Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information

  • Uwe Franz

    Université de Franche-Comté, Besançon, France
  • Marius Junge

    University of Illinois at Urbana-Champaign, USA
  • Gilles Pisier

    Texas A&M University, College Station, USA
  • Quanhua Xu

    Université de Franche-Comté, Besançon, France

Abstract

Operator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator algebras and other areas of functional analysis, with classical and quantum probability, with noncommutative harmonic analysis, and, in particular, with quantum information theory.

Cite this article

Uwe Franz, Marius Junge, Gilles Pisier, Quanhua Xu, Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information. Oberwolfach Rep. 15 (2018), no. 2, pp. 1293–1379

DOI 10.4171/OWR/2018/22