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» On the Complexity of Quantum ACC
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ICTCS
2005
Springer
14 years 2 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 10 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
ISAAC
2005
Springer
78views Algorithms» more  ISAAC 2005»
14 years 2 months ago
The Phase Matrix
Reducing the error of quantum algorithms is often achieved by applying a primitive called amplitude amplification. Its use leads in many instances to quantum algorithms that are q...
Peter Høyer
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
14 years 9 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
JCSS
2008
120views more  JCSS 2008»
13 years 8 months ago
Quantum certificate complexity
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
Scott Aaronson