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Operator Growth in Open Quantum Systems.

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Quantum information scrambling in open systems is governed by operator size, not specific errors. This reveals universal information dynamics distinct from closed systems.

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Area of Science:

  • Quantum Dynamics
  • Quantum Information Theory
  • Statistical Mechanics

Background:

  • Quantum information scrambling describes how quantum information spreads in many-body quantum systems.
  • In open quantum systems, scrambling is affected by environmental interactions, leading to noise, errors, and decoherence.
  • Understanding information dynamics in open systems is crucial for quantum technologies and fundamental physics.

Purpose of the Study:

  • To develop a universal framework for describing quantum information scrambling in open quantum systems.
  • To identify the key factors controlling information dynamics in the presence of environmental noise.
  • To explore the differences between open and closed quantum system dynamics.

Main Methods:

  • Development of a theoretical framework based on operator size distributions.
  • Analysis of how open-system dynamics (noise, errors, decoherence) influence information scrambling.
  • Comparison of information dynamics in open systems with unitary (closed) systems.

Main Results:

  • The scrambling of quantum information in open systems is fundamentally determined by operator size distributions.
  • The specific microscopic mechanism of errors or noise does not dictate the scrambling behavior.
  • Open quantum systems exhibit universal classes of information dynamics that are distinct from those in closed systems.

Conclusions:

  • A universal framework reveals that operator size distributions control quantum information scrambling in open systems.
  • Open quantum systems display unique information dynamics, differing significantly from their closed-system counterparts.
  • The findings have implications for understanding the Loschmidt echo, nuclear magnetic resonance, and classical simulation of quantum systems.