Entanglement quantification via nonlocality
- URL: http://arxiv.org/abs/2303.08407v1
- Date: Wed, 15 Mar 2023 07:16:46 GMT
- Title: Entanglement quantification via nonlocality
- Authors: Yuwei Zhu, Xingjian Zhang, Xiongfeng Ma
- Abstract summary: Nonlocality, manifested by the violation of Bell inequalities, indicates quantum entanglement in the underlying system.
We quantify entanglement using a family of generalized Clauser-Horne-Shimony-Holt-type Bell inequalities.
- Score: 1.3535770763481902
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Nonlocality, manifested by the violation of Bell inequalities, indicates
quantum entanglement in the underlying system. A natural question that arises
is how much entanglement is required for a given nonlocal behavior. In this
paper, we explore this question by quantifying entanglement using a family of
generalized Clauser-Horne-Shimony-Holt-type Bell inequalities. We focus on two
entanglement measures, entanglement of formation and one-way distillable
entanglement, which are related to entanglement dilution and distillation,
respectively. We also study the interplay among nonlocality, entanglement, and
measurement incompatibility. The result reveals that the relationship between
entanglement and measurement incompatibility is not simply a trade-off under a
fixed nonlocal behavior. In addition, we consider two realistic scenarios
non-maximally entangled states and Werner states and apply our entanglement
quantification results. By optimizing the Bell inequality for entanglement
estimation, we derive analytical results for the entanglement of formation.
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