Information-based complexity
The real number model in numerical analysis
Journal of Complexity
A fast quantum mechanical algorithm for database search
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
A framework for fast quantum mechanical algorithms
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
The quantum query complexity of approximating the median and related statistics
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Quantum complexity of integration
Journal of Complexity
An Introduction to Quantum Computing Algorithms
An Introduction to Quantum Computing Algorithms
Quantum computation and quantum information
Quantum computation and quantum information
Quantum summation with an application to integration
Journal of Complexity
Quantum integration in Sobolev classes
Journal of Complexity
Quantum Lower Bounds by Polynomials
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Quantum summation with an application to integration
Journal of Complexity
Quantum integration in Sobolev classes
Journal of Complexity
From Monte Carlo to quantum computation
Mathematics and Computers in Simulation - Special issue: 3rd IMACS seminar on Monte Carlo methods - MCM 2001
Quantum approximation I. Embeddings of finite-dimensional Lp spaces
Journal of Complexity
Quantum approximation II. Sobolev embeddings
Journal of Complexity
Sharp error bounds on quantum Boolean summation in various settings
Journal of Complexity
Quantum lower bounds by entropy numbers
Journal of Complexity
Optimal integration error on anisotropic classes for restricted Monte Carlo and quantum algorithms
Journal of Approximation Theory
Quantum integration error for some sobolev classes
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part II
Numerical analysis on a quantum computer
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
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We consider the computation of the mean of sequences in the quantum model of computation. We determine the query complexity in the case of sequences which satisfy a p- summability condition for 1 ≤ p 2. This settles a problem left open in Heinrich (J. Complexity 18 (2002) 1).