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Trade-off relations of CHSH violations based on norms of Bloch vectors. (English) Zbl 1422.81043

Summary: By considering the norms of Bloch vectors, we present an improved trade-off relation of CHSH violations of pairwise qubits systems for any multi-qubit system, which leads to restrictions on the distribution of non-locality among the pairwise qubits systems. Detailed examples are computed to show that our result improves the trade-off relation in [H.-H. Qin, S.-M. Fei and X. Li-Jost, “Trade-off relations of Bell violations among pairwise qubit systems”, Phys. Rev. A (3) 92, No. 6, Article ID 062339, 4 p. (2015; doi:10.1103/PhysRevA.92.062339)]. Our bounds are given by the norms of the Bloch vectors. Thus the bounds give experimentally feasible way in describing trade-off relation of maximal violations of CHSH inequalities for any multipartite-qubit state.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
81P05 General and philosophical questions in quantum theory
81P16 Quantum state spaces, operational and probabilistic concepts
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