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Control of quantum transmission is trap free (1403.5700v1)

Published 22 Mar 2014 in quant-ph, math-ph, and math.MP

Abstract: We consider manipulation of the transmission coefficient for a quantum particle moving in one dimension where the shape of the potential is taken as the control. We show that the control landscape---the transmission as a functional of the potential---has no traps, i.e., any maxima correspond to full transmission.

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