Quantum online algorithms for a model of the request-answer game with a buffer
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,...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2020-09-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/uz-eng-phm-2020-3-11.html |
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| _version_ | 1850180117929656320 |
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| author | K.R. Khadiev D.I. Lin |
| author_facet | K.R. Khadiev D.I. Lin |
| author_sort | K.R. Khadiev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-90c93ce44cda4c98978e57deaf7a1ef5 |
| institution | OA Journals |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2020-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-90c93ce44cda4c98978e57deaf7a1ef52025-08-20T02:18:19ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982020-09-01162336738210.26907/2541-7746.2020.3.367-382Quantum online algorithms for a model of the request-answer game with a bufferK.R. Khadiev0D.I. Lin1OOO Kvantovye intellektual’nye tekhnologii, Kazan, 420111 Russia; Kazan Federal University, Kazan, 420008 Russia Kazan Federal University, Kazan, 420008 Russia; AO Bars Grup, Kazan, 420012 RussiaIn 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.https://kpfu.ru/uz-eng-phm-2020-3-11.htmlquantum computationonline algorithmsrequest-answer gameonline minimization problemcomputation with buffer |
| spellingShingle | K.R. Khadiev D.I. Lin Quantum online algorithms for a model of the request-answer game with a buffer Учёные записки Казанского университета: Серия Физико-математические науки quantum computation online algorithms request-answer game online minimization problem computation with buffer |
| title | Quantum online algorithms for a model of the request-answer game with a buffer |
| title_full | Quantum online algorithms for a model of the request-answer game with a buffer |
| title_fullStr | Quantum online algorithms for a model of the request-answer game with a buffer |
| title_full_unstemmed | Quantum online algorithms for a model of the request-answer game with a buffer |
| title_short | Quantum online algorithms for a model of the request-answer game with a buffer |
| title_sort | quantum online algorithms for a model of the request answer game with a buffer |
| topic | quantum computation online algorithms request-answer game online minimization problem computation with buffer |
| url | https://kpfu.ru/uz-eng-phm-2020-3-11.html |
| work_keys_str_mv | AT krkhadiev quantumonlinealgorithmsforamodeloftherequestanswergamewithabuffer AT dilin quantumonlinealgorithmsforamodeloftherequestanswergamewithabuffer |