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» Hidden translation and orbit coset in quantum computing
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STOC
2003
ACM
64views Algorithms» more  STOC 2003»
14 years 11 months ago
Hidden translation and orbit coset in quantum computing
Katalin Friedl, Gábor Ivanyos, Fréd&...
ICTCS
2005
Springer
14 years 4 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 5 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...
SODA
2003
ACM
100views Algorithms» more  SODA 2003»
14 years 10 days 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
2002
IEEE
14 years 4 months ago
Quantum Computation and Lattice Problems
We present the first explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under ...
Oded Regev