Barnum, H. (2011). Composite systems and information processing. Perimeter Institute for Theoretical Physics. https://pirsa.org/11050056
MLA
Barnum, Howard. Composite systems and information processing. Perimeter Institute for Theoretical Physics, May. 10, 2011, https://pirsa.org/11050056
BibTex
@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}}
}
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).