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Note on transmitted complexity for quantum dynamical systems.

Noboru Watanabe1, Masahiro Muto2

  • 1Department of Information Sciences, Tokyo University of Science, Noda City, Chiba 278-8510, Japan watanabe@is.noda.tus.ac.jp.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 4, 2017
PubMed
Summary

This study reviews transmitted complexity, a key measure in quantum information theory. It defines this complexity for quantum dynamical systems using established entropy concepts.

Keywords:
AccardiOhya and Watanabe entropyquantum dynamical systemsquantum entropy

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Area of Science:

  • Quantum Information Theory
  • Quantum Dynamics

Background:

  • Transmitted complexity, also known as mutual entropy, is a significant measure in quantum information theory.
  • Recent advancements have introduced several methods for its calculation and application.

Purpose of the Study:

  • To review the fundamental concepts of Kossakowski, Ohya, and Watanabe entropy.
  • To define transmitted complexity specifically for quantum dynamical systems.

Main Methods:

  • Review of existing theoretical frameworks for entropy measures.
  • Development of a definition for transmitted complexity within the context of quantum dynamics.

Main Results:

  • Provides a foundational understanding of transmitted complexity.
  • Establishes a framework for analyzing complexity in quantum systems.

Conclusions:

  • The review and definition contribute to the understanding of transmitted complexity in quantum information theory.
  • This work supports foundational questions in the 'Second quantum revolution'.