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ISAAC
2005
Springer
78views Algorithms» more  ISAAC 2005»
15 years 8 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»
16 years 3 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
STOC
1997
ACM
122views Algorithms» more  STOC 1997»
15 years 7 months ago
Fault-Tolerant Quantum Computation With Constant Error
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
Dorit Aharonov, Michael Ben-Or
JCSS
2008
120views more  JCSS 2008»
15 years 3 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
JC
2007
94views more  JC 2007»
15 years 3 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou