A relation between fidelity and quantum adiabatic evolution

Physics – Quantum Physics

Scientific paper

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4 pages, no figure

Scientific paper

10.1016/j.physleta.2006.03.064

Recently, some quantum algorithms have been implemented by quantum adiabatic
evolutions. In this paper, we discuss the accurate relation between the running
time and the distance of the initial state and the final state of a kind of
quantum adiabatic evolutions. We show that this relation can be generalized to
the case of mixed states.

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