Abstract
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
Highlights
Non-orthogonal quantum states in infinite dimensional space are playing a special role in foundation of quantum mechanics
I will give a general framework of a physical cipher as application of quantum detection theory and no cloning theorem for non-orthogonal states
Quantum Enigma Cipher is a general scheme for physical random cipher, which may be a generalization of KCQ
Summary
Non-orthogonal quantum states in infinite dimensional space are playing a special role in foundation of quantum mechanics. These performances in a real situation may be drastically improved by entangled state based on infinite dimensional state. It will be suggested for future works that quantum imaging has a potential of a real application for a new type of camera by connecting the original theory and Volterra-Wiener theory.
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