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

Author: Gawron P.; Klamka J.; Winiarczyk R.
Journal: International Journal of Applied Mathematics and Computer Science
Year of Publication: 2012
Status: Published
Number of Pages: 493–499
Volume: 22
Abstract: 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 computational complexity of the quantum search algorithm. We show that only for small amounts of noise the quantum search algorithm is still more efficient than any classical algorithm.