Geodesic
The use of quantum computer for global the integral estimation depending on a~parameter
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 4, pp. 381-394

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Some aspects of application of the quantum algorithms for estimation of integrals are considered. The new quantum algorithms for the global estimation of the integral which is dependent on a parameter are presented. The upper bounds of errors of the presented algorithms are obtained in $C$-metrics. The optimal relations between parameters of these algorithms are obtained. The comparison of computational costs of the quantum functional algorithms and Monte-Carlo functional algorithms is made. 
@article{SJVM_2002_5_4_a6,
     author = {E. V. Shkarupa},
     title = {The use of quantum computer for global the integral estimation depending on a~parameter},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {381--394},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2002_5_4_a6/}
}
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E. V. Shkarupa. The use of quantum computer for global the integral estimation depending on a~parameter. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 4, pp. 381-394. http://geodesic.mathdoc.fr/item/SJVM_2002_5_4_a6/