English

Quantum versus Classical Online Streaming Algorithms with Logarithmic Size of Memory

Computational Complexity 2019-06-21 v3 Data Structures and Algorithms Formal Languages and Automata Theory Quantum Physics

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.

Keywords

Cite

@article{arxiv.1710.09595,
  title  = {Quantum versus Classical Online Streaming Algorithms with Logarithmic Size of Memory},
  author = {Kamil Khadiev and Aliya Khadieva and Dmitry Kravchenko and Alexander Rivosh and Ramis Yamilov and Ilnaz Mannapov},
  journal= {arXiv preprint arXiv:1710.09595},
  year   = {2019}
}
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