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

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

2010-03-03

arxiv.org/abs/1003.0726v2

Physics

Quantum Physics

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

Scientific paper

I report a tight upper bound of the maximum speed of evolution from one quantum state $\rho$ to another $\rho'$ with fidelity $F(\rho,\rho')$ 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 ${\mathscr D}E$, one may interpret ${\mathscr D}E$ as a meaningful measure of the maximum information processing capability of a system.

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