Berlin 2014 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 64: Quantum information: Concepts and methods V
Q 64.7: Vortrag
Freitag, 21. März 2014, 15:30–15:45, Kinosaal
Bounding Temporal Quantum Correlations — •Costantino Budroni1, Tobias Moroder1, Matthias Kleinmann1, Otfried Gühne1, and Clive Emary2 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, SIegen, Germany — 2Department of Physics and Mathematics, University of Hull, Kingston-upon-Hull, United Kingdom
Sequential measurements on a single particle play an important role in experimental tests of the Kochen-Specker theorem and in Leggett-Garg inequalities. We provide a general method to analyze temporal quantum correlations, which allows to compute the maximal correlations in quantum mechanics. For the case of dichotomic measurements, we present the full characterization of temporal correlations in the simplest Leggett-Garg scenario as well as in the most fundamental proof of the Kochen-Specker theorem.
Moreover, the above method shows that the quantum bound for temporal correlations in a sequential measurement scenario strongly depends on the number of levels that can be accessed by the measurement apparatus via projective measurements. For the simplest Leggett-Garg scenario, we provide exact bounds for small N, that exceed the known bound for the Leggett-Garg inequality, and show that in the limit of an infinite number of levels the Leggett-Garg inequality can be violated up to its algebraic maximum.