Bell's Inequality and Entanglement in Qubits

Abstract

We propose an alternative evaluation of quantum entanglement by measuring the maximum violation of the Bell's inequality without performing a partial trace operation. This proposal is demonstrated by bridging the maximum violation of the Bell's inequality and the concurrence of a pure state in an $n$-qubit system, in which one subsystem only contains one qubit and the state is a linear combination of two product states. We apply this relation to the ground states of four qubits in the Wen-Plaquette model and show that they are maximally entangled. A topological entanglement entropy of the Wen-Plaquette model could be obtained by relating the upper bound of the maximum violation of the Bell's inequality to the concurrences of a pure state with respect to different bipartitions.

arXiv comment10 pages

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Cited by in corpus (6)

• Tripartite Entanglement and Quantum Correlation
• Maximally Entangled State and Bell's Inequality in Qubits
• Non-Locality$\ne$Quantum Entanglement
• A note on quantum Bell nonlocality and quantum entanglement for high dimensional quantum systems
• Quantum Entanglement and Spectral Form Factor
• Bell's Inequality, Generalized Concurrence and Entanglement in Qubits