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Abstract: We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). (Update)
Context of citations to this paper: More
.... a sequence of standard Hadamard gates and controlled z rotations (the state of the art is summarized and improved by Cleve and Watrous [11]) probably with complexity O(n) or better. Leaving the quantum Fourier transform as a primitive in the byte code will allow each...
...Sampling It is not known how to eciently compute the quantum Fourier transform over Z n exactly. However, ecient approximations are known [6] [10] 11] We can even compute an ecient approximation when n is unknown as long as we have an upper bound on n [10] 2.4 Finite Fields...
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BibTeX entry: (Update)
@inproceedings{ cleve00fast,
author = "Richard Cleve and John Watrous",
title = "Fast parallel circuits for the quantum Fourier transform",
booktitle = "{IEEE} Symposium on Foundations of Computer Science",
pages = "526-536",
year = "2000",
url = "citeseer.ist.psu.edu/article/cleve00fast.html" }
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