Building on the Pusey-Barrett-Rudolph theorem, we derive a no-go theorem for a vast class of deterministic hidden-variables theories, including those consistent on their targeted domain. The strength of this result throws doubt on seemingly natural assumptions (like the "preparation independence" of the Pusey-Barrett-Rudolph theorem) about how "real states" of subsystems compose for joint syste...

A probabilistic Bell’s theorem on a Bell basis is presented by using local hidden variable theories. It not only has a similar logical structure to Bell’s proof of the original Bell’s theorem with inequalities, but also allows us to derive an experimentally testable probabilistic equality, which is violated by quantum mechanics in 50%. Our proof is not only simple mathematically but also can be...

The famous book of Bell, Speakable and Unspeakable in Quantum Mechanics, has been re-released last year (Bell, 2004). I feel extremely honored to be asked by Studies to write an essay-review on it. The works of Bell had an enormous influence on my scientific life. The books covers quite a range of topics, but undoubtedly everyone would agree that it centers around the most outstanding input of ...

It is shown that no theory that satisfies certain premises can exclude faster-than-light influences. The premises include neither the existence of hidden variables, nor counterfactual definiteness, nor any premise that effectively entails the general existence of outcomes of unperformed local measurements. All the premises are compatible with Copenhagen philosophy, and the principles and predic...

We describe a strictly classical dice game, which emulates the main features of the EPR experiment, including violation of Bell’s inequalities. Therefore, the standard interpretation that Bell’s theorem provides necessary conditions for ‘local realism’ is disproved. PACS 03.65.Ud (Entanglement and quantum non locality)

It is shown how a proof of the Bell-Kochen-Specker (BKS) theorem given by Kernaghan and Peres can be experimentally realized using a scheme of measurements derived from a related proof of the same theorem by Mermin. It is also pointed out that if this BKS experiment is carried out independently by two distant observers who repeatedly make measurements on a specially correlated state of six qubi...

For all Einstein-Podolsky-Rosen-type experiments on deterministic systems the Bell inequality holds, unless non-local interactions exist between certain parts of the setup. Here we show that in nonlinear systems the Bell inequality can be violated by non-local effects that are arbitrarily weak. Then we show that the quantum result of the existing Einstein-PodolskyRosen-type experiments can be r...

Bell’s theorem admits several interpretations or ‘solutions’, the standard interpretation being ‘indeterminism’, a next one ‘nonlocality’. In this article two further solutions are investigated, termed here ‘superdeterminism’ and ‘supercorrelation’. The former is especially interesting for philosophical reasons, if only because it is always rejected on the basis of extra-physical arguments. The...

It is shown how a proof of the Bell-Kochen-Specker (BKS) theorem given by Kernaghan and Peres can be experimentally realized using a scheme of measurements derived from a related proof of the same theorem by Mermin. It is also pointed out that if this BKS experiment is carried out independently by two distant observers who repeatedly make measurements on a specially correlated state of six qubi...

The Bell theorem for a pair of two-state systems in a singlet state is formulated for the entire range of measurement settings. Typeset using REVTEX