Quantifying necessary quantum resources for nonlocality

• URL: http://arxiv.org/abs/2102.08722v1
• Date: Wed, 17 Feb 2021 12:23:37 GMT
• Title: Quantifying necessary quantum resources for nonlocality
• Authors: Lucas Tendick, Hermann Kampermann, Dagmar Bru{\ss}
• Abstract summary: Nonlocality is one of the most important resources for quantum information protocols. We quantify the minimal purity to achieve a certain Bell value for any Bell operator.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 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.

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