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Entanglement Theory Quantum Correlations Quantum Foundations

Trade-off Relations of Bell Violations among Pairwise Qubit Systems

arXiv
Authors: Hui-Hui Qin, Shao-Ming Fei, Xianqing Li-Jost

Year

2015

Paper ID

4361

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

We investigate the nonlocality distributions among multiqubit systems based on the maximal violations of the Clauser-Horne-Shimony-Holt (CHSH) inequality of reduced pairwise qubit systems. We present a trade-off relation satisfied by these maximal violations, which gives rise to restrictions on the distribution of nonlocality among the subqubit systems. For a three-qubit system, it is impossible that all pairs of qubits violate the CHSH inequality, and once a pair of qubits violates the CHSH inequality maximally, the other two pairs of qubits must both obey the CHSH inequality. Detailed examples are given to illustrate the trade-off relations, and the trade-off relations are generalized to arbitrary multiqubit systems.

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  • We investigate the nonlocality distributions among multiqubit systems based on the maximal violations of the Clauser-Horne-Shimony-Holt (CHSH) inequality of reduced pairwise...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1512.08848 [2] arXiv https://arxiv.org/abs/1512.08848 [3] Publisher https://arxiv.org/abs/1512.08848

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