Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 41, Issue 31, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8113/41/31/312005
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We generalize the problem of the coherent control of small quantum systems to the case where the quantum bit (qubit) is subject to a fully general rotation. Following the ideas developed in Pasini et al (2008 Phys. Rev. A 77 032315), the systematic expansion in the shortness of the pulse is extended to the case where the pulse acts on the qubit as a general rotation around an axis of rotation varying in time. The leading and the next-leading corrections are computed. For certain pulses we prove that the general rotation does not improve on the simpler rotation with fixed axis.
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