Non-Markovian quantum dynamics: What does it mean?

Abstract

During the last ten years, the studies on non-Markovian open system dynamics has become increasingly popular and having contributions from diverse set of research communities. This interest has arisen due to fundamental problematics how to define and quantify memory effects in the quantum domain, how to exploit and develop applications based on them, and also due to the question what are the ultimate limits for controlling open system dynamics. We give here a simple theoretical introduction to the basic approaches to define and quantify quantum non-Markovianity -- also highlighting their connections and differences. In addition to the importance of the development for open quantum systems studies, we also discuss the implications of the progress for other fields including, e.g., formal studies of stochastic processes and quantum information science, and conclude with possible future directions the recent developments open.

7 pages. Perspective Article on the theory of quantifying non-Markovianity

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Cited by in corpus (42)

• Quantum stochastic processes and quantum non-Markovian phenomena
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• Experimental realization of high-fidelity teleportation via non-Markovian open quantum system
• Phase covariant qubit dynamics and divisibility
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• Estimating the degree of non-Markovianity using machine learning
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