Towards Grothendieck Constants and LHV Models in Quantum Mechanics
Bobo Hua, Ting-Gui Zhang, Chunqin Zhou, Xianqing Li-Jost,and Shao-Ming Fei
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Submission date: 01. Oct. 2014
published in: Journal of physics / A, 48 (2015) 6, art-no. 065302
DOI number (of the published article): 10.1088/1751-8113/48/6/065302
PACS-Numbers: 03.65.Ud, 03.67.-a
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We adopt a continuous model to estimate the Grothendieck constants. An analytical formula to compute the lower bounds of Grothendieck constants has been explicitly derived for arbitrary orders, which improves previous bounds. Moreover, our lower bound of the Grothendieck constant of order three gives a refined bound of the threshold value for the nonlocality of the two-qubit Werner states.