We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Multireference configuration interaction calculations have been performed on the excited state energy surfaces of the methyleneimmonium cation using recently developed methods for ...
Locating Brain tumor segmentation within MR (magnetic resonance) images is integral to the treatment of brain cancer. This segmentation task requires classifying each voxel as eith...
Chi-Hoon Lee, Shaojun Wang, Albert Murtha, Matt...
We present a method for the construction of patient-specific atlases of the brain. Traditional atlases of the brain aim to characterize the variability of a population of subjects...