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International Conference on Information Assurance and Security (IAS)

Chaotic Quantum Cryptography

Stamatios V. Kartalopoulos

Published Sep 1, 2008• 5 citations
Publisher

Abstract

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.

DOI
10.1109/ias.2008.32

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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.
As the sophistication of intruders' increases, so does the incidents of information integrity breaches and network attacks. In response, very complex cryptographic processes have started being employed, such as chaos theory and quantum theory, in an effort to create the “holy grail” of cryptographic systems and network security. Quantum theory defines the non-classical qubit, which is the superposition of quantum states having no classical analog. It is also based on the “no cloning” and “no copying” theorem and on the Heisenberg's uncertainty. The quanto-mechanical properties of photons and the quantum mechanics provide a superb platform for communications security and particularly in secure optical communication networks, known as quantum cryptography and quantum networks, respectively. Chaos is based on the particular behavior of certain non-linear functions, which for a minute change of parameters produce a huge and unstable output, known as the “chaotic regime”. However, this chaos can be reproducible, which makes it attractive to secure communications. Thus, the combined Chaos and Quantum theories play a synergistic role in the quest for the “holy grail” in communications security. In this talk we explain with simple examples quantum cryptography and protocols, as well as chaos and chaotic processes. We also describe the synergy of chaos and quantum theories as well as the increased efficiency and speed of the quantum key establishment.
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.
The last two decades have witnessed an exciting advanced research field that stems from non-classical atomic theory, the quantum mechanics. This research promises an interesting applicability in computation known as quantum computation, and also in secure data communications, known as quantum cryptography Quantum cryptography capitalizes on the inherent random polarization state of single photons, which are associated with binary logic values. Because the polarization state of a photon is not reproducible by an eavesdropper between the source and the destination polarized photons are used with an intelligent algorithm to disseminate the cryptographic key with high security from he source to the destination, a process known as quantum key distribution. However, although the polarization state of a photon remains intact in free- space propagation, it does not remain so in dielectric medium and thus quantum cryptography is not problem- free. In this paper we review quantum cryptography and we identify the various steps in the quantum key identification process. We then analyze and discuss issues related to quantum key distribution that rise in pragmatic fiberoptic transmission and in communication network topologies. In addition, we identify a major weakness of the method that is prone to attacking and which incapacitates quantum cryptography in fiber communications.
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Quantum Cryptography is based on the use of subatomic particles (photons) and their intrinsic quantum properties (photon polarization) to develop an unbreakable system. It is not possible to measure the quantum state of any system without affecting the system. This property provides secure transmission of key between sender and receiver. Quantum Cryptography is a way to combine the relative ease and convenience of key exchange in public key cryptography with the ultimate security of a one-time pad. Quantum techniques for key distribution, the classically impossible task of distributing secret information over an insecure channel whose transmissions are subject to inspection by an eavesdropper, between parties who share no secret key initially. Quantum Cryptography uses the principles of Quantum Mechanics to implement a cryptographic system. The key problem which is solved by using quantum techniques is that of eavesdropping detection. The bits are represented as qubits, physically modeled by photons, and communicated over a quantum channel. The polarization states of photons represent 0's and 1's. Keyword: Asymmetric key, Cryptography, Protocols, Quantum, symmetric key
This paper introduces an algorithmic cryptographic system predicated on dynamic key generation utilizing quantum-enhanced random number generation. Traditional cryptographic methods rely on deterministic processes and computational complexity, making them susceptible to various attacks. We propose a novel approach that leverages quantum superposition and entanglement to produce keys with substantially higher entropy and resistance to known attacks. The core mechanism centers around establishing a 'seed' – a fundamentally unpredictable state – within a quantum system that serves as the foundation for generating truly random keys. The system's design incorporates advanced quantum algorithms to enhance the randomness and security of key creation. This research explores the potential of quantum-enhanced randomness to revolutionize key generation, offering a significant advancement over existing methods.