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arXiv · 1802.05134

Quantum versus Classical Online Streaming Algorithms with Advice

Kamil Khadiev·Aliya Khadieva·Mansur Ziatdinov·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, even if classical online algorithms get advice bits. Furthermore, we show that a quantum online algorithm with a constant number of qubits can be better than any deterministic online algorithm with a constant number of advice bits and unlimited computational power.

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Kamil Khadiev, Aliya Khadieva, Mansur Ziatdinov, Dmitry Kravchenko, Alexander Rivosh, Ramis Yamilov, Ilnaz Mannapov. 2018-02-13. Quantum versus Classical Online Streaming Algorithms with Advice. https://arxiv.org/abs/1802.05134

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