%0 Journal Article
%T Entanglement measures and the Hilbert-Schmidt distance
%A Masanao Ozawa
%J Physics
%D 2000
%I arXiv
%R 10.1016/S0375-9601(00)00171-7
%X In order to construct a measure of entanglement on the basis of a ``distance'' between two states, it is one of desirable properties that the ``distance'' is nonincreasing under every completely positive trace preserving map. Contrary to a recent claim, this letter shows that the Hilbert-Schmidt distance does not have this property.
%U http://arxiv.org/abs/quant-ph/0002036v1