Speed limit for open quantum systems

Ken Funo, Naoto Shiraishi, Keiji Saito

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)


We study the quantum speed limit for open quantum systems described by the Lindblad master equation. The obtained inequality shows a trade-off relation between the operation time and the physical quantities such as the energy fluctuation and the entropy production. We further identify a quantity characterizing the speed of the state transformation, which appears only when we consider the open system dynamics in the quantum regime. When the thermal relaxation is dominant compared to the unitary dynamics of the system, we show that this quantity is approximated by the energy fluctuation of the counter-diabatic Hamiltonian which is used as a control field in the shortcuts to adiabaticity protocol. We discuss the physical meaning of the obtained quantum speed limit and try to give better intuition about the speed in open quantum systems.

Original languageEnglish
Article number013006
JournalNew Journal of Physics
Issue number1
Publication statusPublished - 2019 Jan 9


  • quantum speed limits
  • shortcuts to adiabaticity
  • stochastic thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Speed limit for open quantum systems'. Together they form a unique fingerprint.

Cite this