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» Norms, XOR Lemmas, and Lower Bounds for Polynomials and Prot...
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COCO
2007
Springer
85views Algorithms» more  COCO 2007»
13 years 11 months ago
Norms, XOR Lemmas, and Lower Bounds for GF(2) Polynomials and Multiparty Protocols
This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and GF(2) polynomials. The key is t...
Emanuele Viola, Avi Wigderson
TOC
2008
89views more  TOC 2008»
13 years 4 months ago
Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
Abstract: This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and polynomials over GF(2)....
Emanuele Viola, Avi Wigderson
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 3 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
13 years 11 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