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arXiv · 2109.03871

Non-Locality$\neq$Quantum Entanglement

Xingyu Guo·Chen-Te Ma
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Abstract

The unique entanglement measure is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the non-locality. For justification, we extend the study to three qubits. We consider all possible 3-qubit operators with a symmetric permutation. When only considering one entanglement measure, the numerical result contradicts expectation. Therefore, we conclude ``Non-Locality$\neq$Quantum Entanglement''. We propose the generalized $R$-matrix or correlation matrix for the new diagnosis of Quantum Entanglement. We then demonstrate the evidence by restoring the monotonically increasing result.

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Xingyu Guo, Chen-Te Ma. 2022-10-16. Non-Locality$\neq$Quantum Entanglement. https://doi.org/10.1088/1742-5468%2Fac9bf0

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