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» Fast parallel circuits for the quantum Fourier transform
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FOCS
2000
IEEE
13 years 9 months ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous
QCQC
1998
Springer
173views Communications» more  QCQC 1998»
13 years 9 months ago
Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits
The quantum Fourier transform (QFT), a quantum analog of the classical Fourier transform, has been shown to be a powerful tool in developing quantum algorithms. However, in classi...
Amir Fijany, Colin P. Williams
EC
2006
118views ECommerce» more  EC 2006»
13 years 5 months ago
Human-Competitive Evolution of Quantum Computing Artefacts by Genetic Programming
We show how Genetic Programming (GP) can be used to evolve useful quantum computing artefacts of increasing sophistication and usefulness: firstly specific quantum circuits, then ...
Paul Massey, John A. Clark, Susan Stepney
ISMVL
2002
IEEE
84views Hardware» more  ISMVL 2002»
13 years 10 months ago
The Role of Super-Fast Transforms in Speeding Up Quantum Computations
We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
Zeljko Zilic, Katarzyna Radecka
PPL
2010
118views more  PPL 2010»
13 years 3 months ago
Coping with Decoherence: Parallelizing the Quantum Fourier Transform
Rank-varying computational complexity describes those computations in which the complexity of executing each step is not a constant, but evolves throughout the computation as a fu...
Marius Nagy, Selim G. Akl