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» Quantum Lower Bounds by Polynomials
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CIE
2006
Springer
13 years 10 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
COCOON
2005
Springer
14 years 8 days ago
Promised and Distributed Quantum Search
This paper gives a quantum algorithm to search in an set S for a k-tuple satisfying some predefined relation, with the promise that some components of a desired k-tuple are in som...
Shengyu Zhang
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
13 years 8 months ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 1 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
12 years 6 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams