Publications
Article · Mathematics · January 4, 2022
Quantum and Classical Log-Bounded Automata for the Online Disjointness Problem
Kamil Ravilevich Khadiev, Aliya Khadieva
Abstract
We consider online algorithms with respect to the competitive ratio. In this paper, we explore one-way automata as a model for online algorithms. We focus on quantum and classical online algorithms. For a specially constructed online minimization problem, we provide a quantum log-bounded automaton that is more effective (has less competitive ratio) than classical automata, even with advice, in the case of the logarithmic size of memory. We construct an online version of the well-known Disjointness problem as a problem. It was investigated by many researchers from a communication complexity and query complexity point of view.
Optimization and Search Problemssemigroups and automata theoryQuantum Computing Algorithms and Architectureonline algorithmscompetitive ratioone-way automata
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