The State of Factoring on Quantum Computers

Author Willsch D.; Hanussek P.; Hoever G.; Willsch M.; Jin F.; De Raedt H.; Michielsen K.
Title The State of Factoring on Quantum Computers
Journal NIC Symposium 2025
Year 2024
Status Published
DOI 10.34734/FZJ-2025-01965
URL https://arxiv.org/abs/2410.14397
Abstract <p>We report on the current state of factoring integers on both digital and analog quantum computers. For digital quantum computers, we study the effect of errors for which one can formally prove that Shor's factoring algorithm fails. For analog quantum computers, we experimentally test three factorisation methods and provide evidence for a scaling performance that is absolutely and asymptotically better than random guessing but still exponential. We conclude with an overview of future perspectives on factoring large integers on quantum computers.</p>