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79
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FOCS
1998
IEEE
15 years 2 months ago
The Quantum Communication Complexity of Sampling
Sampling is an important primitive in probabilistic and quantum algorithms. In the spirit of communication complexity, given a function f : X
Andris Ambainis, Leonard J. Schulman, Amnon Ta-Shm...
ECCC
2008
107views more  ECCC 2008»
14 years 10 months ago
A Quantum Time-Space Lower Bound for the Counting Hierarchy
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
Dieter van Melkebeek, Thomas Watson
STACS
2000
Springer
15 years 1 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
STOC
2009
ACM
120views Algorithms» more  STOC 2009»
15 years 10 months ago
Short seed extractors against quantum storage
Some, but not all, extractors resist adversaries with limited quantum storage. In this paper we show that Trevisan's extractor has this property, thereby showing an extractor...
Amnon Ta-Shma
80
Voted
GECCO
2004
Springer
15 years 3 months ago
Evolving Quantum Circuits and Programs Through Genetic Programming
Abstract. Spector et al. have shown [1],[2],[3] that genetic programming can be used to evolve quantum circuits. In this paper, we present new results in this field, introducing p...
Paul Massey, John A. Clark, Susan Stepney