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IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

Some Ideas of Modulation Systems for Quantum Communications (Special Section on Information Theory and Its Applications)

Masao Osaki, Masao Nakagawa

Published Sep 25, 1993• 0 citations
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Some Ideas of Modulation Systems for Quantum Communications

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The application of information feedback to amplitudemodulated (AM) laser communication systems used to transmit the value, of a continuous parameter is considered. The laser system is assumed to be quantum-noise limited. The particular information feedback technique used is here termed feedback averaging. It is found that the use of this technique improves the accuracy of the estimate of the parameter at the receiver over a corresponding one-way system. The effect of a multiplicative error (slow fading for example), background shot noise, and the fluctuation in the photon arrivals at the receiver due to the laser itself are considered. Both experimental and simulation results bear out the analysis. A Chebyshev bound for the probability of error is derived for the special case of anM-ary AM system, both with and without feedback.
Based on the stochastic differential equation of quantum mechanical feedback obtained in the first part of this paper, detailed control concepts and applications are discussed for quantum systems interacting with a noncommutative noise source. A feedback system in our framework is purely nonclassical in the sense that feedback control is performed via local operation and quantum communication through a quantum channel. The role of the controller is to alter the quantum dynamic characteristics of the plant through entanglement, shared between the plant and controller by sending quantum states, that is modulated by the Hamiltonian on the controller. The input-output relation of quantum systems provides a natural extension of control theory to the quantum domain. This enables one to present a control theoretical interpretation of some fundamental quantum mechanical notions such as the uncertainty principle, but also to find applications of ideas and tools of control theory. One of the most important applications is the production of squeezed states, which has been an important issue of quantum theory in relation to quantum computation and quantum communication. The method proposed here reduces the application to a conventional noise reduction problem with feedback. The H/sub /spl infin// control then leads to complete squeezing.