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arXiv:quant-ph/9604001 · Open Systems & Information Dynamics

Mathematical techniques for quantum communication theory

Christopher A. Fuchs, Carlton M. Caves

Published Oct 1, 1995• 97 citations
arXivHTMLPDF
DOI
10.1007/bf02228997

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Abstract The communication of information by means of laser is an important technique. Therefore, it is necessary to construct a communication theory (quantum information theory) including quantum effects of laser action. Ohya, one of the authors, has studied the quantum communication channel and constructed a compound state for systematic formulation of the mutual information in quantum systems. In this paper, (1) we briefly review the mathematical formulation of quantum communication theory and (2) construct a physical model of the optical fiber communication process in order to examine the qualitative properties of the communication channel.
The book provides an overview of the most advanced quantum informational geometric techniques, which can help quantum communication theorists analyze quantum channels, such as security or additivity properties. Each section addresses an area of major research of quantum information theory and quantum communication networks. The authors present the fundamental theoretical results of quantum information theory, while also presenting the details of advanced quantum ccommunication protocols with clear mathematical and information theoretical background. This book bridges the gap between quantum physics, quantum information theory, and practical engineering.
Quantum cryptography is an approach to securing communications by applying the phenomena of quantum physics. Unlike traditional classical cryptography, which uses mathematical techniques to restrict eavesdroppers, quantum cryptography is focused on the physics of information. Quantum cryptography provides secure communication, whose security depends only on the validity of quantum theory, i.e., it is guarantied directly by the laws of physics. This is a substantial difference from any classical cryptographic techniques. This article summarizes the current state of quantum cryptography and provides potential extensions of its feasibility as a mechanism for securing existing communication systems