Hannover 2010 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 4: Quantum Information: Concepts and Methods I
Q 4.3: Vortrag
Montag, 8. März 2010, 14:30–14:45, E 214
Almost compatible observables in quantum tests of contextuality — Otfried Gühne1,2, •Matthias Kleinmann1, Adán Cabello4, Jan-Ake Larsson5, Gerhard Kirchmair1,3, Florian Zähringer1,3, Rene Gerritsma1,3, Rainer Blatt1,3, and Christian Roos1,3 — 1Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Innsbruck, Austria — 2Institut für Theoretische Physik, Universität Innsbruck, Austria — 3Institut für Experimentalphysik, Universität Innsbruck, Austria — 4Departamento de Física Aplicada II, Universidad de Sevilla, Spain — 5Institutionen för Systemteknik och Matematiska Institutionen, Linköpings Universitet, Sweden
The Kochen-Specker-Theorem proves that in a hidden variable description of a quantum system, the value of a particular property (observable) depends on the context in which the value is to be revealed. The conflict here is between the hidden variable approach and the theory of quantum mechanics.
In order to establish this conflict as the inability to employ a hidden variable description of an actual experiment, it has been suggested to extend the notion of non-contextuality to sequential measurements of compatible observables. However, in an experimental implementation the requirement of perfect compatibility cannot be reached. We show that this “compatibility loophole” can be addressed and that a recent experiment using tapped ions [G. Kirchmair et al., Nature (London) 460, 494 (2009)] then excludes a large class of non-contextual hidden variable models.