Generic Incomparability of Infinite-Dimensional Entangled States
Quantum Physics
2009-11-07 v2
Abstract
In support of a recent conjecture by Nielsen (1999), we prove that the phenomena of 'incomparable entanglement'--whereby, neither member of a pair of pure entangled states can be transformed into the other via local operations and classical communication (LOCC)--is a generic feature when the states at issue live in an infinite-dimensional Hilbert space.
Cite
@article{arxiv.quant-ph/0205063,
title = {Generic Incomparability of Infinite-Dimensional Entangled States},
author = {Rob Clifton and Brian Hepburn and Christian Wuthrich},
journal= {arXiv preprint arXiv:quant-ph/0205063},
year = {2009}
}
Comments
3 pages, final published version, minor adjustments