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ECCC
2011
202views ECommerce» more  ECCC 2011»
13 years 2 months ago
New strong direct product results in communication complexity
We show two new direct product results in two different models of communication complexity. Our first result is in the model of one-way public-coin model. Let f ⊆ X × Y × Z ...
Rahul Jain
CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 2 months ago
A strong direct product theorem for two-way public coin communication complexity
We show a direct product result for two-way public coin communication complexity of all relations in terms of a new complexity measure that we define. Our new measure is a general...
Rahul Jain
STOC
1997
ACM
116views Algorithms» more  STOC 1997»
13 years 12 months ago
Direct Product Results and the GCD Problem, in Old and New Communication Models
This paper contains several results regarding the communication complexity model and the 2-prover games model, which are based on interaction between the two models:
Itzhak Parnafes, Ran Raz, Avi Wigderson
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 6 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
TOC
2010
155views Management» more  TOC 2010»
13 years 2 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis