KOCHEN–SPECKER THEOREM AND EXPERIMENTAL TEST ON HIDDEN VARIABLES

Unconditional no-hidden-variables theorem

We present ultimate version of no-hidden-variables theorem. We shall derive a proposition under the existence of the Bloch sphere in a single spin-1/2 system. The existence of a single classical probability space for measurement outcome within the formalism of von Neumann’s projective measurement cannot coexist with the proposition. Namely, we have to give up the existence of such a classical p...

Bell's Theorem without Hidden Variables

Bell's Theorem without Hidden Variables *

Experiments motivated by Bell’s theorem suggest that information is sometimes transferred over spacelike intervals, and claims have been made that the results of these experiments do have this implication. However, the theoretical basis for such claims is usually taken to be Bell’s Theorem, which shows only that if certain predictions of quantum theory are correct, and certain hidden-variables ...

A Bell - type Theorem Without Hidden Variables ∗

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...

Experimental Test of Local Hidden-Variable Theories

We have measured the linear polarization correlation between the two photons from the 7 S~-6 P~-6 So cascade of Hg . The results were used to evaluate Freedman's version of the Bell inequality, 5 ~0. Our result is 6~+=+0.046+0.014, in clear violation of the inequality and in excellent agreement with the quantum mechanical prediction, 6Q+ =+ 0.044 +0.007. An important feature of the experiment w...