@article {edselc.2-52.0-8486725584620121019,
	title = {Time-dependent Hamiltonians with 100\% evolution speed efficiency.},
	journal = {Journal of Physics A: Mathematical and Theoretical},
	volume = {45},
	year = {2012},
	pages = {415304},
	abstract = {The evolution speed in projective Hilbert space is considered for Hermitian Hamiltonians and for non-Hermitian (NH) ones. Based on the Hilbert{\textendash}Schmidt norm and the spectral norm of a Hamiltonian, resource-related upper bounds on the evolution speed are constructed. These bounds are valid also for NH Hamiltonians and they are illustrated for an optical NH Hamiltonian and for a NH\&nbsp;<img align="MIDDLE" alt="$\mathcal {PT}$" src="http://cdn.iopscience.com/images/1751-8121/45/41/415304/jpa439530ieqn1.gif" xmlns:m="http://ns.iop.org/namespaces/meta">-symmetric matrix Hamiltonian. Furthermore, the concept of quantum speed efficiency is introduced as measure of the system resources directly spent on the motion in the projective Hilbert space. A recipe for the construction of time-dependent Hamiltonians which ensure 100\% speed efficiency is given. Generally these efficient Hamiltonians are NH but there is a Hermitian efficient Hamiltonian as well. Finally, the extremal case of a NH non-diagonalizable Hamiltonian with vanishing energy difference is shown to produce a 100\% efficient evolution with minimal resources consumption.},
	issn = {17518113},
	url = {http://search.ebscohost.com/login.aspx?direct=true\&db=edselc\&AN=edselc.2-52.0-84867255846\&site=eds-live},
	author = {Uzdin, R. and Moiseyev, N. and G{\"u}nther, U. and Rahav, S.}
}
