Entanglement distillation from Greenberger-Horne-Zeilinger shares
Quantum Physics
2017-11-10 v2 Computational Complexity
Mathematical Physics
math.MP
Abstract
We study the problem of converting a product of Greenberger-Horne-Zeilinger (GHZ) states shared by subsets of several parties in an arbitrary way into GHZ states shared by every party. Our result is that if SLOCC transformations are allowed, then the best asymptotic rate is the minimum of bipartite log-ranks of the initial state. This generalizes a result by Strassen on the asymptotic subrank of the matrix multiplication tensor.
Keywords
Cite
@article{arxiv.1603.03964,
title = {Entanglement distillation from Greenberger-Horne-Zeilinger shares},
author = {Péter Vrana and Matthias Christandl},
journal= {arXiv preprint arXiv:1603.03964},
year = {2017}
}
Comments
8 pages, v2: minor corrections