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» The Complexity of Partition Functions
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147
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STACS
2000
Springer
15 years 7 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
174
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COCO
2000
Springer
161views Algorithms» more  COCO 2000»
15 years 8 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf
141
Voted
MOR
2007
116views more  MOR 2007»
15 years 3 months ago
Complex Matrix Decomposition and Quadratic Programming
This paper studies the possibilities of the Linear Matrix Inequality (LMI) characterization of the matrix cones formed by nonnegative complex Hermitian quadratic functions over sp...
Yongwei Huang, Shuzhong Zhang
144
Voted
CIE
2011
Springer
14 years 3 months ago
Towards an Axiomatic System for Kolmogorov Complexity
Abstract. In [She82], it is shown that four of its basic functional properties are enough to characterize plain Kolmogorov complexity, hence obtaining an axiomatic characterization...
Antoine Taveneaux
144
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JCSS
2008
120views more  JCSS 2008»
15 years 3 months ago
Quantum certificate complexity
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
Scott Aaronson