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Quantum Non-Markovian Environment-to-System Backflows of Information: Nonoperational vs. Operational Approaches.

Adrián A Budini1,2

  • 1Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Centro Atómico Bariloche, Avenida E. Bustillo Km 9.5, Bariloche 8400, Argentina.

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Quantum memory arises from information flowing back from the environment to the system. This study compares nonoperational and operational quantum non-Markovianity approaches to understand this backflow.

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open quantum systemsquantum non-Markovianity

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Area of Science:

  • Quantum Information Theory
  • Quantum Thermodynamics
  • Foundations of Quantum Mechanics

Background:

  • Quantum memory effects are linked to information backflow from the environment to a quantum system.
  • Understanding this backflow is crucial for characterizing quantum non-Markovian dynamics.

Purpose of the Study:

  • To analyze and compare different interpretations and implementations of environment-to-system information backflow in quantum non-Markovianity.
  • To investigate the differences, limitations, and advantages of nonoperational and operational approaches.

Main Methods:

  • Comparison of a nonoperational approach (state distinguishability) with an operational approach (measurement outcome correlations).
  • Analysis across diverse system-environment models and dynamics.
  • Specific study of a non-Markovian depolarizing map with an environment exhibiting self-dynamics.

Main Results:

  • Characterization of the distinct features of nonoperational and operational approaches to quantum non-Markovianity.
  • Detailed analysis of how different system-environment interactions influence information backflow.
  • Demonstration of the utility of these approaches in understanding complex quantum dynamics.

Conclusions:

  • Both nonoperational and operational approaches offer valuable perspectives on quantum memory effects and information backflow.
  • The choice of approach depends on the specific system, environment, and desired insights.
  • This work provides a framework for a deeper understanding of non-Markovian quantum processes.