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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Limiting speed characteristics of optoelectronic communication channels in the number-state model

Mikhail A. Khodasevich, George V. Sinitsyn, Anatoly S. Yasukevich

Published May 24, 2000• 0 citations
Publisher

Abstract

We investigate some limiting characteristics of two- component optoelectronic system for information transmission on the base of number-state model and Brillouin's negentropy principle. The expression for the upper bound of the capacity of considered communication system is obtained. It is shown, that the capacity of the whole system is substantially limited by the speed characteristics of an optical subsystem. Only in the limited power range of optical signal it is determined by speed of the information transmission in an electronic subsystem. Such a consideration enables us to get deeper insight into the basic principles of information processing in channels with different nature of carriers.

DOI
10.1117/12.386839

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We investigate some limiting characteristics of two- component optoelectronic system for information transmission on the base of number-state model and Brillouin's negentropy principle. The expression for the upper bound of the capacity of considered communication system is obtained. It is shown, that the capacity of the whole system is substantially limited by the speed characteristics of an optical subsystem. Only in the limited power range of optical signal it is determined by speed of the information transmission in an electronic subsystem. Such a consideration enables us to get deeper insight into the basic principles of information processing in channels with different nature of carriers.
Information-rate densities in optical communication systems are investigated on the base of the number-state model. Results of numerical simulation show that the considered characteristics increase monotonically with increasing signal power, reducing passband width and environment temperature. For quasi-monochromatic optical communication channels quantum-statistical peculiarities of information carriers can not be taken into account at large enough singal powers when fluctuation noise can be neglected.
On the base of entropy defect principle the models are considered of narrow-band quantum communication channels and compared with the classic description of information channels. The classic model is shown to be applicable in a wide range of channels' parameters. But in the case of fermionic channels it is necessary to take into account that values of signal power and channel capacity are limited. These maximum values can be approximated by the simple expressions. Bosonic channels are free of these limitations. The rough quantum model of narrow-band bosonic channels gives too high values of capacity at low communication rate as compared with accurate one.
We analyze the information-capacity limitations of the optical communication channel, as determined by noise accumulation from optical amplification and nonlinear wave-mixing. We review the concepts of signal-to-noise ratio and entropy for binary-coded and continuous communications, leading to a definition of ultimate capacity for the optically-amplified channel. A unified quantum model, describing both amplification and nonlinearity limitations, makes possible to determine the power transmission window within which the channel capacity can be maximized.
Contemporary tendencies in developing computing and communication systems are, more than ever, pointing out the necessity of transfer from computer and information systems to the optic and even quantum ones [1–4]. Saturation of microelectronics potencies can be seen in the simple and obvious facts, i.e. slowdown of effectiveness increase rates for the classical Turing computing systems and transfer to multicore parallel computations in electronics, as well as greater attention is paid to the optical communication channels, memory and data transmission systems, which is due to high density of information pack in the optical spectrum of electromagnetic waves [5–7].Taking into account the classical Shannon’s understanding of the information quantity and specific characteristics of an optical communication channel, in this work, we are trying to draw a parallel between the classical communication channel and the quantum one, which enables us, in some simple cases, to consider the approximate dependence of maximum information transmission rate on the key characteristics of laser emitter, including the average transmission power, bandwidth, and polarization.
The applications of the general formulae of channel capacity developed in the quantum information theory to evaluation of information transmission capacity of optical channel are interesting subjects. In this review paper, we will point out that the formulation based on only classical-quantum channel mapping model may be inadequate when one takes into account a power constraint for noisy channel. To define the power constraint well, we should explicitly consider how quantum states are conveyed through a transmission channel. Basing on such consideration, we calculate a capacity formula for an attenuated noisy optical channel with genreral Gaussian state input; this gives certain progress beyond the example in our former paper.