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

Piotr Gawron;  Jerzy Klamka;  Ryszard Winiarczyk — 2012

International Journal of Applied Mathematics and Computer Science

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.

Self-replication processes in nanosystems of informatics

Stefan Węgrzyn;  Ryszard Winiarczyk;  Lech Znamirowski — 2003

International Journal of Applied Mathematics and Computer Science

Recent research on the nanotechnological processes of molecular products and object synthesis as well as research on the nanosystems of informatics, stimulates the development of technical systems of informatics. Until now, they have been used mainly for computational tasks when, similarly to biological organisms, they allowed the development of self-replicating products and complete objects. One can focus here on the model of a circulation of materials, information and energy in a biological cell,...

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