Bounds in nonequilibrium quantum dynamics

Z Gong, R Hamazaki - International Journal of Modern Physics B, 2022 - World Scientific
We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

Quantum lower and upper speed limits using reference evolutions

K Takahashi - New Journal of Physics, 2022 - iopscience.iop.org
We derive generalized quantum speed limit inequalities that represent limitations on the
time evolution of quantum states. They are extensions of the original inequality and are …

Lower bounds for adiabatic quantum algorithms by quantum speed limits

JH Chen - Physical Review Research, 2023 - APS
We introduce a simple framework for estimating lower bounds on the runtime of a broad
class of adiabatic quantum algorithms. The central formula consists of calculating the …

Quantum evolution speed and its limit in the driven double‐well system

F Xu, L Zhang, W Huang - International Journal of Quantum …, 2024 - Wiley Online Library
We investigate quantum evolution speed in the driven double‐well system using the
entangled trajectory molecular dynamics method. We emphasize not only the evolution …