Shor proposed multiple similar algorithms for solving the factoring problem, the discrete logarithm problem, and the period-finding problem. "Shor's algorithm" usually refers to the factoring algorithm, …

Jul 19, 2022 · To hear the full-length story of the discovery of Shor’s Factoring Algorithm, as told by Professor Peter Shor himself, watch here on Qiskit’s YouTube, or to hear a shorter, animated version …

Jul 26, 2025 · Shor’s Factorization Algorithm is proposed by Peter Shor. It suggests that quantum mechanics allows the factorization to be performed in polynomial time, rather than exponential time …

In this essay, I will explore some of the fascinating mathematics behind Shor’s algorithm and attempt to explain it. I will aim to achieve this in three steps: Firstly, I will explain how the classical factoring part …

Shor didn't describe his algorithm specifically in terms of phase estimation, but it is a natural and intuitive way to explain how it works. We'll begin by discussing an intermediate problem known as the order …

May 8, 2025 · In this deep technical dive, we’ll explore exactly how Shor’s Algorithm works, why it’s efficient on a quantum computer, and what makes this possible (yes, the Quantum Fourier Transform …

INTRODUCTION: We describe Shor’s algorithms for using a quantum computer to factor an odd integer n > 0, not a prime power, and to solve the discrete log problem (section 6).

Shor is powerful, but it requires large, fault-tolerant quantum computers to beat classical factoring at cryptographically relevant sizes. On today’s noisy devices, it is mostly a conceptual landmark and a …

Shor’s algorithm is the first quantum algorithm that solves a real-world problem exponentially faster than the best-known classical algorithm. Its discovery motivated a lot of interest in quantum computing.

A detailed set of references provided at the end of this presentation that expands in detail the complexity of the calculations needed to prove Shor’s algorithm