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» Quantum algorithms for some hidden shift problems
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SODA
2003
ACM
100views Algorithms» more  SODA 2003»
13 years 5 months ago
Quantum algorithms for some hidden shift problems
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structure of functions, especially periodi...
Wim van Dam, Sean Hallgren, Lawrence Ip
FOCS
2007
IEEE
13 years 11 months ago
Quantum Algorithms for Hidden Nonlinear Structures
Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central prob...
Andrew M. Childs, Leonard J. Schulman, Umesh V. Va...
STOC
2001
ACM
133views Algorithms» more  STOC 2001»
14 years 4 months ago
Quantum mechanical algorithms for the nonabelian hidden subgroup problem
Michelangelo Grigni, Leonard J. Schulman, Monica V...
COCO
2007
Springer
142views Algorithms» more  COCO 2007»
13 years 10 months ago
Quantum t-designs: t-wise Independence in the Quantum World
A t-design for quantum states is a finite set of quantum states with the property of simulating the Haar-measure on quantum states w.r.t. any test that uses at most t copies of a...
Andris Ambainis, Joseph Emerson
16
Voted
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
13 years 10 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...