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Regev recently introduced a quantum factoring algorithm that may be perceived as a $d$-dimensional variation of Shor's factoring algorithm.
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M. Ekerå: On post-processing in the quantum algorithm for computing short discrete logarithms. Des. Codes Cryptogr. 88(11) (2020), 2313–2335
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M. Ekerå: Quantum algorithms for computing general discrete logarithms and orders with tradeoffs. J. Math. Cryptol. 15(1) (2021), 359–407
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M. Ekerå: On completely factoring any integer efficiently in a single run of an order-finding algorithm, Quantum Inf. Proc. 20:205 (2021), 1–14
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M. Ekerå: Revisiting Shor’s quantum algorithm for computing general discrete logarithms. ArXiv 1905.09084v3 (2019–2023)
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M. Ekerå: On the success probability of the quantum algorithm for the short DLP. ArXiv 2309.01754v1 (2023)
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M. Ekerå and J. Gärtner: Simulating Regev’s quantum factoring algorithm. GitHub repository ekera/regevnum (2023)
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M. Hhan, T. Yamakawa and A. Yun: Quantum Complexity for Discrete Logarithms and Related Problems. ArXiv 2307.03065 (2023)
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C. Gidney and M. Ekerå: How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits. Quantum 5, 433 (2021)
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M. Ekerå: On the success probability of quantum order finding. ArXiv 2201.07791v2 (2022)
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S. Ragavan and V. Vaikuntanathan: Optimizing Space in Regev’s Factoring Algorithm. ArXiv 2310.00899v1 (2023)
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O. Regev: An Efficient Quantum Factoring Algorithm. ArXiv 2308.06572v2 (2023)
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