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

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Summary

Introduction

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.

Quantum optical field
Basis of entanglement
For pure states we can rewrite
Entanglement of orthogonal states
Mixtures of quasi Bell entangled coherent states
Application of entangled coherent state
Generation of Propagating Entangled Coherent State
If one subsequently performs a measurement on the atom in the
Main Theorems in Quantum Information Science
Classical capacity for quantum Gaussian channel
Quantum data compression
Quantum illumination
Quantum reading
Quantum ghost imaging
Quantum Enigma Cipher
Definition of quantum enigma cipher
Security analysis
Conclusion
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