Factoring very large numbers into their prime "building blocks" is extremely difficult for classical computers, and this difficulty underlies the security of many cryptographic algorithms. While it's ...

Prime factorization is the process of expressing an integer as the product of prime numbers only. For example, 140 would be expressed as 2x2x5x7. For each integer, there is only one correct ...

Abstract: A matrix factorization problem is considered. The matrix is algebraic and belongs to the Jones–Moiseev class. A new method of factorization is proposed. The matrix factorization problem is ...

Abstract: Generally, cryptographic algorithms are based on NP-Complete problems like prime factorization, discrete logarithm etc. The difficulties of RSA and Rabin cryptographic algorithms are based ...

Ever wonder how quantum computers might change the world? One big area people talk about is factoring numbers. It sounds kind of boring, right? But it’s actually a huge deal for how we keep our online ...

ABSTRACT: In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a ...

Description and implementation of the Shor's algorithm (to solve the prime factorization problem) using the IBM SDK Qiskit and the framework ProjectQ.