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» Quantum Query Complexity of Some Graph Problems
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STOC
2007
ACM
98views Algorithms» more  STOC 2007»
16 years 2 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
COCOON
2008
Springer
15 years 3 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...
ECCC
2008
98views more  ECCC 2008»
15 years 1 months ago
Closed Timelike Curves Make Quantum and Classical Computing Equivalent
While closed timelike curves (CTCs) are not known to exist, studying their consequences has led to nontrivial insights in general relativity, quantum information, and other areas....
Scott Aaronson, John Watrous
105
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AAAI
1990
15 years 2 months ago
Some Applications of Graph Bandwidth to Constraint Satisfaction Problems
Bandwidth is a fundamental concept in graph theory which has some surprising applications to a class of AI search problems. Graph bandwidth provides a link between the syntactic s...
Ramin Zabih
100
Voted
COCO
2008
Springer
118views Algorithms» more  COCO 2008»
15 years 3 months ago
Quantum Expanders: Motivation and Constructions
: We define quantum expanders in a natural way. We give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma