Chaotic Quantum Cryptography

Quantum cryptographic systems use quantum mechanical concepts that are based on qubit superposition of states, and on the no cloning or no copying theorem to establish unbreakable cipher keys. Using optical communications the most commonly quantum mechanical property used is the polarization state of photon. However, in most quantum cryptographic algorithms a random polarization state is required. In this case, the random number generator should not be publically known, and it should be preferably reproducible. A naturally reproducible RNG can be produced using chaos functions. In this paper we review a quantum key distribution algorithm and chaos functions as RNGs. We then describe how chaos functions can be used in quantum key establishment and also a method that requires substantially fewer bits in the stream to establish the key and also a faster method.