Abstract
High fidelity population transfer is of fundamental importance in quantum information processing. This paper employs a multiple-constraint optimal control theory method to find optimal control fields for a quantum system of two two-level particles to implement fast population transfer with very high fidelity. Numerical simulations show that high fidelity and fast population transfer can be achieved by shaping ultrafast laser pulses in the framework of time domain. The dependence of fidelity on the time duration and the field amplitude of the laser pulses is also discussed.
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