Article

Communications in Mathematical Physics

, Volume 305, Issue 1, pp 85-97

First online:

Hastings’s Additivity Counterexample via Dvoretzky’s Theorem

  • Guillaume AubrunAffiliated withInstitut Camille Jordan, Université Claude Bernard Lyon 1
  • , Stanisław SzarekAffiliated withEquipe d’Analyse Fonctionnelle, Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie-Paris 6Department of Mathematics, Case Western Reserve University Email author 
  • , Elisabeth WernerAffiliated withDepartment of Mathematics, Case Western Reserve UniversityUniversité de Lille 1, UFR de Mathématique

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

The goal of this note is to show that Hastings’s counterexample to the additivity of minimal output von Neumann entropy can be readily deduced from a sharp version of Dvoretzky’s theorem.