Hastings' additivity counterexample via Dvoretzky's theorem
Quantum Physics
2011-06-07 v2 Functional Analysis
Abstract
The goal of this note is to show that Hastings' counterexample to the additivity of minimal output von Neumann entropy can be readily deduced from a sharp version of Dvoretzky's theorem on almost spherical sections of convex bodies.
Cite
@article{arxiv.1003.4925,
title = {Hastings' additivity counterexample via Dvoretzky's theorem},
author = {Guillaume Aubrun and Stanislaw Szarek and Elisabeth Werner},
journal= {arXiv preprint arXiv:1003.4925},
year = {2011}
}
Comments
12 pages; v.2: added references, Appendix A expanded to make the paper essentially self-contained