The Information Coding in the Time Structure of the Object of a Laser Pulse in an Optical Echo Processor

The encoding of information in time intervals of an echelon of laser pulses of an object pulse in the optical echo processor is considered. The measures of information are introduced to describe the transformation of classical information in quantum information. It is shown that in the description of information transformation into quantum information, the most appropriate measure is a measure of quantum information based on the algorithmic information theory. 1. Introduction The methods of dynamical echo holography allow processing and storage of the information, which is carried by object laser pulses. They have prospects on creation of high-speed optical echo-processors [1]. In this case, the information can be incorporated in the amplitude and temporal shape of the exciting laser pulses, in their wave fronts and polarization and also in echelons of laser pulses. Demonstration of frequency-selective optical memory, where the data recording and processing of data occurs both in the time domain and in the frequency slot, is described in [2]. The echo-processor based on use of long-lived photon echo has been proposed in [3]. The design of this processor is given an opportunity to demonstrate the density of information recording and processing about several gigabits/cm2 in [4], using compression and tension of data signals through a rapid change of the carrier frequency. From the point of view of the information theory, it is possible to present an echo-processor as an information channel with memory and noise, in an input and output of which the information has a classical appearance and inside of the channel quantum. This channel provides the information transmission and transformation between the different moments in time and directions in space. Common channel features are the information rate, throughput rate, and use factor. Attempts to describe the quantum information processes in general relied on the formulae of classical information theory, which was operated with the quantum probabilities, rather than amplitudes. In [5] it has been shown that the von Neumann entropy has the information and theoretical value asymptotically characterizing the minimal quantum resources required to describe the ensemble of quantum states. This suggests that the enhanced information theory should be defined as a theory which takes into account the quantum phases explicitly. For example, the theory, developed in [6], describes a quantum system, divided into many parts, using only density matrix and von Neumann entropy. This theory includes the Shannon theory as a