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» Adversary lower bounds for nonadaptive quantum algorithms
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ICALP
2009
Springer
16 years 1 months ago
Revisiting the Direct Sum Theorem and Space Lower Bounds in Random Order Streams
Estimating frequency moments and Lp distances are well studied problems in the adversarial data stream model and tight space bounds are known for these two problems. There has been...
Sudipto Guha, Zhiyi Huang
CRYPTO
2007
Springer
109views Cryptology» more  CRYPTO 2007»
15 years 7 months ago
A Tight High-Order Entropic Quantum Uncertainty Relation with Applications
We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quant...
Ivan Damgård, Serge Fehr, Renato Renner, Lou...
FOCS
2006
IEEE
15 years 7 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
CORR
2008
Springer
97views Education» more  CORR 2008»
15 years 1 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett
ICALP
2004
Springer
15 years 6 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...