Quantum Mathematical Integrated Information Theory: From the Classical Version
Summary
AI-generated from the abstractThis paper develops a quantum version of mathematical integrated information theory (IIT), which originally quantifies consciousness. It uses a functor mapping from a topological category to a linear category of Hilbert spaces indexed by topological objects. Conditional density matrices define repertoires. The work also examines the relationship between consciousness and quantum entanglement.
Study at a glance
| Characteristics | Theoretical or philosophical paper |
|---|---|
| Key finding | Proposes a quantum formulation of mathematical integrated information theory using categorical functors and conditional density matrices, and discusses the connection between consciousness and entanglement. |
Abstract
This paper is an attempt to give a Quantum theory of Mathematical integrated information theory which is mathematical version of integrated information theory by Masafumi Oizumi, Larissa Albantakis, Giulio Tononi [2]. Using the definitions of Classical Mathematical Integrated Information Theory [1]. And considering that the Quantum theory is given by the functor which maps from a category whose objects is topology to a linear category whose objects are Hilbert spaces indexed with the objects from previous category. Also, we will be using the definition of conditional density matrix to define repertoire. We will be also discussing the relationship between consciousness and entanglement.