Abstract
The state transfer under control fields is analyzed based on the Bloch sphere representation of a single qubit. In order to achieve the target from an arbitrary initial state to a target state, the conditions that parameters should satisfy are deduced separately in two different requirements: One is in the case of the rotation angle around the x-axis being fixed and another is in the situation with a given evolution time. Several typical states trajectories are demonstrated by numerical simulations on the Bloch sphere. The relations between parameters and the trajectories are analyzed.
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This research was supported in part by the National Science Foundation of China under Grant No. 61074050 and the National Key Basic Research Program under Grant No. 2009CB929601.
This paper was recommended for publication by Editor Jifeng ZHANG.
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Lou, Y., Cong, S. State transfer control of quantum systems on the Bloch sphere. J Syst Sci Complex 24, 506–518 (2011). https://doi.org/10.1007/s11424-011-9066-4
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DOI: https://doi.org/10.1007/s11424-011-9066-4