DETECTING EINSTEIN-PODOLSKY-ROSEN STEERING FOR CONTINUOUS VARIABLE WAVEFUNCTIONS.

By use of Reid's criterion and the entropic criterion, we investigate the Einstein-Podolsky-Rosen (EPR) steering for some entangled continuous variable wavefunctions. We find that some entangled states that violate Bell's inequality will not violate Reid's EPR inequality nor the entropic inequality. This implies that neither criterion gives a necessary and sufficient condition to detect the EPR steering. [ABSTRACT FROM AUTHOR]