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Quantum Information Scrambling in Non-Markovian Open Quantum System.

Li-Ping Han1,2, Jian Zou1, Hai Li3

  • 1Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement, Ministry of Education, School of Physics, Beijing Institute of Technology, Beijing 100081, China.

Entropy (Basel, Switzerland)
|November 11, 2022
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Summary

Tripartite logarithmic negativity (TLN) is a better measure of information scrambling in open quantum systems than tripartite mutual information (TMI). Non-Markovian environments can enhance scrambling, though environments are generally detrimental long-term.

Keywords:
information scramblingnon-Markovian quantum state diffusion (QSD) equationnon-Markovianitytripartite logarithmic negativity (TLN)tripartite mutual information (TMI)

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Open Quantum Systems

Background:

  • Information scrambling quantifies how quantum information spreads within a quantum system.
  • Existing studies primarily focus on Markovian environments, leaving the role of non-Markovian environments unclear.
  • The suitability of tripartite mutual information (TMI) for quantifying scrambling in open systems requires further investigation.

Purpose of the Study:

  • To investigate information scrambling dynamics in a spin chain coupled to two independent non-Markovian baths.
  • To determine appropriate quantifiers for information scrambling in open quantum systems.
  • To explore the impact of non-Markovian environments on information scrambling.

Main Methods:

  • Utilized the non-Markovian quantum state diffusion (QSD) equation approach.
  • Analyzed the behavior of tripartite mutual information (TMI) and tripartite logarithmic negativity (TLN) as scrambling quantifiers.
  • Studied a spin chain model interacting with two independent non-Markovian environments.

Main Results:

  • Negative tripartite logarithmic negativity (TLN) is identified as a suitable quantifier for information scrambling in open quantum systems, unlike negative TMI in certain cases.
  • The memory effect inherent in non-Markovian environments is found to be beneficial for information scrambling.
  • While environments generally degrade information scrambling in the long term, they can enhance it in the short term under specific conditions.

Conclusions:

  • Tripartite logarithmic negativity (TLN) provides a more robust measure of information scrambling in open quantum systems compared to TMI.
  • Non-Markovian environments play a crucial role in information scrambling, offering potential benefits in certain timescales.
  • Understanding the interplay between system dynamics and non-Markovian environments is essential for controlling quantum information scrambling.