MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Towards Grothendieck Constants and LHV Models in Quantum Mechanics

Bobo Hua, Ting-Gui Zhang, Chunqin Zhou, Xianqing Li-Jost and Shao-Ming Fei


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.

03.65.Ud, 03.67.-a

Related publications

2015 Repository Open Access
Bobo Hua, Ming Li, Ting-Gui Zhang, Chunqin Zhou, Xianqing Li-Jost and Shao-Ming Fei

Towards Grothendieck constants and LHV models in quantum mechanics

In: Journal of physics / A, 48 (2015) 6, p. 065302