The implementation of Grover's algorithm in optically driven quantum dots

In this paper, we study the implementation of Grover's algorithm using the system of three identical quantum dots (QDs) coupled by a multi-frequency optical field. Our result shows that increasing the electric field strength A speeds up the oscillations of the occupations of the excited states rather than increasing the occupation probabilities of those states. The larger the detuning of the field from resonance, the fewer the states which can be used as qubits. Compared with a multi-frequency external field, a single-frequency external field will generate much lower amplitudes of the excited states under the same coupling strength A and interdot Coulomb interaction V. However, when the three quantum dots are coupled with a single-frequency external field, these amplitudes increase on increasing the coupling strength A or decreasing the interdot Coulomb interaction V.