# Quantum algorithms and complexity for certain continuous and related discrete problems

@inproceedings{Wozniakowski2005QuantumAA, title={Quantum algorithms and complexity for certain continuous and related discrete problems}, author={Henryk Wozniakowski and Marek Kwas}, year={2005} }

The thesis contains an analysis of two computational problems. The first problem is discrete quantum Boolean summation. This problem is a building block of quantum algorithms for many continuous problems, such as integration, approximation, differential equations and path integration. The second problem is continuous multivariate Feynman-Kac path integration, which is a special case of path integration.
The quantum Boolean summation problem can be solved by the quantum summation (QS) algorithm…

## 3 Citations

### Quantum Algorithms and Complexity for Continuous Problems

- Computer ScienceEncyclopedia of Complexity and Systems Science
- 2009

High-dimensional integration, path Integration, Feynman path integration, the smallest eigenvalue of a differential equation, approximation, partial differential equations, ordinary differential equations and gradient estimation are reported on.

### Quantum Algorithms for Continuous Problems and Their Applications

- Computer Science, Physics
- 2014

A brief introduction to quantum algorithms is given and a wide range of applications including high dimensional integration, path integration, Hamiltonian simulation, and ground state energy estimation are reported on.

### D ec 2 00 7 Quantum Algorithms and Complexity for Continuous Problems ∗

- Computer Science
- 2022

Glossary I. Abstract I

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