Importance and Applications of Infinite Dimensional Non-Orthogonal Quantum State

This paper introduces remarkable achievement in theory on non-orthogonal state in quantum optics that can describe macroscopic quantum effect, and gives a survey of theorems in quantum information science based on non-orthogonal state. Then it is shown that these provide potential applications to Quantum Methodology such as quantum reading, quantum imaging and to Quantum Enigma Cipher which is a general model of physical cipher