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The Mathematical Structure of Integrated Information Theory
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The Mathematical Structure of Integrated Information Theory
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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, such as the brain, in a particular state. In this contribution, we propound the mathematical structure of the theory, separating the essentials from auxiliary formal tools. We provide a definition of a generalized IIT which has IIT 3.0 of Tononi et. al., as well as the Quantum IIT introduced by Zanardi et. al. as special cases. This provides an axiomatic definition of the theory which may serve as the starting point for future formal investigations and as an introduction suitable for researchers with a formal background.
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Cited by 1 Pith paper
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Quantum Superpositions of Conscious States in a Minimal Integrated Information Model
A minimal IIT-based quantum circuit shows that Lindblad collapse dynamics require proliferation of operators to tie rates solely to differences in conscious states.
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