Quaternion-Based Arithmetic in Quantum Information Processing: A promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing]

IF 9.4 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
Artyom M. Grigoryan;Sos S. Agaian
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引用次数: 0

Abstract

Classical color image processing, image recognition, and machine learning introduce nonlinearity, causing the collapse of the quantum state into classical probability perceptrons after measurements, due to the inherent linearity of quantum computing. To address this challenge, quaternion-based arithmetic offers a promising approach. By treating the primary color components as a single unit using quaternion algebra, nonlinear relationships can be implemented, effectively manipulating higher-dimensional color data. This article aims to achieve efficient and accurate color quantum image processing (QIP) by introducing new quaternion quantum-based color imaging tools based on multiplicative arithmetic on two-qubits and quantum superpositions. The approach includes the concept of a quaternion Fourier transform (QFT) in two-qubit-based color image representation. To end, we discuss possible applications of the proposed methods in color quantum imaging.
量子信息处理中基于四元数的算术:有望实现高效彩色量子成像的方法[超复杂信号与图像处理]
由于量子计算固有的线性特性,经典彩色图像处理、图像识别和机器学习引入了非线性,导致量子态在测量后坍缩为经典概率感知器。为了应对这一挑战,基于四元数的运算提供了一种很有前景的方法。通过使用四元数代数将三原色分量视为单一单元,可以实现非线性关系,从而有效地处理高维色彩数据。本文旨在通过引入基于四元量子的新型彩色成像工具,实现高效、准确的彩色量子图像处理(QIP),该工具基于双量子比特和量子叠加的乘法运算。该方法包括基于双量子比特的彩色图像表示中的四元数傅里叶变换(QFT)概念。最后,我们讨论了拟议方法在彩色量子成像中的可能应用。
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来源期刊
IEEE Signal Processing Magazine
IEEE Signal Processing Magazine 工程技术-工程:电子与电气
CiteScore
27.20
自引率
0.70%
发文量
123
审稿时长
6-12 weeks
期刊介绍: EEE Signal Processing Magazine is a publication that focuses on signal processing research and applications. It publishes tutorial-style articles, columns, and forums that cover a wide range of topics related to signal processing. The magazine aims to provide the research, educational, and professional communities with the latest technical developments, issues, and events in the field. It serves as the main communication platform for the society, addressing important matters that concern all members.
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