Uhlmann A.
An Energy Dispersion Estimate
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ABSTRACT. Given the density operator $\varrho_1$ as an initial value of an
Hamiltonian motion that evolves in a time interval $\Delta t$ to
$\varrho_2$. Let $\Delta E$ be the energy dispersion (or energy uncertainty)
of the motion. Then $\Delta t \, \Delta E$
can be estimated from below by comparing the length of the Hamiltonian
curve with a geodesic joining the initial and the final density
operator. The lengths are calculated in the Bures metric.