Composite systems and information processing


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


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


          @misc{ pirsa_11050056,
            doi = {},
            url = {https://pirsa.org/11050056},
            author = {Barnum, Howard},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Composite systems and information processing},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {may},
            note = {PIRSA:11050056 see, \url{https://pirsa.org}}


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).