THE BELL THEOREM

Franck Laloë

Forster, Malcolm R.

Recently, Colbeck and Renner (2011) [arXiv:1005.5173] published a theorem that appears to be stronger than the Bell (1964) theorem in a way that is more significant than the other variations of Bell's theorem that have been published in the 50 years since Bell's theorem. Colbeck and Renner themselves do not relate their theorem directly to Bell's theorem, so here I present a version of the Colbeck-Renner theorem that makes the relationship explicit.

Jing‐Ling Chen, Hong-Yi Su, Chunfeng Wu +3 more

We investigate the connection between quantum no-cloning theorem and Bell's theorem. Designing some Bell's inequalities, we show that quantum no-cloning theorem can always be certified by Bell's theorem, and this fact in turn reflects that our physical world is essentially nonlocal.

Wayne C. Myrvold, Marco Genovese, Abner Shimony

Jiří Souček

The standard Bell’s theorem states that quantum mechanics (QM) cannot be locally realistic. Here we prove the strong Bell’s theorem which states that QM cannot be realistic. In the proof we use the Mermin’s form of the Bell’s theorem. Our result solves the old dilemma: non-locality or non-realism. Then we discuss the consequences of the strong Bell’s theorem, e.g. that no Bell non-locality of QM exists and that quantum theory is local and non-realistic.