Quantum limits to dynamical evolution
Quantum Physics
2009-11-07 v1
Abstract
We establish the minimum time it takes for an initial state of mean energy E and energy spread DE to move from its initial configuration by a predetermined amount. Distances in Hilbert space are estimated by the fidelity between the initial and final state. In this context, we also show that entanglement is necessary to achieve the ultimate evolution speed when the energy resources are distributed among all subsystems.
Cite
@article{arxiv.quant-ph/0210197,
title = {Quantum limits to dynamical evolution},
author = {Vittorio Giovannetti and Seth Lloyd and Lorenzo Maccone},
journal= {arXiv preprint arXiv:quant-ph/0210197},
year = {2009}
}
Comments
8 pages, 7 figures