Work

An Efficient Quantum Factoring Algorithm

Year: 2024
Type: article
Abstract: We show that n -bit integers can be factorized by independently running a quantum circuit with \(\tilde{O}(n^{3/2})\) gates for \(\sqrt {n}+4\) times, and then using polynomial-time classical post-processing. The correctness of the algorithm relies on a certain number-theoretic conjecture. It is currently not clear if the algorithm can lead to improved physical implementations in practice.
Author: Oded Regev
Institution: New York University
Language: English
Open Access status: green
OpenAlex ID: W4405331036
FWCI: 5.905
Cites: 16
Cited by: 41
Related to: 10