The quantum Fourier transform and quantum phase estimation are the key components for many quantum algorithms, such as order-finding, factoring, and etc. In this article, the general procedure of quantum Fourier transform and phase estimation are investigated for high dimensional case. They can be seen as subroutines in a main program run in a qudit quantum computer, and the quantum circuits are given.
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Cao et al. (2011) studied this question.
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