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Ternary Quantum Circuit for Color Image Representation

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Advanced Computing and Systems for Security

Abstract

Image representation in a multilevel quantum system is always an important issue now a day. This paper initially proposes two approaches which help to represent color images in a ternary quantum system based on the modified concept of famous FRQI model and normalized amplitude based quantum representation model. But these approaches are complicated and have several drawbacks. Finally, a simple and a new model of color image representation and storage in a ternary (3-levels) quantum system is presented in this paper. This model deals with a set of quantum states for M different color levels and another set of quantum states for P different position coordinates. In this paper, various gray levels of a color image and their corresponding positions are stored in a \(3^n\) color quantum register. For sake of simplicity this proposed method is carried out on 3 \(\times \) 3 pixels of color image example and the model is built by using basic ternary gates. A basic measurement of a pixel in a quantum image is also presented in this paper. Comparisons among these three quantum image representation approaches are also discussed at the last section of this paper.

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Correspondence to Sanjay Chakraborty .

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Chakraborty, S., Mandal, S.B., Shaikh, S.H., Dey, L. (2017). Ternary Quantum Circuit for Color Image Representation. In: Chaki, R., Saeed, K., Cortesi, A., Chaki, N. (eds) Advanced Computing and Systems for Security. Advances in Intelligent Systems and Computing, vol 568. Springer, Singapore. https://doi.org/10.1007/978-981-10-3391-9_6

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  • DOI: https://doi.org/10.1007/978-981-10-3391-9_6

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