Quantum versus Classical Online Streaming Algorithms with Logarithmic Size of Memory

Kamil Khadiev; Aliya Khadieva; Dmitry Kravchenko; Alexander Rivosh; Ramis Yamilov; Ilnaz Mannapov

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arXiv · 1710.09595

Quantum versus Classical Online Streaming Algorithms with Logarithmic Size of Memory

Kamil Khadiev·Aliya Khadieva·Dmitry Kravchenko·Alexander Rivosh·Ramis Yamilov·Ilnaz Mannapov

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Abstract

We consider online algorithms with respect to the competitive ratio. Here, we investigate quantum and classical one-way automata with non-constant size of memory (streaming algorithms) as a model for online algorithms. We construct problems that can be solved by quantum online streaming algorithms better than by classical ones in a case of logarithmic or sublogarithmic size of memory.

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Kamil Khadiev, Aliya Khadieva, Dmitry Kravchenko, Alexander Rivosh, Ramis Yamilov, Ilnaz Mannapov. 2019-06-20. Quantum versus Classical Online Streaming Algorithms with Logarithmic Size of Memory. https://arxiv.org/abs/1710.09595

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