Distributed quantum algorithm for discrete logarithm problem

Fuente: arXiv
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Autores principales: Li, Hao, Qiu, Daowen
Formato: Preprint
Publicado: 2025
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author Li, Hao
Qiu, Daowen
author_facet Li, Hao
Qiu, Daowen
contents The quantum algorithm with polynomial time for discrete logarithm problem proposed by Shor is one of the most significant quantum algorithms, but a large number of qubits may be required in the Noisy Intermediate-scale Quantum (NISQ) era. The main contributions of this paper are as follows: (1) A distributed quantum algorithm for discrete logarithm problem is designed, and its space complexity and success probability exhibit certain advantages to some extent; (2) The classical error correction technique proposed by Xiao and Qiu et al. is generalized by extending three bits to more than three bits.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09595
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributed quantum algorithm for discrete logarithm problem
Li, Hao
Qiu, Daowen
Quantum Physics
The quantum algorithm with polynomial time for discrete logarithm problem proposed by Shor is one of the most significant quantum algorithms, but a large number of qubits may be required in the Noisy Intermediate-scale Quantum (NISQ) era. The main contributions of this paper are as follows: (1) A distributed quantum algorithm for discrete logarithm problem is designed, and its space complexity and success probability exhibit certain advantages to some extent; (2) The classical error correction technique proposed by Xiao and Qiu et al. is generalized by extending three bits to more than three bits.
title Distributed quantum algorithm for discrete logarithm problem
topic Quantum Physics
url https://arxiv.org/abs/2504.09595