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CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 5 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 1 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
115views Education» more  CORR 2010»
13 years 1 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 8 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
COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 8 months ago
The Multiplicative Quantum Adversary
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progres...
Robert Spalek