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Q: Fachverband Quantenoptik und Photonik

Q 42: Poster: Quantum Optics and Photonics III

Q 42.17: Poster

Mittwoch, 2. März 2016, 16:30–19:00, Empore Lichthof

Compatibility and Noncontextuality for Imperfect Measurements — •Jannik Hoffmann, Costantino Budroni, and Otfried Gühne — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, 57068 Siegen, Germany

The notion of contextuality refers to impossibility of a classical description for each observable, which is independent of the measurement context, i.e., the set of compatible measurements done with it. Initially defined for commuting projective measurements [1,2], there have been different attempts to extend the notion of contextuality to deal with imperfect measurements and experimental errors. Here, we will focus on the error parameters introduced by Gühne et al. [3] and Kujala et al. [4] and investigate the questions of which errors can be detected and what is the relation with the original notion of noncontextuality. In particular, we discuss the case of sequential projective measurements, with and without noise, and more general measurements described by positive operator valued measures (POVMs) and instruments.

References

[1] S. Kochen and E. P. Specker, J. Math. Mech. 17, 59 (1967).
[2] A. A. Klyachko, M. A. Can, S. Binicioglu, and A. S. Shumovsky, Phys. Rev. Lett. 101, 020403 (2008).
[3] O. Gühne, M. Kleinmann, A. Cabello, J.-Å. Larsson, G. Kirchmair, F. Zähringer, R. Gerritsma, C.F. Roos, Phys. Rev. A 81, 022121 (2010).
[4] J. V. Kujala, E. N. Dzhafarov, J.-Å. Larsson Phys. Rev. Lett. 115, 150401 (2015).