Quantum speed limit for complex dynamics
arXiv:2301.00566 · doi:10.1038/s41534-023-00768-8
Abstract
Quantum speed limit focuses on the minimum time scale for a fixed mission and hence is important in quantum information where fast dynamics is usually beneficial. Most existing tools for the depiction of quantum speed limit are the lower-bound-type tools, which are in fact difficult to reveal the true minimum time, especially for many-body systems or complex dynamics. Therefore, the evaluation of this true minimum time in these scenarios is still an unsolved problem. Hereby we propose a three-step (classification-regression-calibration) methodology based on machine learning to evaluate the true minimum time in complex dynamics. Moreover, the analytical expression of the true minimum time is also provided for the time-dependent Hamiltonians with time-independent eigenstates.
7+17 pages, 14 figures, 1 table, close to the published version
References in corpus (8)
- Quantum speed limit for physical processes
- Quantum speed limits in open system dynamics
- Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Quantum-speed-limit time for multiqubit open systems
- Nonexponential quantum decay under environmental decoherence
- Quantum Speed Limit for States with a Bounded Energy Spectrum
- Quantum speed limit of a noisy continuous-variable system