A flexible representation of quantum images for polynomial preparation, image compression, and processing operations

Barenco A., Bennett C.H., Cleve R., DiVincenzo D.P., Margolus N., Shor P., Sleator T., Smolin J.A., Weinfurter H.: Elementary gates for quantum computation. Phys. Rev. A 52, 3457 (1995)

Beach, G., Lomont, C., Cohen, C.: Quantum image processing (quip). Proc. Appl. Imagery Pattern Recognit. Workshop, 39–44 (2003)

Brayton R.K., Sangiovanni-Vincentelli A., McMullen C., Hachtel G.: Logic Minimization Algorithms for VLSI Synthesis. Kluwer Academic Publishers, Dordrecht (1984)

Caraiman, S., Manta, V.I.: New applications of quantum algorithms to computer graphics: the quantum random sample consensus algorithm. Proc. 6th ACM Conf. Comput. Frontier, Ischia, Italy. ACM, New York, 81–88 (2009)

Curtis D., Meyer D.A.: Towards quantum template matching. Proc. SPIE 5161, 134–141 (2004)

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

Fijany, A., Williams, C.P.: Quantum wavelet transform: fast algorithm and complete circuits. arXiv:quant-ph/9809004 (1998)

Grover, L.: A fast quantum mechanical algorithm for database search. Proc. 28th Ann. ACM Symp. Theory Comput. (STOC 1996), ACM, New York, 212–219 (1996)

Klappenecker, A., Rötteler, M.: Discrete cosine transforms on quantum computers. Proc. IEEER8-EURASIP Symp. on Image and Signal Processing and Analysis (ISPA01), Pula, Croatia, 464–468 (2001)

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

Lomont, C.: Quantum convolution and quantum correlation algorithms are physically impossible. arXiv:quant-ph/0309070 (2003)

Lomont, C.: Quantum circuit identities. arXiv:quant-ph/0307111 (2003)

Maslov D., Dueck G.W., Miller D.M., Camille N.: Quantum circuit simplification and level compaction. IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. 27(3), 436–444 (2008)

Nielsen M., Chuang I.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2000)

Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. Proc. 35th Ann. Symp. Found. Comput. Sci. IEEE Computer Soc. Press, Los Almitos, CA. 124–134 (1994)

Tseng, C.C., Hwang, T.M.: Quantum circuit design of 8 × 8 discrete cosine transforms using its fast computation flow graph. ISCAS 2005. vol. I. 828–831 (2005)

Venegas-Andraca, S.E., Ball, J.L.: Storing Images in engtangled quantum systems. arXiv:quant-ph/0402085 (2003)

Venegas-Andraca, S.E., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. Proc. SPIE Conf. Quantum Inf. Comput. vol. 5105, 137–147 (2003). doi: 10.1117/12.485960