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Phys. Rev. A 69, 052330 (2004) [10 pages]

Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions

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A. J. Scott*
Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-1156, USA

Received 28 October 2003; published 27 May 2004

We investigate the average bipartite entanglement, over all possible divisions of a multipartite system, as a useful measure of multipartite entanglement. We expose a connection between such measures and quantum-error-correcting codes by deriving a formula relating the weight distribution of the code to the average entanglement of encoded states. The multipartite entangling power of quantum evolutions is also investigated.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.052330
DOI:
10.1103/PhysRevA.69.052330
PACS:
03.67.Mn

*Electronic address: ascott@phys.unm.edu