Entanglement measures and the Hilbert-Schmidt distance

Preprint

13 February 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0002036

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.

Keywords

HILBERT SCHMIDT DISTANCE
MEASURE OF ENTANGLEMENT
SCHMIDT DISTANCE
PRESERVING MAP
LETTER SHOWS
PROPERTY
CLAIM

All Related Versions

Version 1, 2000-02-13, ArXiv
Published version: Physics Letters A, 268 (3), 158.

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