ClauserHorneSh

ClauserHorneSh refers to a theoretical framework in quantum mechanics that explores the implications of Bell's theorem. Developed by John Clauser, Michael Horne, and others, it provides a mathematical set of inequalities that, if violated by experimental results, would demonstrate that local hidden variable theories are inconsistent with quantum mechanics.

Bell's theorem, introduced by John Stewart Bell in 1964, posits that if the predictions of quantum mechanics are correct, then certain local hidden variable theories, which assume that physical properties have definite values even when not observed and that influences cannot travel faster than light, must be incorrect. The Clauser-Horne-Sh inequalities are specific mathematical formulations derived from these ideas.

These inequalities set limits on the correlations that can be observed between measurements performed on entangled quantum systems, assuming locality and realism. If experiments consistently show correlations that exceed these limits, it provides strong evidence against local hidden variable descriptions of reality.

The Clauser-Horne-Sh inequalities, along with subsequent refinements like the CHSH inequality (Clauser, Horne, Shimony, Holt), have been the basis for numerous experimental tests. These experiments, starting with those conducted by Clauser and others, have repeatedly violated these inequalities, providing compelling evidence for the non-local nature of quantum mechanics and ruling out a significant class of local hidden variable theories. The ongoing research in this area continues to probe the foundations of quantum theory.