Shor量子算法破解RSA的实验实现

Aminah Albuainain, Jana Alansari, Samiyah Alrashidi, Wasmiyah Alqahtani, Jana Alshaya, Naya Nagy
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摘要

如今,量子计算是一个重要的话题,因为它允许在很短的时间内完成计算。使用量子计算机(QC)的目标是解决越来越多的问题,这些问题以前难以用传统计算来解决。经典方法使用由0和1组成的比特,而QC使用量子位。经典计算受到存储容量和计算速度的限制,即使在对其进行并行计算时也是如此。与传统方法相比,量子并行允许存储以指数方式减少,并具有更短时间的潜力。此外,Peter Shor算法可以在多项式时间内解决RSA中使用的因数分解问题,而在经典计算机中,任何大整数的因数分解都是棘手的。本研究的目的是探索和实现量子计算方案,以及肖尔算法如何破解RSA算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Experimental Implementation of Shor's Quantum Algorithm to Break RSA
Nowadays, quantum computing is an important topic since it allows computations to be completed in a small amount of the time. The goal of using quantum computers (QC) is to solve an increasing number of problems that were previously intractable to address with traditional computing. The classical approaches work with bits, which are made up of 0s and 1s, whereas QC uses qubits. Classical computing is limited by storage capacity and speed of calculations, even when parallel computation is conducted on it. Compared to traditional methods, quantum parallelism allows the storage to be reduced exponentially with the potential of a shorter amount of time. Besides, Peter Shor's algorithm can solve the factorization problem used in RSA in polynomial time, whereas in a classical computer, factoring any big integer is intractable. The purpose of this research is to explore and implement quantum computing schemes and how Shor's algorithm can break RSA algorithms.
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