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» Some Lower Bounds for the Complexity of Continuation Methods
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COCOON
2008
Springer
13 years 10 months ago
Multi-party Quantum Communication Complexity with Routed Messages
This paper describes a general quantum lower bounding technique for the communication complexity of a function that depends on the inputs given to two parties connected via paths,...
Seiichiro Tani, Masaki Nakanishi, Shigeru Yamashit...
FOCS
2006
IEEE
14 years 2 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
FOCS
1990
IEEE
14 years 15 days ago
Complexity of Unification in Free Groups and Free Semi-groups
The exponent of periodicity is an important factor in estimates of complexity of word-unification algorithms. We prove that the exponent of periodicity of a minimal solution of a w...
Antoni Koscielski, Leszek Pacholski
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
14 years 3 days ago
Univariate Polynomial Real Root Isolation: Continued Fractions Revisited
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 8 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek