<正> A scheme for implementing discrete quantum Fourier transform is proposed via quantum dots embeddedin a microcavity,and then some of its applications are investigated,i.e.,Deutsch-Jozsa.algorithm and Shot's quantumfactoring.In particular,the detailed process of implementing one-qubit Deutsch Jozsa algorithm and the factorization ofN=15 are given.The microcavity mode is only virtually excited in the whole interaction,so the effective decoherent hasslight effect on the current scheme.These schemes would be an important step to fabricate a solid quantum computer.