General construction of noiseless networks detecting entanglement with the help of linear maps
Abstract
We present the general scheme for construction of noiseless networks detecting entanglement with the help of linear, hermiticity-preserving maps. We show how to apply the method to detect entanglement of an unknown state without its prior reconstruction. In particular, we prove there always exists noiseless network detecting entanglement with the help of positive, but not completely positive maps. Then the generalization of the method to the case of entanglement detection with arbitrary, not necessarily hermiticity-preserving, linear contractions on product states is presented.
- Publication:
-
Physical Review A
- Pub Date:
- November 2006
- DOI:
- 10.1103/PhysRevA.74.052323
- arXiv:
- arXiv:quant-ph/0603015
- Bibcode:
- 2006PhRvA..74e2323H
- Keywords:
-
- 03.67.Mn;
- 89.75.Hc;
- Entanglement production characterization and manipulation;
- Networks and genealogical trees;
- Quantum Physics
- E-Print:
- Revtex, 6 pages, 3 figures, published version