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arXiv · 2504.09595

Distributed quantum algorithm for discrete logarithm problem

Hao Li·Daowen Qiu
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Abstract

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.

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Hao Li, Daowen Qiu. 2025-04-13. Distributed quantum algorithm for discrete logarithm problem. https://arxiv.org/abs/2504.09595

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