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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Coherent information structure in complex computation.

Joseph T Lizier1, Mikhail Prokopenko, Albert Y Zomaya

  • 1CSIRO Information and Communications Technology Centre, P.O. Box 76, Epping, NSW, 1710, Australia. lizier@mis.mpg.de

Theory in Biosciences = Theorie in Den Biowissenschaften
|December 1, 2011
PubMed
Summary
This summary is machine-generated.

Complex computation, especially in biology, features coherent information structures. Our new method reveals these structures, clarifying computation complexity and reconciling interpretations of Elementary Cellular Automata rule 22.

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Area of Science:

  • Information dynamics
  • Computational complexity
  • Theoretical computer science

Background:

  • A framework for information dynamics in distributed computation was previously introduced.
  • Component operations (storage, transfer, modification) are present in all computations.
  • Complex computations exhibit coherent structure in their local information dynamics.

Purpose of the Study:

  • To conjecture that coherent information structure defines complex computation.
  • To propose a methodology for studying coherent information structure.
  • To apply this methodology to Elementary Cellular Automata rule 22.

Main Methods:

  • Developing state-space diagrams of local information dynamics.
  • Introducing a quantitative measure for structure within these diagrams.
  • Analyzing Elementary Cellular Automata rule 22 to identify coherent structure.

Main Results:

  • Demonstrated that coherent information structure is a key feature of complex computation.
  • Identified both explicit and 'hidden' coherent structures.
  • Reconciled conflicting interpretations regarding the complexity of Elementary Cellular Automata rule 22.

Conclusions:

  • Coherent information structure is a defining characteristic of complex computation, particularly in biological and evolved systems.
  • The developed methodology effectively detects and quantifies information structure.
  • This work provides a novel perspective on understanding computational complexity.