There is no general connection between the quantum speed limit and non-Markovianity

J. Teittinen*, H. Lyyra, S. Maniscalco

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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The quantum speed limit (QSL) sets a bound on the minimum time required for a quantum system to evolve between two states. For open quantum systems this quantity depends on the dynamical map describing the time evolution in presence of the environment, on the evolution time tau, and on the initial state of the system. We consider a general single qubit open dynamics and show that there is no simple relationship between memory effects and the tightness of the QSL bound. We prove that only for specific classes of dynamical evolutions and initial states, there exists a link between non-Markovianity and the QSL. Our results shed light on the connection between information back-flow between system and environment and the speed of quantum evolution.

Original languageEnglish
Article number123041
Number of pages13
JournalNew Journal of Physics
Issue number12
Publication statusPublished - Dec 2019
MoE publication typeA1 Journal article-refereed


  • quantum speed limit
  • non-Markovian
  • open quantum systems
  • master equation

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