Quantum Speed Limit is Not Quantum
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2018
- DOI:
- 10.1103/PhysRevLett.120.070402
- arXiv:
- arXiv:1710.03498
- Bibcode:
- 2018PhRvL.120g0402O
- Keywords:
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- Quantum Physics;
- Physics - Classical Physics
- E-Print:
- 6 pages, 0 figure