Entanglement measures and the Hilbert–Schmidt distance
Jul 19, 20003 pages
Published in:
- Phys.Lett.A 268 (2000) 158-160
- Published: Jul 19, 2000
DOI:
- 10.1016/S0375-9601(00)00171-7 (publication)
Citations per year
Abstract: (Elsevier B.V.)
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.- 03.67.-a
- Entanglement
- Completely positive maps
- Operations
- Hilbert–Schmidt norm
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