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Optical Memory and Neural Networks

Influence of laser parameters on information capacity of communication channel

S. A. Shoydin

Published Oct 1, 2014• 4 citations

Abstract

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.

DOI: 10.3103/s1060992x14040122

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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.

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.

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.

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 will begin with a simple type of stationary stochastic1 systems of quantum physics using them within a frame of the Shannon Information Theory and Thermodynamics but starting with their algebraic representation. Based on this algebraic description a model of information transmission in those systems by defining the Shannon information will be stated in terms of variable about the system state. Measuring on these system is then defined as a spectral decomposition of measured quantities operators. The information capacity formulas, now of the narrow-band nature, are derived consequently, for the simple system governed by the Bose–Einstein (B–E) Law [bosonic (photonic) channel] and that one governed by the Fermi-Dirac (F–D) Law [fermionic (electron) channel]. The not-zero value for the average input energy needed for information transmission existence in F–D systems is stated [11, 12].

The information capacity of various communications systems is considered. Quantum effects are taken fully into account. The entropy of an electromagnetic wave having the quantum statistical properties of white noise in a single transmission mode is found, and from it the information efficiency of various possible systems may be derived. The receiving systems considered include amplifiers, heterodyne and homodyne converters and quantum counters. In the limit of high signal or noise power (compared to hνB, where h is Planck's constant and ν and B are, respectively, the center frequency and bandwidth of the channel) the information efficiency of an amplifier can approach unity. In the limit of low powers the amplifier becomes inefficient, while the efficiency of the quantum counter can approach unity. The amount of information that can be incorporated in a wave drops off rather rapidly when the power drops below hνB.

Abstract A brief general review is presented of the theory of information transmission capacities of quantum communication channels, which is a development of the classical Shannon theory. Unlike a classical communication channel, a quantum channel is characterised by a whole set of different capacities, which depend on the type of transmitted information (classical or quantum) and on additional resources used during transmission. The main characteristics of a quantum channel are considered: classical capacity, capacity assisted by entanglement between the channel input and output, quantum capacity and secret classical capacity. The unique role of the quantum entanglement property, which manifests itself, in particular, in a nonclassical phenomenon of capacity superadditivity, is emphasised.