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, …

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 of this story, …

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 …

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 …

What is Shor's algorithm? Shor's algorithm is a quantum algorithm for finding the prime factors of an integer.

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.

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).

Jul 1, 2022 · Shor's algorithm is perhaps the most famous of all quantum algorithms. First published in 1994, it is often credited with propelling the surge of interest in quantum computing development that …

oblem: given N = pq where p, q are prime numbers, find p and q. The best classical algorithms we know for . his problem run in 2O(n1/3) time, where n = log N and N ≈ 2n. This problem has important …

This is a classically difficult problem, and hence forms the basis of some very well-known public-key cryptography schemes, such as RSA (see Exercise 10.12.1), but Shor’s algorithm offers a distinct …