Researched
Quantum Algorithms (Shor)
Peter Shor shows that a quantum computer could factor large numbers quickly, turning quantum computer building into a global project.
Open in the interactive tree →Richard Feynman suggested in 1981 simulating quantum systems with quantum computers. In 1994 Peter Shor published a method for prime factorization in polynomial time, followed in 1996 by Lov Grover’s search algorithm. Shor’s algorithm threatens RSA and elliptic-curve cryptography and triggered the search for quantum error correction (Shor 1995) and for post-quantum cryptography.
Prerequisites
- Number Theory & Group Theory1801Shor's factoring relies on modular arithmetic and order finding from number theory
- Quantum Mechanics1925
- Turing Machine1936
- Information Theory1948
- Public-Key Cryptography1976Shor's target, factoring, is the hard problem behind RSA