Hastings' additivity counterexample via Dvoretzky's theorem
arXiv:1003.4925 · doi:10.1007/s00220-010-1172-y
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.
12 pages; v.2: added references, Appendix A expanded to make the paper essentially self-contained