Nonlinear and Quantum Methods for Image Processing and Cryptography

Zhishun Xian, Purdue University

Abstract

In this study, a powerful representation of Quantum Images (PRQI) is proposed to represent images in quantum computers. The color information can be stored in either phase or amplitude, which is powerful for Quantum Image Compression (QIC) and Quantum Image Encryption (QIE). The construction process begins with a pure state on which several operations are applied to generate the expected quantum state. This advantage makes the method more flexible compared with other methods. To evaluate the lossless compression performance, the quantum compression ratio is employed as a standard. Furthermore, to explore the potential of the new method, a novel quantum image encryption method based on quantum chaotic Baker map and random phase mask is discussed. Supported by detailed numeric simulations and analysis, the new method provides a more efficient and secure way to transmit quantum information. In conclusion, PRQI opens a door not only to express quantum images but also to explore practical aspects of quantum image processing.

Degree

M.S.

Advisors

Ersoy, Purdue University.

Subject Area

Engineering|Electrical engineering

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