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Quantum Annealing for Prime Factorization.

Abstract：

:We have developed a framework to convert an arbitrary integer factorization problem to an executable Ising model by first writing it as an optimization function then transforming the k-bit coupling (k ≥ 3) terms to quadratic terms using ancillary variables. Our resource-efficient method uses [Formula: see text] binary variables (qubits) for finding the factors of an integer N. We present how to factorize 15, 143, 59989, and 376289 using 4, 12, 59, and 94 logical qubits, respectively. This method was tested using the D-Wave 2000Q for finding an embedding and determining the prime factors for a given composite number. The method is general and could be used to factor larger integers as the number of available qubits increases, or combined with other ad hoc methods to achieve better performances for specific numbers.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Jiang S,Britt KA,McCaskey AJ,Humble TS,Kais S

doi

10.1038/s41598-018-36058-z

subject

Has Abstract

pub_date

2018-12-05 00:00:00

pages

17667

issue

1

issn

2045-2322

pii

10.1038/s41598-018-36058-z

journal_volume

8

pub_type

杂志文章

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