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SIAMCOMP
2008
80views more  SIAMCOMP 2008»
13 years 7 months ago
The Symmetric Group Defies Strong Fourier Sampling
Part I of this paper showed that the hidden subgroup problem over the symmetric group--including the special case relevant to Graph Isomorphism--cannot be efficiently solved by st...
Cristopher Moore, Alexander Russell, Leonard J. Sc...
FOCS
2007
IEEE
14 years 1 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...
COCO
2007
Springer
142views Algorithms» more  COCO 2007»
14 years 1 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
CRYPTO
2009
Springer
82views Cryptology» more  CRYPTO 2009»
14 years 2 months ago
Solving Hidden Number Problem with One Bit Oracle and Advice
In the Hidden Number Problem (HNP), the goal is to find a hidden number s, when given p, g and access to an oracle that on query a returns the k most significant bits of s · ga ...
Adi Akavia
ASIACRYPT
2001
Springer
14 years 4 days ago
The Modular Inversion Hidden Number Problem
We study a class of problems called Modular Inverse Hidden Number Problems (MIHNPs). The basic problem in this class is the following: Given many pairs xi, msbk (α + xi)−1 mod p...
Dan Boneh, Shai Halevi, Nick Howgrave-Graham