Composite systems and information processing
APA
Barnum, H. (2011). Composite systems and information processing. Perimeter Institute. https://pirsa.org/11050056
MLA
Barnum, Howard. Composite systems and information processing. Perimeter Institute, May. 10, 2011, https://pirsa.org/11050056
BibTex
@misc{ pirsa_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}, year = {2011}, month = {may}, note = {PIRSA:11050056 see, \url{https://pirsa.org}} }
University of New Mexico
Talk Type
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).