Jun Zhang, Loren Greenman, Xiaotian Deng, Ian M. Hayes, K. Birgitta Whaley
In this paper we apply optimal control technique to derive the control fields that transfer electron from one end of a chain of donors or quantum dots to the other. We formulate it as an optimal steering problem, and then derive the dynamics of the optimal control. A numerical algorithm is developed to efficiently generate control pulses. We apply this technique to transfer an electron between sites of a triple quantum dot and an ionized chain of phosphorus dopants in silicon, in which we show that a 500 G magnetic field will transfer the electron and two of the four hyperfine states of the electron-nuclear spin pair.
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http://arxiv.org/abs/1208.2781
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