Entanglement measures and the Hilbert-Schmidt distance
Quantum Physics
2009-11-06 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0002036,
title = {Entanglement measures and the Hilbert-Schmidt distance},
author = {Masanao Ozawa},
journal= {arXiv preprint arXiv:quant-ph/0002036},
year = {2009}
}
Comments
5 pages, LaTeX