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Factoring integers via Schnorr's algorithm assisted with VQE

Authors :
Cano, Luis Sánchez
Heras, Ginés Carrascal de las
Juan, Guillermo Botella
García, Alberto del Barrio
Publication Year :
2024

Abstract

Current asymmetric cryptography is based on the principle that while classical computers can efficiently multiply large integers, the inverse operation, factorization, is significantly more complex. For sufficiently large integers, this factorization process can take in classical computers hundreds or even thousands of years to complete. However, there exist some quantum algorithms that might be able to factor integers theoretically -- the theory works properly, but the hardware requirements are far away from what we can build nowadays -- and, for instance, Yan, B. et al. ([14]) claim to have constructed a hybrid algorithm which could be able even to challenge RSA-2048 in the near future. This work analyses this article and replicates the experiments they carried out, but with a different quantum method (VQE), being able to factor the number 1961.<br />Comment: 12 pages, 1 algortihm, 1 figure, 2 tables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2411.16632
Document Type :
Working Paper