Abstract
We propose an alternative evaluation of quantum entanglement by measuring the maximum violation of the Bell’s inequality without information of the reduced density matrix of a system. This proposal is demonstrated by bridging the maximum violation of the Bell’s inequality and a 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 generalized concurrence of a pure state with respect to different bipartitions.
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Chang, PY., Chu, SK. & Ma, CT. Bell’s inequality and entanglement in qubits. J. High Energ. Phys. 2017, 100 (2017). https://doi.org/10.1007/JHEP09(2017)100
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DOI: https://doi.org/10.1007/JHEP09(2017)100