Compatibility and noncontextuality for sequential measurements
O. G\"uhne, M. Kleinmann, A. Cabello, J.-A. Larsson, G. Kirchmair, F., Z\"ahringer, R. Gerritsma, C.F. Roos
TL;DR
This paper addresses the compatibility loophole in sequential measurement tests of noncontextual hidden variable models, proposing methods to rule out certain models despite experimental imperfections.
Contribution
It introduces approaches to overcome the compatibility loophole and analyzes experimental imperfections in a recent trapped ion experiment.
Findings
Methods to rule out extended noncontextual hidden variable models
Analysis of experimental imperfections in trapped ion experiments
Proposals to strengthen noncontextuality tests
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 which 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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