Entanglement measure and quantum violation of Bell-type inequality for a family of four-qubit entangled states

Abstract

By calculating entanglement measures and quantum violation of Bell-type inequality, we reveal the relationship between entanglement measure and the amount of quantum violation for a family of four-qubit entangled states. It has been demonstrated that the Bell-type inequality is completely violated by these four-qubit entangled states. The plot of entanglement measure as a function of the expectation value of Bell operator shows that entanglement measure first decreases and then increases smoothly with increasing quantum violation.

5 pages, 3 figures

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Cited by in corpus (5)

• Strong quantum nonlocality without entanglement in $n$-partite system with even $n$
• Orthogonal product sets with strong quantum nonlocality on plane structure
• Strong quantum nonlocality with genuine entanglement in an $N$-qutrit system
• Strong quantum nonlocality without entanglement in every $(n-1)$-partition
• Strongest quantum nonlocality in $N$-partite systems