Generation of arbitrary superpositions of the Dicke states of excitons in optically driven quantum dots

We present a scheme to generate arbitrary superpositions of Dicke states of excitons in optically driven quantum dots. The proposal is based on a sequence of laser pulses to control transitions between the nearest-neighbor Dicke states appropriately. It is shown that only N laser pulses are needed to generate arbitrary superpositions of Dicke states of N quantum dots.