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Summary
This summary is machine-generated.

Quantum Darwinism explains classical objectivity. This study identifies general Hamiltonian criteria for classical reality, finding separable system-environment interactions and no intra-environmental interactions are key for perfect quantum Darwinism.

Keywords:
decoherencequantum Darwinism

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Area of Science:

  • Quantum physics
  • Foundations of quantum mechanics
  • Quantum information theory

Background:

  • Quantum Darwinism explains how classical objectivity emerges from quantum mechanics.
  • Existing research often focuses on specific models and stationary properties.
  • Understanding the quantum-to-classical transition requires general criteria for Hamiltonians supporting classical reality.

Purpose of the Study:

  • Identify general criteria for Hamiltonians to support classical reality.
  • Investigate the conditions for perfect quantum Darwinism.
  • Analyze the dynamics of classical objectivity emergence.

Main Methods:

  • Categorization of N-qubit models with two-body interactions.
  • Analysis of system-environment interaction separability.
  • Investigation of intra-environmental interactions.
  • Solving the dynamics of information scrambling and quantum correlations.

Main Results:

  • Only Hamiltonians with separable system-environment interactions support a pointer basis.
  • "Perfect" quantum Darwinism requires the absence of intra-environmental interactions.
  • Information scrambling dynamics compete with the emergence of classical objectivity.

Conclusions:

  • Separable system-environment interactions are necessary for classical reality in quantum systems.
  • Absence of intra-environmental interactions is crucial for ideal quantum Darwinism.
  • The interplay between information scrambling and quantum correlations influences the dynamical emergence of classical objectivity.