Non-locality ≠ quantum entanglement

Abstract The unique entanglement measure is concurrence in a two-qubit pure state. maximum violation of Bell’s inequality monotonically increasing for this quantity. Therefore, people expect that state relevant to the non-locality. For justification, we extend study three qubits. We consider all possible three-qubit operators with symmetric permutation. When only considering one measure, numerical result contradicts expectation. conclude ‘non-locality ≠ quantum entanglement’. propose generalized R -matrix or correlation matrix new diagnosis entanglement. then demonstrate evidence by restoring result. PACS numbers: 00.00, 20.00, 42.10