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The Essence of More Nonlocality with Less Entanglement in Bell Tests

谭勇刚, Liu Qiang, 胡要花 +1 more

In this paper,we will explore the essence of the phenomenon that state with less entanglement may generate greater Bell violation in the two-qubit Bell tests with CH-type inequalities,i.e.,more nonlocality with less entanglement.We will show that this interesting but counterintuitive phenomenon is caused by the rotational asymmetry of the nonmaximally entangled state in the measurement plane.This asymmetry allows the both-side detection probabilities and the one-side detection probabilities obtain their maximal values with nonmaximally entangled state.But the maximal Bell violation may not always happen on nonmaximally entangled state,because these probabilities will compete with each other,and the Bell violation behaves diferently for various CH-type inequalities.In this paper,we will explore the essence of the phenomenon that state with less entanglement may generate greater Bell violation in the two-qubit Bell tests with CH-type inequalities,i.e.,more nonlocality with less entanglement.We will show that this interesting but counterintuitive phenomenon is caused by the rotational asymmetry of the nonmaximally entangled state in the measurement plane.This asymmetry allows the both-side detection probabilities and the one-side detection probabilities obtain their maximal values with nonmaximally entangled state.But the maximal Bell violation may not always happen on nonmaximally entangled state,because these probabilities will compete with each other,and the Bell violation behaves diferently for various CH-type inequalities.

理论物理通讯：英文版Jan 1, 20140 citations

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The Essence of More Nonlocality with Less Entanglement in Bell Tests

Yong-Gang Tan, Qiang Liu, Yao-Hua Hu +1 more

In this paper, we will explore the essence of the phenomenon that state with less entanglement may generate greater Bell violation in the two-qubit Bell tests with CH-type inequalities, i.e., more nonlocality with less entanglement. We will show that this interesting but counterintuitive phenomenon is caused by the rotational asymmetry of the nonmaximally entangled state in the measurement plane. This asymmetry allows the both-side detection probabilities and the one-side detection probabilities obtain their maximal values with nonmaximally entangled state. But the maximal Bell violation may not always happen on nonmaximally entangled state, because these probabilities will compete with each other, and the Bell violation behaves differently for various CH-type inequalities.In this paper, we will explore the essence of the phenomenon that state with less entanglement may generate greater Bell violation in the two-qubit Bell tests with CH-type inequalities, i.e., more nonlocality with less entanglement. We will show that this interesting but counterintuitive phenomenon is caused by the rotational asymmetry of the nonmaximally entangled state in the measurement plane. This asymmetry allows the both-side detection probabilities and the one-side detection probabilities obtain their maximal values with nonmaximally entangled state. But the maximal Bell violation may not always happen on nonmaximally entangled state, because these probabilities will compete with each other, and the Bell violation behaves differently for various CH-type inequalities.

Communications in Theoretical PhysicsJan 1, 20141 citation

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