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Computing the Integrated Information of a Quantum Mechanism.

Larissa Albantakis1,2, Robert Prentner2,3, Ian Durham2,4

  • 1Department of Psychiatry, University of Wisconsin-Madison, Madison, WI 53719, USA.

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Summary
This summary is machine-generated.

Integrated Information Theory (IIT) is extended to quantum systems, evaluating integrated information (φ) for quantum logic gates. This research bridges quantum mechanics and consciousness theories by analyzing quantum entanglement and information.

Keywords:
causal analysiscausationentanglement structuremultivariate interactionquantum information theory

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Area of Science:

  • Theoretical Physics
  • Quantum Information Theory
  • Philosophy of Mind

Background:

  • Integrated Information Theory (IIT) offers a framework for understanding consciousness through causal information.
  • The compatibility of IIT with quantum mechanics, a fundamental theory of microphysics, remains an open question.
  • Existing IIT formalisms are primarily designed for classical systems.

Purpose of the Study:

  • To extend the latest Integrated Information Theory (IIT) formalism to quantum systems.
  • To evaluate the mechanism integrated information (φ) for discrete, finite-dimensional quantum systems, such as quantum logic gates.
  • To explore the implications for understanding the link between consciousness, causation, and quantum physics.

Main Methods:

  • Translated a novel measure of intrinsic information into a density matrix formulation.
  • Extended the concept of conditional independence to incorporate quantum entanglement.
  • Applied the extended IIT formalism to analyze quantum systems and their compositional causal information.

Main Results:

  • Developed a method to calculate integrated information (φ) for quantum systems.
  • Demonstrated how IIT analysis can reveal insights into the structure of composite quantum states and operators.
  • Provided a framework for assessing IIT's compatibility with quantum mechanics.

Conclusions:

  • The extended IIT formalism provides a potential bridge between theories of consciousness and quantum mechanics.
  • IIT's compositional analysis offers new perspectives on quantum information and entanglement.
  • This work informs theoretical discussions on the fundamental nature of reality, from classical to quantum realms.