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Q: Fachverband Quantenoptik und Photonik

Q 11: Quantum Information (Concepts and Methods) I

Q 11.1: Vortrag

Montag, 11. März 2019, 14:00–14:15, S HS 001 Chemie

Characterizing the structure of temporal quantum correlations — •Yuanyuan Mao, Cornelia Spee, Zhen-Peng Xu, and Otfried Gühne — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany

Subjecting a single system to a sequence of measurements of certain length, with the possible measurements selected from a given set, one obtains a probability distribution which encodes temporal correlations. These correlations can be used for example to illustrate the distinction between quantum and classical theories through Leggett-Garg or Kochen-Specker inequalities. In this work, we investigate the structure of the set of temporal correlations generated by quantum systems of fixed dimension. For given scenarios, firstly we show that the sets of correlations are generally non-convex for small-dimensional systems. We then give the minimal dimensions needed to obtain a convex set of correlations and derive several nonlinear inequalities to detect the non-convexity for systems with smaller dimensions.