Generalization of short coherent control pulses: extension to arbitrary rotations

Details Generalization of short coherent control pulses: extension to arbitrary rotations Generalization of short coherent control pulses: extension to arbitrary rotations

2008-05-30

arxiv.org/abs/0805.4726v2

J. Phys. A: Math. Theor. 41 (2008) 312005

Physics

Quantum Physics

6 pages, no figures; published version

Scientific paper

10.1088/1751-8113/41/31/312005

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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