State transfer control of quantum systems on the Bloch sphere |
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Authors: | Yuesheng Lou Shuang Cong |
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Institution: | (1) California Institute of Technology, NASA Jet Propulsion Laboratory, Oak Grove Drive 4800, Pasadena, CA 91109-8099, USA |
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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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Keywords: | |
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