Non-Locality$\ne$Quantum Entanglement

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$\ne$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.

38 pages, 10 figures, minor changes, reference added

References in corpus (3)

• Asymptotic properties of entanglement polytopes for large number of qubits
• Bell's Inequality and Entanglement in Qubits
• Tripartite Entanglement and Quantum Correlation

Cited by in corpus (1)

• Strength of the nonlocality of two-qubit entangled state and its applications