9 citations · 18 across the 2 of their papers we have counts for
6 papers
The Mathematical Structure of Integrated Information Theory
Johannes Kleiner, Sean Tull
Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a physical system, suc…
Integrated Information in Process Theories
Sean Tull, Johannes Kleiner
We demonstrate how the key notions of Tononi et al.'s Integrated Information Theory (IIT) can be studied within the simple graphical language of process theories, i.e. symmetric mo…
Deriving Dagger Compactness
Sean Tull
Dagger compact structure is a common assumption in the study of physical process theories, but lacks a clear interpretation. Here we derive dagger compactness from more operational…
Monoidal characterisation of groupoids and connectors
Marino Gran, Chris Heunen, Sean Tull
We study internal structures in regular categories using monoidal methods. Groupoids in a regular Goursat category can equivalently be described as special dagger Frobenius monoids…
Categorical Operational Physics
Sean Tull
Many insights into the quantum world can be found by studying it from amongst more general operational theories of physics. In this thesis, we develop an approach to the study of s…
Operational Theories of Physics as Categories
Sean Tull
We introduce a new approach to the study of operational theories of physics using category theory. We define a generalisation of the (causal) operational-probabilistic theories of…