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Entropic Bounds on Information Backflow.

Nina Megier1, Andrea Smirne1, Bassano Vacchini1

  • 1Dipartimento di Fisica "Aldo Pontremoli," Università degli Studi di Milano, via Celoria 16, 20133 Milan, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milan, Italy.

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This summary is machine-generated.

Information backflow in open quantum systems causes memory effects, leading to non-Markovian dynamics. This study confirms this using telescopic relative entropy, linking information revivals to system-environment correlations.

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Area of Science:

  • Quantum Information Theory
  • Open Quantum Systems Dynamics
  • Quantum Thermodynamics

Background:

  • Non-Markovian quantum dynamics arise from information backflow to the system.
  • Trace-distance revivals indicate system-environment correlations or environmental changes.

Purpose of the Study:

  • To demonstrate that entropic quantifiers can also substantiate the role of information backflow.
  • To establish bounds on entropic revivals linked to correlation formation.

Main Methods:

  • Utilizing a regularized Umegaki's quantum relative entropy, termed telescopic relative entropy.
  • Connecting telescopic relative entropy to quantum Jensen-Shannon divergence.
  • Deriving general upper bounds on telescopic relative entropy revivals.

Main Results:

  • Telescopic relative entropy revivals are shown to be conditioned by system-environment correlations.
  • Upper bounds on these revivals are derived, dependent on correlation strength and environmental changes.
  • The findings are illustrated using the Jaynes-Cummings model and phase covariant dynamics.

Conclusions:

  • Information backflow, quantified by entropic measures like telescopic relative entropy, is a key mechanism for non-Markovianity.
  • System-environment correlations directly influence and bound the extent of information revivals.
  • The study provides a robust framework for analyzing memory effects in quantum systems.