Quantum online algorithms for a model of the request-answer game with a buffer
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 3, pp. 367-382
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
In this paper, we considered online algorithms as a request-answer game between two players: an adversary that generates input requests and an online algorithm that answers them. A generalized version of the game that has a buffer of limited size was studied. The adversary loads data to the buffer, while the algorithm has random access to elements of the buffer. For the model, quantum and classical (deterministic or randomized) algorithms were a focus of attention. A specific problem and a quantum algorithm that works better than any classical (deterministic or randomized) algorithm, in terms of competitive ratio, were provided. At the same time, for the problem, classical online algorithms in the standard model are equivalent to the classical algorithms in the request-answer game with a buffer model.
Keywords:
quantum computation, online algorithms, request-answer game, online minimization problem, computation with buffer.
@article{UZKU_2020_162_3_a10,
author = {K. R. Khadiev and D. I. Lin},
title = {Quantum online algorithms for a model of the request-answer game with a buffer},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {367--382},
publisher = {mathdoc},
volume = {162},
number = {3},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a10/}
}
TY - JOUR AU - K. R. Khadiev AU - D. I. Lin TI - Quantum online algorithms for a model of the request-answer game with a buffer JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2020 SP - 367 EP - 382 VL - 162 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a10/ LA - ru ID - UZKU_2020_162_3_a10 ER -
%0 Journal Article %A K. R. Khadiev %A D. I. Lin %T Quantum online algorithms for a model of the request-answer game with a buffer %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2020 %P 367-382 %V 162 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a10/ %G ru %F UZKU_2020_162_3_a10
K. R. Khadiev; D. I. Lin. Quantum online algorithms for a model of the request-answer game with a buffer. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 3, pp. 367-382. http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a10/