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arXiv · 2303.16794

Quantifying Bell nonlocality of a pure two-qudit state via its entanglement

Elena R. Loubenets·Sergey Kuznetsov·Louis Hanotel
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Abstract

For the maximal violation of all Bell inequalities by an arbitrary pure two-qudit state of any dimension, we derive a new lower bound expressed via the concurrence of this pure state. This new lower bound and the upper bound on the maximal Bell violation, found in [J. Phys. A: Math. Theor. 55, 285301 (2022)] and also expressed via the concurrence, analytically quantify Bell nonlocality of a pure two-qudit state via its entanglement, in particular, prove explicitly that entanglement of a pure two-qudit state is necessary and sufficient for its Bell nonlocality. By re-visiting the pure two-qubit case, we also find and rigorously prove the new results on the correlation properties of an arbitrary pure two-qubit state.

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Elena R. Loubenets, Sergey Kuznetsov, Louis Hanotel. 2023-03-29. Quantifying Bell nonlocality of a pure two-qudit state via its entanglement. https://doi.org/10.1088/1751-8121%2Fad1b74

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