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Updated: Jun 28, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Published on: December 4, 2017

Assessing non-Markovian quantum dynamics.

M M Wolf1, J Eisert, T S Cubitt

  • 1Max-Planck-Institute for Quantum Optics, 85748 Garching, Germany.

Physical Review Letters
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

Researchers can determine if quantum evolution is Markovian from a single snapshot. Computable criteria and a measure of "Markovianity" are introduced for quantum channels and process tomography.

Related Experiment Videos

Last Updated: Jun 28, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Area of Science:

  • Quantum Information Theory
  • Open Quantum Systems
  • Quantum Dynamics

Background:

  • Quantum channels describe the evolution of quantum states in open systems.
  • Understanding the nature of this evolution (e.g., Markovian vs. non-Markovian) is crucial for quantum technologies.
  • Current methods often require extensive data or specific assumptions.

Purpose of the Study:

  • To determine if a quantum channel snapshot reveals information about the underlying continuous time evolution.
  • To establish criteria for identifying Markovian quantum evolution from a single snapshot.
  • To introduce a computable measure of Markovianity.

Main Methods:

  • Analysis of quantum channels as snapshots of quantum evolution.
  • Development of necessary and sufficient criteria for time-dependent and time-independent Markovian evolution.
  • Introduction of a computable measure for quantifying Markovianity.
  • Application of criteria to quantum process tomography.

Main Results:

  • A quantum channel snapshot, without further assumptions, can determine consistency with Markovian evolution.
  • Computable criteria are provided for identifying Markovian dynamics.
  • A computable measure of "Markovianity" is introduced.
  • The geometry of quantum channels in relation to master equations is clarified.

Conclusions:

  • The nature of quantum evolution, specifically its Markovianity, can be inferred from a single quantum channel snapshot.
  • The developed criteria and measure offer practical tools for analyzing quantum dynamics.
  • This work provides a deeper understanding of the relationship between quantum channels and master equations.