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SIAMCOMP
2008
80views more  SIAMCOMP 2008»
13 years 4 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
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
COCO
2007
Springer
142views Algorithms» more  COCO 2007»
13 years 11 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
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...