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» Quantum Computation and Lattice Problems
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MOC
2000
132views more  MOC 2000»
15 years 1 months ago
Lattice computations for random numbers
We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to ...
Raymond Couture, Pierre L'Ecuyer
CPHYSICS
2006
85views more  CPHYSICS 2006»
15 years 1 months ago
Simulation of n-qubit quantum systems. II. Separability and entanglement
Studies on the entanglement of n-qubit quantum systems have attracted a lot of interest during recent years. Despite the central role of entanglement in quantum information theory...
T. Radtke, S. Fritzsche
FOCS
2000
IEEE
15 years 5 months ago
Succinct quantum proofs for properties of finite groups
In this paper we consider a quantum computational variant of nondeterminism based on the notion of a quantum proof, which is a quantum state that plays a role similar to a certifi...
John Watrous
COCOON
2006
Springer
15 years 5 months ago
On Unfolding Lattice Polygons/Trees and Diameter-4 Trees
We consider the problems of straightening polygonal trees and convexifying polygons by continuous motions such that rigid edges can rotate around vertex joints and no edge crossing...
Sheung-Hung Poon
DCC
2001
IEEE
16 years 1 months ago
The Invariants of the Clifford Groups
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane