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PKC
2004
Springer
95views Cryptology» more  PKC 2004»
13 years 10 months ago
A Nonuniform Algorithm for the Hidden Number Problem in Subgroups
Boneh and Venkatesan have proposed a polynomial time algorithm in a non-uniform model for recovering a ”hidden” element α ∈ IFp, where p is prime, from very short strings of...
Igor Shparlinski, Arne Winterhof
STACS
1999
Springer
13 years 9 months ago
On Quantum Algorithms for Noncommutative Hidden Subgroups
Quantum algorithms for factoring and finding discrete logarithms have previously been generalized to finding hidden subgroups of finite Abelian groups. This paper explores the ...
Mark Ettinger, Peter Høyer
STOC
2001
ACM
133views Algorithms» more  STOC 2001»
14 years 5 months ago
Quantum mechanical algorithms for the nonabelian hidden subgroup problem
Michelangelo Grigni, Leonard J. Schulman, Monica V...
SODA
2003
ACM
100views Algorithms» more  SODA 2003»
13 years 6 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
2002
IEEE
13 years 9 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