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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References
Li, H.-S., Qingxin, Z., Lan, S., Shen, C.-Y., Zhou, R., Mo, J.: Image storage, retrieval, compression and segmentation in a quantum system. Quantum Inf. Process. 12(6), 2269–2290 (2013)
Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)
Verma, A.: Quantum image storage, retrieval and teleportation. Int. J. Adv. Res. Comput. Sci. Softw. Eng. 3(10), 387–391 (2013)
Song, X.-H., Wang, S., Niu, X.-M.: Multi-channel quantum image representation based on phase transform and elementary transformations. J. Inf. Hiding Multimedia Signal Process., (5)4 (2014)
Caraiman, S., Manta, V.I.: Image segmentation on a quantum computer. Quantum Inf. Process. 1693–1715 (2015). Springer
Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E.: A survey of quantum image representations. Quantum Inf. Process. (2015)
Srivastava, M., Panigrahi, P.K.: Quantum image representation through two-dimensional quantum states and normalized amplitude, arXiv preprint arXiv:1305.2251 (2013)
Venegas-Andraca, S., Ball, J.: Processing images in entangled quantum systems. Quantum Inf. Process. 9(1), 1–11 (2010)
Chakraborty, S., Dey, L.: Image representation, filtering, and natural computing in a multivalued quantum system. Handbook of Research on Natural Computing for Optimization Problems, IGI-Global (2016)
Caraiman, S., Manta, V.: Image representation and processing using ternary quantum computing. In: Adaptive and Natural Computing Algorithms. Springer, pp. 366–375 (2013)
Klimov, A.B., Sánchez-Soto, L.L., de Guise, H., Björk, G.: Quantum phases of a qutrit. J. Phys. A: Math. Gen. 37(13), 4097 (2004)
Zadeh, R., Haghparast, M.: A new reversible/quantum ternary comparator. Aust. J. Basic Appl. Sci. 5(12), 2348–2355 (2011)
Al-Rabadi, A., Casperson, L., Perkowski, M., Song, X.: Multiplevalued quantum logic. Quantum 10(2), 1 (2002)
Khan, M.H.: Design of reversible/quantum ternary multiplexer and demultiplexer. Eng. Lett. 13(2), 65–69 (2006)
Muthukrishnan, A. Stroud, C. Jr.: Multivalued logic gates for quantum computation. Phys. Rev. A 62(5) (2000)
Mandal, S.B., Chakrabarti, A., Sur-Kolay, S.: Quantum ternary circuit synthesis using projection operations, arXiv preprint arXiv:1205.2390 (2012)
Nower, N., Chowdhury, A.R.: On the realization of online ternary testable circuit. Int. J. Eng. Technol. 2(4) (2012)
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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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