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SIAMSC
2010
143views more  SIAMSC 2010»
13 years 6 months ago
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromod
Abstract. We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate G...
Andreas Stathopoulos, Konstantinos Orginos
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
ICALP
2004
Springer
14 years 1 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
DCG
2010
107views more  DCG 2010»
13 years 2 months ago
An Optimization Problem Related to Minkowski's Successive Minima
Abstract The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima. To this end, we in...
Romanos Malikiosis
FOCS
1998
IEEE
13 years 12 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...