Towards Grothendieck constants and LHV models in quantum mechanics

Bobo Hua, Ming Li, Tinggui Zhang, Chunqin Zhou, Xianqing Li-Jost, Shao-Ming Fei
2015 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/48/6/065302 fatcat:3gho4o6tjrg4jba2ndczbiepiq