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Phys. Rev. Lett. 91, 037902 (2003) [4 pages]

Separable States Can Be Used To Distribute Entanglement

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T. S. Cubitt1, F. Verstraete1, W. Dür2, and J. I. Cirac1
1Max Planck Institut für Quantenoptik, Hans–Kopfermann Strasse 1, D-85748 Garching, Germany
2Sektion Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany

Received 21 February 2003; published 17 July 2003

We show that no entanglement is necessary to distribute entanglement; that is, two distant particles can be entangled by sending a third particle that is never entangled with the other two. Similarly, two particles can become entangled by continuous interaction with a highly mixed mediating particle that never itself becomes entangled. We also consider analogous properties of completely positive maps, in which the composition of two separable maps can create entanglement.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.037902
DOI:
10.1103/PhysRevLett.91.037902
PACS:
03.67.Mn, 03.65.Ud