Post Quantum Cryptography from Mutant Prime Knots

Abstract

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme combines an asymmetric public key protocol with symmetric private ones and is intrinsecally secure against quantum eavesdropper attacks.

14 pages, 5 figures

References in corpus (4)

• Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories
• A new algorithm for recognizing the unknot
• Quantum geometry and quantum algorithms
• Algorithms for recognizing knots and 3-manifolds

Cited by in corpus (1)

• Evaluating the Jones polynomial with tensor networks