality for sequential measurements

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.
Original Publication:Otfried Guehne, Matthias Kleinmann, Adan Cabello, Jan-Åke Larsson, Gerhard Kirchmair, Florian Zaehringer, Rene Gerritsma and Christian F Roos, Compatibility and noncontextuality for sequential measurements, 2010, PHYSICAL REVIEW A, (81), 2, 022121.http://dx.doi.org/10.1103/PhysRevA.81.022121Copyright: American Physical Societyhttp://www.aps.org