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Relationship between Information Scrambling and Quantum Darwinism.

Feng Tian1, Jian Zou1, Hai Li2

  • 1School of Physics, Beijing Institute of Technology, Beijing 100081, China.

Entropy (Basel, Switzerland)
|January 22, 2024
PubMed
Summary

Quantum Darwinism emerges when information is redundantly encoded in the environment. This study reveals that quantum Darwinism and information scrambling are inversely related, with positive tripartite mutual information indicating Darwinism and negative indicating scrambling.

Keywords:
collision modelinformation scramblingquantum Darwinismquantum mutual informationtripartite mutual information

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics
  • Quantum Foundations

Background:

  • Quantum systems interacting with multipartite environments can lead to redundant information encoding (quantum Darwinism).
  • Environments can also scramble initially localized system information.
  • Understanding the interplay between information scrambling and quantum Darwinism is crucial.

Purpose of the Study:

  • To investigate the relationship between information scrambling in an environment and the emergence of quantum Darwinism.
  • To analyze how system-environment interactions influence these phenomena.
  • To explore the role of system size (single vs. two qubits) in quantum Darwinism and scrambling.

Main Methods:

  • Utilizing a collision model to simulate system-environment interactions.
  • Analyzing mutual information between the system and environmental fragments.
  • Calculating tripartite mutual information (TMI) to quantify scrambling and Darwinism.

Main Results:

  • Zero TMI corresponds to a linear increase in mutual information with fragment size, indicating no scrambling.
  • Positive TMI signifies quantum Darwinism and the absence of scrambling.
  • Negative TMI indicates an "encoding" environment and the presence of scrambling.

Conclusions:

  • Quantum Darwinism and information scrambling are distinct but related phenomena.
  • The tripartite mutual information serves as a reliable indicator of whether scrambling or Darwinism dominates.
  • System-environment interaction details, including system size, affect the emergence of quantum Darwinism and scrambling.