Bound entangled states violate a non-symmetric local uncertainty relation

Abstract

As a consequence of having a positive partial transpose, bound entangled states lack many of the properties otherwise associated with entanglement. It is therefore interesting to identify properties that distinguish bound entangled states from separable states. In this paper, it is shown that some bound entangled states violate a non-symmetric class of local uncertainty relations (quant-ph/0212090). This result indicates that the asymmetry of non-classical correlations may be a characteristic feature of bound entanglement.