Experimental violation of a Bell's inequality with efficient detection

Abstract

Local realism is the idea that objects have de®nite properties whether or not they are measured, and that measurements of these properties are not affected by events taking place suf®ciently far away1. Einstein, Podolsky and Rosen2 used these reasonable assumptions to conclude that quantum mechanics is incomplete. Starting in 1965, Bell and others constructed mathematical inequalities whereby experimental tests could distinguish between quantum mechanics and local realistic theories1,3±5. Many experiments1,6±15 have since been done that are consistent with quantum mechanics and inconsistent with local realism. But these conclusions remain the subject of considerable interest and debate, and experiments are still being re®ned to overcome `loopholes' that might allow a local realistic interpretation. Here we have measured correlations in the classical properties of massive entangled particles (9Be+ ions): these correlations violate a form of Bell's inequality. Our measured value of the appropriate Bell's `signal' is 2:25 6 0:03, whereas a value of 2 is the maximum allowed by local realistic theories of nature. In contrast to previous measurements with massive particles, this violation of Bell's inequality was obtained by use of a complete set of measurements. Moreover, the high detection ef®ciency of our apparatus eliminates the so-called `detection' loophole.