Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Light
Dark
System
Generic quantum Fourier transforms
Cristopher Moore
,
Daniel N. Rockmore
,
Alexander Russell
Type:
Article
Publication Date:
2004-01-11
Citations:
44
DOI:
https://doi.org/10.5555/982792.982910
Share
Similar Works
Action
Title
Year
Authors
+
PDF
Chat
Generic quantum Fourier transforms
2006
Cristopher Moore
Daniel N. Rockmore
Alexander Russell
+
Generic Quantum Fourier Transforms
2003
Cristopher Moore
Daniel N. Rockmore
Alexander Russell
+
PDF
Chat
Fast Quantum Fourier Transforms for a Class of Non-abelian Groups
1999
Markus Püschel
Martin Rötteler
Thomas Beth
+
PDF
Chat
Highly-efficient quantum Fourier transformations for some nonabelian groups
2024
Edison Muarari
M. Sohaib Alam
Henry Lamm
Stuart Hadfield
Erik Gustafson
+
A new algorithm for fast generalized DFTs
2017
Chloe Hsu
Chris Umans
+
Quantum algorithms, symmetry, and Fourier analysis
2012
Aaron Denney
+
PDF
Chat
A New Algorithm for Fast Generalized DFTs
2019
Chloe Hsu
Chris Umans
+
Quantum Fourier Transforms for a Class of Non-abelian Groups
1998
Markus Püeschel
Martin Roetteler
Thomas Beth
+
Quantum algorithms for Abelian groups
2002
Alexei Kitaev
Alexander Shen
M. Vyalyi
+
Quantum algorithms in group theory
2003
Michael Batty
Samuel L. Braunstein
Andrew J. Duncan
Sarah Rees
+
PDF
Chat
Quantum algorithms in group theory
2004
Michael Batty
Samuel L. Braunstein
Andrew J. Duncan
Sarah Rees
+
PDF
Chat
Linear-depth quantum circuits for loading Fourier approximations of arbitrary functions
2023
Mudassir Moosa
Thomas W. Watts
Yiyou Chen
Abhijat Sarma
Peter L. McMahon
+
PDF
Chat
Exploiting recursive structures for the design of novel quantum primitives
2024
Ning Bao
Gürsel A. Süer
+
Quantum representation of finite groups
2022
Ruge Lin
+
Existence and efficient construction of fast Fourier transforms on supersolvable groups
1991
Ulrich Baum
+
PDF
Chat
Fast quantum maps
1998
Gregory G. Athanasiu
E.G. Floratos
Stam Nicolis
+
A fast generalized DFT for finite groups of Lie type
2017
Chloe Hsu
Chris Umans
+
PDF
Chat
Quantum hashing for finite abelian groups
2016
Аlexander Vasiliev
+
Normalizer Circuits and Quantum Computation
2016
Juan Bermejo-Vega
+
Fault-tolerant quantum algorithms
2023
Pablo Antonio Moreno Casares
Works That Cite This (29)
Action
Title
Year
Authors
+
On the Power of Random Bases in Fourier Sampling: Hidden Subgroup Problem in the Heisenberg Group
2005
Jaikumar Radhakrishnan
Martin Roetteler
Pranab Kumar Sen
+
PDF
Chat
On the Power of Random Bases in Fourier Sampling: Hidden Subgroup Problem in the Heisenberg Group
2005
Jaikumar Radhakrishnan
Martin Rötteler
Pranab Kumar Sen
+
Finding conjugate stabilizer subgroups of almost 3-transitive groups
2008
Aaron Denney
Cristopher Moore
Alexander Russell
+
The hidden subgroup problem and permutation group theory
2005
Julia Kempe
Aner Shalev
+
Explicit Multiregister Measurements for Hidden Subgroup Problems; or, Fourier Sampling Strikes Back
2005
Cristopher Moore
Alexander Russell
+
Weak Fourier-Schur Sampling, the Hidden Subgroup Problem, and the Quantum Collision Problem
2007
Andrew M. Childs
Aram W. Harrow
Paweł Wocjan
+
Finding conjugate stabilizer subgroups in $\PSL$ and related groups
2010
DA. Denney
Cristopher Moore
Alexander Russell
+
Hidden translation and orbit coset in quantum computing
2003
Katalin Friedl
Gábor Ivanyos
Frédéric Magniez
Miklós Sántha
Pranab Kumar Sen
+
Quantum algorithms, symmetry, and Fourier analysis
2012
Aaron Denney
+
Fast quantum algorithms for approximating some irreducible representations of groups
2008
Stephen P. Jordan
Works Cited by This (17)
Action
Title
Year
Authors
+
The Cooley--Tukey FFT and Group Theory
2002
David K. Maslen
Dan Rockmore
+
Linear Representations of Finite Groups
1977
Jean-Pierre Serre
+
An approximate Fourier transform useful in quantum factoring
2002
Don Coppersmith
+
On the computational complexity of the general discrete fourier transform
1987
Thomas Beth
+
Fast generalized Fourier transforms
1989
Michael Clausen
+
PDF
Chat
Efficient computation of the Fourier transform on finite groups
1990
Persi Diaconis
Daniel N. Rockmore
+
Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem
2001
Gábor Ivanyos
Frédéric Magniez
Miklós Sántha
+
Adapted diameters and the efficient computation of Fourier transforms on finite groups
1995
David K. Maslen
Daniel N. Rockmore
+
Fast Fourier analysis for abelian group extensions
1990
Daniel N. Rockmore
+
The Hidden Subgroup Problem in Affine Groups: Basis Selection in Fourier Sampling
2002
Cristopher Moore
Daniel N. Rockmore
Alexander Russell
Leonard J. Schulman