Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
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.
Physical Review A (Atomic, Molecular and Optical Physics)
Copyright 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.