An Efficient Quantum Algorithm for the Hidden Subgroup Problem over some Non-Abelian Groups

Autores

  • Demerson Nunes Gonçalves CEFET/RJ - Campus Petrópolis
  • Tharso D Fernandes
  • C M M Cosme

DOI:

https://doi.org/10.5540/tema.2017.018.02.0215

Palavras-chave:

Quantum Algorithms, Hidden Subgroup Problem, Quantum Computational Group Theory

Resumo

The hidden subgroup problem (HSP) plays an important role in quantum computation, because many quantum algorithms that are exponentially faster than classical algorithms are special cases of the HSP. In this paper we show that there exist a new efficient quantum algorithm for the HSP on groups $\Z_{N}\rtimes\Z_{q^s}$ where $N$ is an integer with a special prime factorization, $q$ prime number and $s$ any positive integer.

Referências

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Publicado

2017-08-24

Como Citar

Gonçalves, D. N., Fernandes, T. D., & Cosme, C. M. M. (2017). An Efficient Quantum Algorithm for the Hidden Subgroup Problem over some Non-Abelian Groups. Trends in Computational and Applied Mathematics, 18(2), 215. https://doi.org/10.5540/tema.2017.018.02.0215

Edição

v. 18 n. 2 (2017)

Seção

Artigo Original

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