Coalgebras, Models and Logics for Quantum Systems
APA
(2013). Coalgebras, Models and Logics for Quantum Systems. Perimeter Institute. https://pirsa.org/13090072
MLA
Coalgebras, Models and Logics for Quantum Systems. Perimeter Institute, Sep. 17, 2013, https://pirsa.org/13090072
BibTex
@misc{ pirsa_PIRSA:13090072, doi = {10.48660/13090072}, url = {https://pirsa.org/13090072}, author = {}, keywords = {Quantum Foundations}, language = {en}, title = {Coalgebras, Models and Logics for Quantum Systems}, publisher = {Perimeter Institute}, year = {2013}, month = {sep}, note = {PIRSA:13090072 see, \url{https://pirsa.org}} }
Collection
Talk Type
Subject
Abstract
Coalgebras
are a flexible tool commonly used in computer science to model abstract devices
and systems. Coalgebraic models also come with a natural notion of logics
for the systems being modelled. In this talk we will introduce coalgebras
and aim to illustrate their usefulness for modelling physical systems.
Extending earlier work of Abramsky, we will show how a weakening of the
usual morphisms for coalgebras provides the flexibility to model quantum
systems in an easy to motivate manner.
We
will then investigate how a natural extension to the usual notion of
coalgebraic logic can be used to produce logics for reasoning about
quantum systems and protocols. No prior knowledge of coalgebras will be assumed
for this talk, and the emphasis throughout will be on examples rather than
technical details.