Quantum Speed Limit is Not Quantum

Research output: Contribution to journalArticlepeer-review

99 Citations (Scopus)


The quantum speed limit (QSL), or the energy-time uncertainty relation, describes the fundamental maximum rate for quantum time evolution and has been regarded as being unique in quantum mechanics. In this study, we obtain a classical speed limit corresponding to the QSL using Hilbert space for the classical Liouville equation. Thus, classical mechanics has a fundamental speed limit, and the QSL is not a purely quantum phenomenon but a universal dynamical property of Hilbert space. Furthermore, we obtain similar speed limits for the imaginary-time Schrödinger equations such as the classical master equation.

Original languageEnglish
Article number070402
JournalPhysical Review Letters
Issue number7
Publication statusPublished - 2018 Feb 12


Dive into the research topics of 'Quantum Speed Limit is Not Quantum'. Together they form a unique fingerprint.

Cite this