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Factoring $2048$ bit RSA integers with a half-million-qubit modular atomic processor

Curator's Take

This paper represents a crucial milestone in making Shor's algorithm practically viable by demonstrating how to distribute the enormous computational load across multiple quantum modules rather than requiring a single massive quantum computer. The researchers show that factoring 2048-bit RSA encryption—the backbone of current internet security—could be achieved with only a 16% time penalty compared to an idealized single-module system, using a distributed architecture of atomic quantum processors. What makes this particularly significant is that it provides the first comprehensive blueprint for how quantum computers might actually be built at the scale needed to break real-world cryptography, moving beyond theoretical possibility to engineering reality. This work essentially charts a roadmap for when and how quantum computers could pose a genuine threat to current encryption standards, making it essential reading for both quantum researchers and cybersecurity professionals.

— Mark Eatherly

Summary

Shor's algorithm is one of the most promising applications of quantum computers. However, since $\sim 10^6$ physical qubits are believed to be required for established approaches, the algorithm will need to be distributed across many modules. In this paper, we provide a distributed compilation of Shor's algorithm on a modular atomic processor. We present an end-to-end compilation and optimization strategy that focuses on the interplay between the inter-module communication and the intra-module clock rate. With a half-million-qubit modular atomic processor with a communication rate of $10^5$ Bell pairs per second and a measurement time of 1 ms in a CPU-inspired architecture, we demonstrate that 2048-bit RSA integers can be factored in only 16\% more time than a single-module architecture. Our work presents the first end-to-end analysis and simulation of large-scale integer factorization on modular atomic hardware and it provides a blueprint for the future design of other large-scale modular algorithms.