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Q: Fachverband Quantenoptik und Photonik

Q 11: Quantum Information (joint session QI/Q)

Q 11.5: Poster

Wednesday, September 22, 2021, 16:30–18:30, P

Quantifying necessary quantum resources for nonlocality — •Lucas Tendick, Hermann Kampermann, and Dagmar Bruß — Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany

Nonlocality is one of the most important resources for quantum information protocols. The observation of nonlocal correlations in a Bell experiment is the result of appropriately chosen measurements and quantum states. We study quantitatively which quantum resources within the state and measurements are needed to achieve a given degree of nonlocality by exploiting the hierarchical structure of the resources. More explicitly, we quantify the minimal purity to achieve a certain Bell value for any Bell operator. Since purity is the most fundamental resource of a quantum state, this enables us also to quantify the necessary coherence, discord, and entanglement for a given violation of two-qubit correlation inequalities. Our results shine new light on the CHSH inequality by showing that for a fixed Bell violation an increase in the measurement resources does not always lead to a decrease of the minimal state resources.