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

2026/05/05 by Tian Xue, Jacob P. Covey · 1 voice
Physics and Astronomy · #quant-ph #physics.atom-ph

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Abstract

Shor's algorithm is one of the most promising applications of quantum computers. However, since ∼ 106 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 105 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.

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