0906.0279 (Hai-Long Zhao)

On the Implication of Bell's Probability Distribution and Proposed
Experiments of Quantum Measurement    [PDF]

Hai-Long Zhao

In the derivation of Bell's inequalities, Bell supposed that probability distribution is only a function of hidden variable. We point out that the true implication of the probability distribution of Bell's correlation function is the distribution of the joint measurement outcomes on the two sides. So it is a function of both hidden variable and settings. In this case, Bell's inequalities fail. Many researchers show that Bell's locality implies independence of two measurement events. We think that the measurements of EPR pairs may be dependent events, thus violation of Bell's inequalities cannot rule out the existence of local hidden variable. In order to explain the results of EPR-type experiments, we suppose that polarization entangled photon pair can be composed of two circularly or linearly polarized photons under appropriate conditions, and a couple of experiments of quantum measurement are proposed. The first uses delayed measurement on one of the EPR pair to demonstrate directly whether measurement on the other could have any non-local influence on it. Then several experiments are suggested to reveal the components of polarization entangled photon pair. The last one uses successive measurements on a pair of EPR photons to show that two photons with a same quantum state will behave in the same way under the same measuring condition.

View original: http://arxiv.org/abs/0906.0279