A Paradigm Shift from Point to Region in Quantum Logic

Logic plays a fundamental role in computer science. The way a computer works is closely related to the laws of the used logic. Both quantum logic and quantum information are based on viewing quantum mechanics in terms of concepts closely tied to information. Therefore quantum logic is closely connected to quantum information. Logic might serve as a useful tool for investigating problems in quantum computing. This article attempts to provide an idea in Quantum Information. This idea is based on shifting from point wise computing to a logical based computing. It could be the first step of a paradigm shifting from ordinary geometrical and topological computation to Quantum Computation and Quantum Information as well. We provide convincing evidence of this theory, by demonstrating how it can provide a framework model of topological relations based on Quantum Logic. Therefore, it could play an important role to define some new quantum algorithm which runs on a model of quantum computation.