Experimental test of Bell's inequalities
using time-varying analyzers.
We want to complete this subsection with some remarks on Bell's inequalities
. The reader should be reminded that frequently quantum correlations are defined by means of these inequalities.
Roger, "Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell's inequalities
," Physical Review Letters, vol.
Aspect, Alain, Jean Dalibard and Gerard Roger, 'Experimental Test of Bell's Inequalities
Using Time-Varying Analyzers', Phys.
In chapter 4, Mansfield describes the Einstein, Podolsky, and Rosen (EPR) thought experiment, Bell's inequalities
, and provides a fairly clear explanation of the phenomenon of entanglement (2) that follows from these, which he links to the concepts of the "Middle Way" and "emptiness." Perhaps the most telling statement is that because quantum theory seems to tell us that particles do not have definite properties until measured, and the measurements inexplicably affect each other at a distance, "we can clearly see that the mind project[s] independent existence into the particles, but the experimental violation of Bell's Inequalities
shows that nature refuses to accept the projection" (p.
In experiments using trapped, laser-cooled ions, NIST researchers in Boulder have demonstrated a violation of Bell's inequalities
. These mathematical inequalities provide a basis for experimental tests whose results can distinguish between quantum mechanics and local realistic theories.
"Experimental Realization of the Einstein-Podolsky-Rosen Gedanken Experiment: A New Violation of Bell's Inequalities
," Physical Review Letters (1982) 49: 91.
Therefore the violation of Bell's inequalities
, occurring when the probabilities of the local stochastic hidden variable theory are replaced by the QM probabilities, does not concern separability in the Howard sense (i.e.
Bell*locality and autonomy together entail Bell's inequalities
, which are violated in experiments.(1) So we have to give up Bell*locality or autonomy.
Experimental realization of Einstein-Podolski-Rosen-Bohm gedanken experiment; anew violation of Bell's inequalities
. Physical Review Letters, 1982, v.