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We propose a scheme for realizing the scalable quantum computation based onnonidentical quantum dots trapped in a single-mode waveguide. In this system,the quantum dots simultaneously interact with a large detuned waveguide andclassical light fields. During the process, neither the waveguide mode nor thequantum dots are excited, while the sub-system composed of any two quantum dotscan acquire phases conditional upon the states of these two quantum dots andthe certain detunings between the waveguide mode and corresponding externallight fields. Therefore, it can be used to realize selective quantum phasegates, graph states, $N$-qubit controlled phase $\pi $ gates, and clusterstates.

The scalable quantum computation based on quantum dot systems