Video URL

https://pirsa.org/11050056

Composite systems and information processing

Barnum, H. (2011). Composite systems and information processing. Perimeter Institute for Theoretical Physics. https://pirsa.org/11050056

Barnum, Howard. Composite systems and information processing. Perimeter Institute for Theoretical Physics, May. 10, 2011, https://pirsa.org/11050056 

          @misc{ scivideos_PIRSA:11050056,
            doi = {10.48660/11050056},
            url = {https://pirsa.org/11050056},
            author = {Barnum, Howard},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Composite systems and information processing},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {may},
            note = {PIRSA:11050056 see, \url{https://scivideos.org/index.php/pirsa/11050056}}
          }

Howard Barnum University of New Mexico

DOI 10.48660/11050056
Source Repository PIRSA
Collection
Talk Type Conference
Subject

Abstract

The talk will focus primarily on recent work with Alexander Wilce in which we show that any locally tomographic composite of a qubit with any finite-dimensional homogeneous self-dual (equivalently Jordan-algebraic) system must be a standard finite-dimensional quantum (i.e. $C^*$-algebraic) system.  I may touch on work in progress with collaborators on composites of arbitrary homogeneous self-dual systems.  As motivation I will relate the properties of homogeneity and weak and strong self-duality to information processing phenomena, especially Schrooedingerian "steering" and teleportation (touching on earlier work with Wilce and Gaebler, as well as Barrett and Leifer).  If time permits I will explain the relation between some category-theoretic notions coming from the approach of Abramsky and Coecke and Selinger, notably compactness and dagger-compactness, to weak self-duality (work with Ross Duncan and Wilce).