Plenary lecture I: chaos and its applicability to communications and security

Stamatios V. Kartalopoulos

Published Dec 15, 2008• 0 citations

Abstract

The number of security breaches and network attacks increases as well as the sophistication of intruders and bad actors. To increase information integrity and network security, very complex processes are enlisted in cryptographic systems, such as chaos theory and quantum theory. Chaos is based on the particular behavior of certain non-linear functions, which for a minute change of parameters produce a very large and unstable output, known as the chaotic regime. However, this chaos is reproducible, which makes it attractive to secure communications. Quantum theory defines the non-classical qubit, which is a superposition of quantum states. In addition, it defines the no cloning or no copying (of qubit) theorem. Both, the qubit and the no-cloning theorem, along with the quanto-mechanical properties of photons, find applicability to a new breed of cryptography and secure optical communications known as quantum cryptography and quantum networks, respectively. In this talk we explain chaos and chaotic processes with simple examples, as well as quantum cryptography. We then describe how chaos functions are used in quantum cryptography to increase efficiency and speed of the quantum key establishment.

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