Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

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

Input and output principles of quaternion information in optical echo-processor

Anatolii N. Leukhin, Ivan I. Popov, Andrey M. Gladyshev, K.Sh. Gazizov, L. G. Kornilova

Published Jan 24, 2006• 0 citations
Publisher

Abstract

Principle possibility of construction of optical echo-processors with hypercomplex architecture on the basis of physics of photon echo for computational process is shown. Mathematical basis of presentation of quaternion type in optical echo processor is developed. Coding and decoding protocols of information processing with quaternion type are offered. Example of calculating quaternion Fourier transform is demonstrated.

DOI
10.1117/12.675026

Related papers

Physical principles of realization of quantum evaluations in technique of a photon echo

Ivan I. Popov

This work is dedicated to investigation the properties and opportunities of photon echo with the purpose of development the physical principle of embodying the optical evaluations on a superposition state of the group of excited particles of resonant gas, which could serve as a basis for increasing of features of quantum information processing regime which is supposed in work. One of the possible physical representations of a quaternion in the signal of photon echo is offered. The principle of the optical echo-processor operation is described to fulfill the operations with quantities which are introduced by quaternions. The example of optical transformation of quaternion quantity in the optical echo-processor is given.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 20, 2004•0 citations

Photon echo as a method of optical processor construction for realization of computing operations above hypercomplex numbers

Vera T. Nigmatullina, Ivan I. Popov, Vadim A. Kozlov +1 more

We inform on modelling a photon echo (PhE) shaping conditions as analog process which substitutes a part of labourconsuming computing operations at numerical calculation PhE in a formalism of quaternions algebra, and about its application for a computer construction (CC) for quaternion magnitudes.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Mar 3, 2008•1 citation

Photon echo possibilities with information processing in hypercomplex space

Anatolii N. Leukhin, Ivan I. Popov

Mode of photon echo (PE) exciting is theoretically considered, when in quality the pulse-code is used a set of pulses with the different time and polarizing characteristics. It is offered to consider a combination of polarizing and peak-time characteristics of a PE signal in algebra of quaternion. A principle of information processing with quaternion representation of signals is experimentally realized.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 15, 2001•0 citations

Principles of construction of optical echo processors

Edward A. Manykin, N. A. Chernyshev

An analysis is made of the possibility of utilization of the photon echo effect in optical digital processing of discrete images by the method of control operators, which makes it possible to solve a number of problems. Different regimes for the excitation of the photon echo are in practice usable in all component parts of a processor, which makes this effect potentially promising for the use in optical data processing.

Soviet Journal of Quantum Electronics•Sep 30, 1991•1 citation

Physical modelling of computational operations with hypercomplex numbers and its role in the development of photon-echo-based quantum memory

I. I. Popov, Vera T. Nigmatullina

Modelling of the modes of photon echo formation as an analog process, replacing some time-consuming computational operations in numerical calculation of the photon echo in the quaternion algebra formalism, has been performed. This process has been applied in construction of a quaternion computer.

Bulletin of the Russian Academy of Sciences Physics•Feb 1, 2009•1 citation

Optical processing and computing based on the four-wave mixing with time delay

Eduard A. Manykin, Sergey M. Zakharov

The principles of digital data processing on the basis of a photon echo phenomenon in a resonant medium are considered. DIfferent schemes of an optical processor for vector-matrix multiplication are proposed: a processor with a pixel structure and a processor holographic type. The using of the digital multiplication by the analog convolution algorithm is suggested.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 27, 1996•2 citations
Principle possibility of construction of optical echo-processors with hypercomplex architecture on the basis of physics of photon echo for computational process is shown. Mathematical basis of presentation of quaternion type in optical echo processor is developed. Coding and decoding protocols of information processing with quaternion type are offered. Example of calculating quaternion Fourier transform is demonstrated.
This work is dedicated to investigation the properties and opportunities of photon echo with the purpose of development the physical principle of embodying the optical evaluations on a superposition state of the group of excited particles of resonant gas, which could serve as a basis for increasing of features of quantum information processing regime which is supposed in work. One of the possible physical representations of a quaternion in the signal of photon echo is offered. The principle of the optical echo-processor operation is described to fulfill the operations with quantities which are introduced by quaternions. The example of optical transformation of quaternion quantity in the optical echo-processor is given.