Numerical tasks of quantum computer circuits modeling
Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2013), pp. 3-15
Voir la notice de l'article provenant de la source Math-Net.Ru
This paper is devoted to tasks of modeling quantum computer circuits. We give a brief introduction to the mathematical formalism of quantum gates (an analog of logic gates of classical computers). Further, we consider important tasks of quantum computer circuits' modeling and provide some examples of numerical solutions of such problems. Computational features of such tasks and the reasons behind the need to use high-performance computational systems are also considered. Finally, the results of supercomputer modeling of many-qubit quantum Fourier transform and Grovers's algorithm are provided.
Keywords:
qubit, quantum gate, a depolarizing noise, amplitude and phase relaxation of the quantum, Grover's algorithm.
Mots-clés : Fourier transform
Mots-clés : Fourier transform
@article{ITVS_2013_3_a0,
author = {Yu. I. Bogdanov and N. A. Bogdanova and V. F. Lukichev and A. A. Orlikovsky and I. A. Semenikhin and A. S. Holevo and A. Yu. Chernyavskiy},
title = {Numerical tasks of quantum computer circuits modeling},
journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
pages = {3--15},
publisher = {mathdoc},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ITVS_2013_3_a0/}
}
TY - JOUR AU - Yu. I. Bogdanov AU - N. A. Bogdanova AU - V. F. Lukichev AU - A. A. Orlikovsky AU - I. A. Semenikhin AU - A. S. Holevo AU - A. Yu. Chernyavskiy TI - Numerical tasks of quantum computer circuits modeling JO - Informacionnye tehnologii i vyčislitelnye sistemy PY - 2013 SP - 3 EP - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ITVS_2013_3_a0/ LA - ru ID - ITVS_2013_3_a0 ER -
%0 Journal Article %A Yu. I. Bogdanov %A N. A. Bogdanova %A V. F. Lukichev %A A. A. Orlikovsky %A I. A. Semenikhin %A A. S. Holevo %A A. Yu. Chernyavskiy %T Numerical tasks of quantum computer circuits modeling %J Informacionnye tehnologii i vyčislitelnye sistemy %D 2013 %P 3-15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ITVS_2013_3_a0/ %G ru %F ITVS_2013_3_a0
Yu. I. Bogdanov; N. A. Bogdanova; V. F. Lukichev; A. A. Orlikovsky; I. A. Semenikhin; A. S. Holevo; A. Yu. Chernyavskiy. Numerical tasks of quantum computer circuits modeling. Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2013), pp. 3-15. http://geodesic.mathdoc.fr/item/ITVS_2013_3_a0/