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

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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.