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» Quantum lower bounds by quantum arguments
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TOC
2010
155views Management» more  TOC 2010»
13 years 14 days ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
13 years 10 months ago
Communication Complexity Lower Bounds by Polynomials
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
Harry Buhrman, Ronald de Wolf
CORR
1998
Springer
106views Education» more  CORR 1998»
13 years 5 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 6 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
COCO
2001
Springer
154views Algorithms» more  COCO 2001»
13 years 10 months ago
Quantum Algorithms for Element Distinctness
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
Harry Buhrman, Christoph Dürr, Mark Heiligman...