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Noise effects in the quantum search algorithm from the viewpoint of computational complexity

100%
Gawron P., Klamka J., Winiarczyk R.
International Journal of Applied Mathematics and Computer Science
|
2012
|
tom 22
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nr 2
493-499
EN
We analyse the resilience of the quantum search algorithm in the presence of quantum noise modelled as trace preserving completely positive maps. We study the influence of noise on the computational complexity of the quantum search algorithm. We show that it is only for small amounts of noise that the quantum search algorithm is still more efficient than any classical algorithm.
2
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Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms

75%
Tarapata Z.
International Journal of Applied Mathematics and Computer Science
|
2007
|
tom 17
|
nr 2
269-287
EN
The paper presents selected multicriteria (multiobjective) approaches to shortest path problems. A classification of multi-objective shortest path (MOSP) problems is given. Different models of MOSP problems are discussed in detail. Methods of solving the formulated optimization problems are presented. An analysis of the complexity of the presented methods and ways of adapting of classical algorithms for solving multiobjective shortest path problems are described. A comparison of the effectiveness of solving selected MOSP problems defined as mathematical programming problems (using the CPLEX 7.0 solver) and multi-weighted graph problems (using modified Dijkstra's algorithm) is given. Experimental results of using the presented methods for multicriteria path selection in a terrain-based grid network are given.
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