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Lecture notes in physics

Quantum Information, Computation and Cryptography

Fabio Benatti, M. Fannes, Roberto Floreanini B, Dimitri Petritis

Published Jan 1, 2010• 57 citations
Publisher
DOI
10.1007/978-3-642-11914-9

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ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing (SNPD)•Jul 1, 2007•0 citations
A cellular transformation of bipolar fuzzy sets to quantum intelligence (QI) machinery is presented based on an axiomatic formulation of equilibrium-based business intelligence (EBBI) and information conservational quantum-fuzzy cryptography (ICQFC). It is proven that any active bipolar cognitive map can be normalized to a bipolar quantum-fuzzy cognitive map-the logical equivalent of an information conservational bipolar quantum-fuzzy logic gate for equilibrium-based quantum cellular rebalancing. Such rebalancing leads to EBBI and ICQFC-an unexpected combination with unexpected synergy. Applicability of one EBBI algorithm and two ICQFC algorithms are illustrated. Information theoretic security and scalability of ICQFC are proved as a computational intelligence testbed for postquantum cryptography. It is argued that, while the illogical aspect of quantum mechanics prevents quantum computing from lending itself as an analytical paradigm, EBBI and ICQFC constitute a cellular transformation of bipolar fuzzy sets to high precision QI machinery-an equilibrium-based analytical paradigm for ubiquitous quantum modeling and quantum-digital compatible computing. A QI architecture is drafted. A QI transfer protocol is illustrated with ICQFC for EBBI. QI is, thus, distinguished by its ubiquitous, analytical, transferable, and quantum-digital compatible properties. It is asserted that QI as the most generic genre of intelligence underpins artificial and biological intelligence with mathematical, philosophical, and scientific distinctions. It is expected that through QI the research field of fuzzy sets and systems is destined to advance to the forefront of modern science including but not limited to brain science and quantum information science.
Aim: This paper aims to examine the concepts of cybersecurity and cryptography with the advent of the current quantum computing. Significance of Study: The numerous advantages attached to the use of the hyper-connected paradigm have given an inestimable and unavoidable value to its use. However, there is a need to protect information dissemination between parties to avoid the occurrence of catastrophic events that may come when an unauthorized party accesses this information. Thus, the use of quantum computing to improve the previously used cryptography for cybersecurity is very essential. Problem Statement: In the past, cryptography was the adopted method to secure information in the cyber world thereby, preventing attack and also disallowing intruders from having access to secret information. However, the advent of quantum computing to improve the efficiency of cryptography has made its application very challenging due to its complex nature. Discussion: An introduction to cryptography, cyber security, and quantum computing was executed. The mechanisms of cryptography in cyber security together with its transition into quantum cryptography were discussed. Characteristics of quantum information and quantum communication systems regarding typical examples were stated. Post-quantum cryptography as a means of handling the challenges accorded with the use of quantum cryptography was discussed. Finally, consideration was given to the development and applications of the SWOT framework for various kinds of cryptographic algorithms. Conclusion: The use of quantum cryptography has found wide applications in cybersecurity. Also, post-quantum cryptography has been proven to be effective in handling issues arising from the use of quantum cryptography in securing information from being accessed by a third party.
Quantum computation has important impacts on information security and modern cryptography. In 1994, Shor demonstrated that the problem of finding the prim factors of an integer, and the so called "discrete logarithm problem" could be solved efficiently on a quantum computer. Quantum information can also be proved to devise unconditionally secure cryptography protocols. In this paper, we introduce the most recent research progress in quantum information security and quantum coding theory and review several quantum quantum cryptography protocols that we have proposed.