Entanglement measures and the Hilbert-Schmidt distance

Details Entanglement measures and the Hilbert-Schmidt distance Entanglement measures and the Hilbert-Schmidt distance

2000-02-13

arxiv.org/abs/quant-ph/0002036v1

Phys. Lett. A 268 (2000) 158

Physics

Quantum Physics

5 pages, LaTeX

Scientific paper

10.1016/S0375-9601(00)00171-7

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.

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