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IPL
2006
104views more  IPL 2006»
14 years 12 days ago
The communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
Wei Huang, Yaoyun Shi, Shengyu Zhang, Yufan Zhu
COCOON
2008
Springer
14 years 2 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...
COCO
2000
Springer
161views Algorithms» more  COCO 2000»
14 years 4 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 7 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
15 years 22 days ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman