Distribuição quântica de chave secreta utilizando mapas de Shannon-Kotel'nikov.

Abstract

In this thesis, the contributions are done in the quantum key distribution’s area. These contributions have used the theories of Shannon-Kotelnikov mapping and continuous variables in quantum mechanics to give synthesis to the proposed and analyzed protocol. It is used bimodal squeezed states in addition to curves in flat torus. In our protocol, which is adaptive in term of the channel noise level, was demonstrated that the mutual information between Alice and Bob is greater than between Alice and Eve. Therefore, we developed a method capable to generate and transmit a secret key even when the channel noise level is higher than the values currently accepted, by manipulating only parameters related to the variance of the quadrature. For higher compression values and more noisy channels, the produced key still remain secret when Eva uses the beam-sppliting attack.