The safety of quantum cryptography relies on the no-cloning theorem. In secret quantum communications, an eavesdropper cannot clone the sent qubits perfectly, however the best eavesdropping attacks for quantum cryptography are based on imperfect cloning machines. The eavesdropper’s physically allowed quantum evolutions on the sent qubit can be described in terms of the quantum state’s geometry....

We propose new multivariate cryptosystems over n-dimensional vector space over a finite field Fq based on idea of hidden discrete logarithm problem for F ∗ q. These cryptosystems are based on hidden eulerian equations x = a, (α, q − 1) = 1. The method is based on the idea of Eulerian transformations, which allow us to use asymmetric algorithms based on families of nonlinear multiplicatively inj...

Quantum cryptography is an emerging technology in the field of cryptographic systems where quantum mechanics is used to guarantee secure communication between two parties. In simple terms, quantum cryptography uses the principles of quantum mechanics to provide communication between two parties where eavesdropping can be detected by both the sender and the receiver. The first commercial applica...