Hastings' additivity counterexample via Dvoretzky's theorem

Physics – Quantum Physics

Scientific paper

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12 pages; v.2: added references, Appendix A expanded to make the paper essentially self-contained

Scientific paper

10.1007/s00220-010-1172-y

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.

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