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arXiv · 1710.10493

Bell's Inequality, Generalized Concurrence and Entanglement in Qubits

Po-Yao Chang·Su-Kuan Chu·Chen-Te Ma
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Abstract

It is well known that the maximal violation of the Bell's inequality for a two-qubit system is related to the entanglement formation in terms of a concurrence. However, a generalization of this relation to an $n$-qubit state has not been found. In the paper, we demonstrate some extensions of the relation between the upper bound of the Bell's violation and a {\it generalized} concurrence in several $n$-qubit states. In particular, we show the upper bound of the Bell's violation can be expressed as a function of the generalized concurrence, if a state can be expressed in terms of two variables. We apply the relation to the Wen-Plaquette model and show that the topological entanglement entropy can be extracted from the maximal Bell's violation.

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Po-Yao Chang, Su-Kuan Chu, Chen-Te Ma. 2017-10-28. Bell's Inequality, Generalized Concurrence and Entanglement in Qubits. https://arxiv.org/abs/1710.10493

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