Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
Abstract
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 quantumerror-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.
Journal Title
Physical Review A (Atomic, Molecular and Optical Physics)
Volume
69
Issue
5
Copyright Statement
© 2004 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal link for access to the definitive, published version.
Subject
Mathematical Sciences
Physical Sciences
Chemical Sciences