Tight Upper Bound Of The Maximum Speed Of Evolution Of A Quantum State

Abstract

I report a tight upper bound of the maximum speed of evolution from one quantum state $\rho$ to another ${\rho }^{\prime }$ with fidelity $F(\rho ,{\rho }^{\prime })$ less than or equal to an arbitrary but fixed value under the action of a time-independent Hamiltonian. Since the bound is directly proportional to the average absolute deviation from the median of the energy of the state $\mathcal{D}E$, one may interpret $\mathcal{D}E$ as a meaningful measure of the maximum information processing capability of a system.

4 pages, 1 figure, minor changes with an additional reference added, to appear in PRA

References in corpus (2)

• Ultimate physical limits to computation
• Quantum limits to dynamical evolution

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