Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio

Feynman, R.P.: Simulating physics with computers. Int. J. Theor. Phys. 21(6/7), 467–488 (1982)

Vlatko, V., Adriano, B., Artur, E.: Quantum networks for elementary arithmetic operations. Phys. Rev. A 54(1), 147–153 (1996)

Venegas-Andraca, S.E., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. In: Proceedings of the SPIE Conference on Quantum Information and Computation, pp. 137–147 (2003)

Venegas-Andraca, S.E., Ball, J.L.: Processing images in entangled quantum systems. Quantum Inf. Process. 9(1), 1–11 (2010)

Latorre, J.I.: Image compression and entanglement. arXiv:quant-ph/0510031 (2005)

Le, P.Q., Dong, F.Y., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)

Le, P.Q., Iliyasu, A.M., Dong, F.Y., Hirota, K.: Fast geometric transformation on quantum images. IAENG Int. J. Appl. Math. 40(3), 113–123 (2010)

Sun, B., Iliyasu, A.M., Yan, F., Dong, F.Y., Hirota, K.: An RGB multi-channel representation for images on quantum computers. J. Adv. Comput. Intell. Intell. Inform. 17(3), 404–417 (2013)

Zhang, Y., Lu, K., Gao, Y.H., Wang, M.: NEQR: a novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(12), 2833–2860 (2013)

Jiang, N., Wang, L.: Quantum image scaling using nearest neighbor interpolation. Quantum Inf. Process. 14(5), 1559–1571 (2015)

Zhang, Y., Lu, K., Gao, Y.H., Xu, K.: A novel quantum representation for log-polar images. Quantum Inf. Process. 12(9), 3103–3126 (2013)

Li, H.S., Zhu, Q.X., Lan, S., Shen, C.Y., Zhou, R.G., Mo, J.: Image storage, retrieval, compression and segmentation in a quantum system. Quantum Inf. Process. 12(6), 2269–2290 (2013)

Li, H.S., Zhu, Q.X., Zhou, R.G., Lan, S., Yang, X.J.: Multi-dimensional color image storage and retrieval for a normal arbitrary quantum superposition state. Quantum Inf. Process. 13(4), 991–1011 (2014)

Wang, J., Jiang, N., Wang, L.: Quantum image translation. Quantum Inf. Process. 14(5), 1589–1604 (2015)

Gonzalez, R., Woods, R.: Digital Image Processing, 3rd edn. Prentice Hall, New Jersey (2007)

http://www.mathworks.cn/cn/help/images/ref/imresize.html (2014)

Jiang, N., Wu, W.Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process. 13(5), 1223–1236 (2014)

Jiang, N., Wang, L.: Analysis and improvement of the quantum Arnold image scrambling. Quantum Inf. Process. 13(7), 1545–1551 (2014)

Jiang, N., Wang, L., Wu, W.Y.: Quantum Hilbert image scrambling. Int. J. Theor. Phys. 53(7), 2463–2484 (2014)

Zhang, Y., Lu, K., Xu, K., Gao, Y.H., Wilson, R.: Local feature point extraction for quantum images. Quantum Inf. Process. 14(5), 1573–1588 (2015)

Iliyasu, A.M., Le, P.Q., Dong, F., Hirota, K.: Watermarking and authentication of quantum images based on restricted geometric transformations. Inf. Sci. 186, 126–149 (2012)

Zhang, W.W., Gao, F., Liu, B., et al.: A watermark strategy for quantum images based on quantum Fourier transform. Quantum Inf. Process. 12(4), 793–803 (2013)

Zhang, W.W., Gao, F., Liu, B., et al.: A quantum watermark protocol. Int. J. Theory Phys. 52, 504–513 (2013)

Yang, Y.G., Jia, X., Xu, P., Tian, J.: Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform. Quantum Inf. Process. 12(8), 2765–2769 (2013)

Song, X.H., Wang, S., Liu, S., El-Latif, Ahmed A.Abd, Niu, X.M.: A dynamic watermarking scheme for quantum images using quantum wavelet transform. Quantum Inf. Process. 12(12), 3689–3706 (2013)

Song, X.H., Wang, S., Liu, S., El-Latif, Ahmed. A. Abd., Niu, X.M.: Dynamic watermarking scheme for quantum images based on Hadamard transform. Multimed. Syst. 20(4), 379–388 (2014)

Jiang, N., Wang, L.: A quantum image information hiding algorithm based on Moir $$\acute{e}$$ e ´ pattern. Int. J. Theor. Phys. 54(3), 1021–1032 (2015)

Wang, S., Song, X.H., Niu, X.M.: A novel encryption algorithm for quantum images based on quantum wavelet transform and diffusion. Adv. Intell. Syst. Comput. 298, 243–250 (2014)

Hua, T., Chen, J., Pei, D., et al.: Quantum image encryption algorithm based on image correlation decomposition. Int. J. Theor. Phys. 54(2), 526–537 (2015)

Zhou, Ri-Gui, Wu, Qian, Zhang, Man-Qun, et al.: A quantum image encryption algorithm based on quantum image geometric transformations. Pattern Recognit. 321, 480–487 (2012)

Zhou, Ri-Gui, Wu, Qian, Zhang, Man-Qun, et al.: Quantum image encryption and decryption algorithms based on quantum image geometric transformations. Int. J. Theor. Phys. 52, 1802–1817 (2013)

Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802–803 (1982)

Yuen, H.P.: Amplification of quantum states and noiseless photon amplifiers. Phys. Lett. A 113(8), 405–407 (1986)

Nielson, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

Iliyasu, A.M., Le, P.Q., Dong, F.Y., Hirota, K.: A framework for representing and producing movies on quantum computers. Int. J. Quantum Inf. 9(6), 1459–1497 (2011)