Trade-off Relations of Bell Violations among Pairwise Qubit Systems
Quantum Physics
2015-12-31 v1
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.
Keywords
Cite
@article{arxiv.1512.08848,
title = {Trade-off Relations of Bell Violations among Pairwise Qubit Systems},
author = {Hui-Hui Qin and Shao-Ming Fei and Xianqing Li-Jost},
journal= {arXiv preprint arXiv:1512.08848},
year = {2015}
}
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9 pages