Related papers: Non-Locality$\neq$Quantum Entanglement

Non-Locality$\neq$Quantum Entanglement

URL: http://arxiv.org/abs/2109.03871v2
Date: Sun, 16 Oct 2022 08:14:07 GMT
Title: Non-Locality$\neq$Quantum Entanglement
Authors: Xingyu Guo and Chen-Te Ma
Abstract summary: People expect that pure state entanglement is relevant to the non-locality. We consider all possible 3-qubit operators with a symmetric permutation. We conclude Non-Locality$neq$Quantum Entanglement''
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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