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» Chernoff-Type Direct Product Theorems
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CRYPTO
2007
Springer
145views Cryptology» more  CRYPTO 2007»
13 years 10 months ago
Chernoff-Type Direct Product Theorems
Consider a challenge-response protocol where the probability of a correct response is at least α for a legitimate user and at most β < α for an attacker. One example is a CAP...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
CORR
2010
Springer
115views Education» more  CORR 2010»
12 years 11 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
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 6 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek
TOC
2010
155views Management» more  TOC 2010»
12 years 11 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
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 2 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