New Directions in Quantum Chaotic Crypto Schemes

Abstract

The non-linear part of the chaotic cryptography when handled through quantum dynamics can be termed as "Quantum Chaotic cryptography". A novel approach using quantum chaos that could aid the cryptographers in the development of cryptographic design is proposed. The dynamics in quantum setup is analyzed through energy packets. The geometry that explains these coordinates is a Riemannian geometry with a line element given by a metric ds2 = gij dxi dxj, where xi is the position vector, gij is the fundamental metric of a covariant tensor of rank 2. With this fundamental form we obtain the difference equation for a geodesic. By allowing encryption to occupy the geodesic, we achieve time and space complexity of the systems.