Violation of generalized Bell inequality and its optimal measurement settings

Abstract

We provide a method to describe quantum nonlocality for $n$-qubit systems. By treating the correlation function as an $n$-index tensor, we derive a generalized Bell inequality. Taking generalized Greenberger-Horne-Zeilinger (GHZ) state for example, we calculate quantum prediction under a series of measurement settings involving various angle parameters. We reveal the exact relationship between quantum prediction and the angle parameters. We show that there exists a set of optimal measurement settings and find the corresponding maximal quantum prediction for $n$-qubit generalized GHZ states. As an example, we consider an interesting situation involving only two angle parameters. Finally, we obtain a criterion for the violation of the generalized Bell inequality.

11 pages, 2 figures

References in corpus (16)

• Experimental ten-photon entanglement
• Multiphoton Quantum Optics and Quantum State Engineering
• Geometry of the set of quantum correlations
• Experimental observation of an entire family of four-photon entangled states
• Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
• All entangled pure states violate a single Bell's inequality
• Generalized Hardy's Paradox
• Observation of Spatial Quantum Correlations in the Macroscopic Regime
• Probe R-parity Violating Supersymmetry Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B_s\to {\ell }^{+}{\ell }^{-}$ Decays
• Generation of a High-Visibility Four-Photon Entangled State and Realization of a Four-Party Quantum Communication Complexity Scenario
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Nonlocality and Entanglement for Symmetric States
• Experimentally generating and tuning robust entanglement between photonic qubits
• Quantum correlations among optical and vibrational quanta
• CHSH type Bell inequalities involving a party with two or three local binary settings
• Connection between Measurement Disturbance Relation and Multipartite Quantum Correlation

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