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pro vyhledávání: '"prime factorization"'
In an earlier publication, the last two authors showed that a finite-dimensional module for a quantum affine algebra of type $A$ whose $q$-factorization graph is totally ordered is prime. In this paper, we continue the investigation of the role of to
Externí odkaz:
http://arxiv.org/abs/2410.01519
This paper presents a hybrid quantum-classical approach to prime factorization. The proposed algorithm is based on the Variational Quantum Eigensolver (VQE), which employs a classical optimizer to find the ground state of a given Hamiltonian. A numer
Externí odkaz:
http://arxiv.org/abs/2410.01935
Autor:
Mobin, Mahadee Al, Kamrujjaman, Md
Prime factorization has been a buzzing topic in the field of number theory since time unknown. However, in recent years, alternative avenues to tackle this problem are being explored by researchers because of its direct application in the arena of cr
Externí odkaz:
http://arxiv.org/abs/2407.05944
This paper builds on top of a paper we have published very recently, in which we have proposed a novel approach to prime factorization (PF) by quantum annealing, where 8,219,999=32,749x251 was the highest prime product we were able to factorize -- wh
Externí odkaz:
http://arxiv.org/abs/2406.07732
This paper investigates novel techniques to solve prime factorization by quantum annealing (QA). Our contribution is twofold. First, we present a novel and very compact modular encoding of a binary multiplier circuit into the Pegasus architecture of
Externí odkaz:
http://arxiv.org/abs/2310.17574
Akademický článek
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We report preliminary results on using the MEMCPU\texttrademark{} Platform to compute the prime factorization of large biprimes. The first approach, the direct model, directly returns the factors of a given biprime. The second approach, the congruenc
Externí odkaz:
http://arxiv.org/abs/2309.08198
Publikováno v:
Frontiers in Computer Science, Vol 6 (2024)
This paper builds on top of a paper we have published very recently, in which we have proposed a novel approach to prime factorization (PF) by quantum annealing, where 8, 219, 999 = 32, 749 × 251 was the highest prime product we were able to factori
Externí odkaz:
https://doaj.org/article/7d14476ac928410ebbcc7b123d293591
Autor:
Jun, Kyungtaek
Publikováno v:
Sci Rep 13, 10080 (2023)
The security of the RSA cryptosystem is based on the difficulty of factoring a large number N into prime numbers p and q satisfying N=p*q . This paper presents a prime factoriaation method using D-Wave quantum computer that can threaten the RSA crypt
Externí odkaz:
http://arxiv.org/abs/2301.06738
Autor:
Jung, Hyundo, Kim, Hyunjin, Lee, Woojin, Jeon, Jinwoo, Choi, Yohan, Park, Taehyeong, Kim, Chulwoo
Probabilistic computing has been introduced to operate functional networks using a probabilistic bit (p-bit), generating 0 or 1 probabilistically from its electrical input. In contrast to quantum computers, probabilistic computing enables the operati
Externí odkaz:
http://arxiv.org/abs/2210.14519