Quantum information conservation

Marco Roncaglia

Wen-Ran Zhang

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.

Gabriella Graziano

Kawasaki, Hideyo

We complete the Information Series of the Conservative Motion Theory (CMT) byformulating a universal principle of information conservation that unifies classical information,statistical geometry, quantum information, and observer-dependent learning systems. Everylearning process—human cognition, AI training, or quantum measurement—is governed by asingle Fredholm information spectrum whose κ → 0+ limit yields a conserved quantity acrossclassical, geometric, and quantum domains. This provides a unified theory of information,cognition, and artificial intelligence within the CMT framework.

Jochen Pade