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APPROX
2010
Springer
139views Algorithms» more  APPROX 2010»
13 years 10 months ago
Two-Source Extractors Secure against Quantum Adversaries
We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two q...
Roy Kasher, Julia Kempe
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 10 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
EUROGP
2009
Springer
105views Optimization» more  EUROGP 2009»
14 years 1 months ago
Quantum Circuit Synthesis with Adaptive Parameters Control
The contribution presented herein proposes an adaptive genetic algorithm applied to quantum logic circuit synthesis that, dynamically adjusts its control parameters. The adaptation...
Cristian Ruican, Mihai Udrescu, Lucian Prodan, Mir...
STOC
2004
ACM
153views Algorithms» more  STOC 2004»
14 years 9 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
ECCC
2008
98views more  ECCC 2008»
13 years 8 months ago
Public-Key Cryptosystems from the Worst-Case Shortest Vector Problem
We construct public-key cryptosystems that are secure assuming the worst-case hardness of approximating the minimum distance on n-dimensional lattices to within small poly(n) fact...
Chris Peikert