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FCT
2007
Springer
14 years 24 days ago
Product Rules in Semidefinite Programming
Abstract. In recent years we have witnessed the proliferation of semidefinite programming bounds in combinatorial optimization [1,5,8], quantum computing [9,2,3,6,4,16] and even in...
Rajat Mittal, Mario Szegedy
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 11 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 2 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
CIE
2007
Springer
14 years 3 months ago
From Logic to Physics: How the Meaning of Computation Changed over Time
The intuition guiding the de…nition of computation has shifted over time, a process that is re‡ected in the changing formulations of the Church-Turing thesis. The theory of co...
Itamar Pitowsky
MAAMAW
1994
Springer
14 years 1 months ago
What Ants Cannot Do
What is the relation between the complexity of agents and the complexity of the goals that they can achieve? It is argued on the basis of a fundamental conservation of complexity ...
Eric Werner