Abstract
Quantum imaging is a new trend that is showing promising results as a powerful addition to the arsenal of imaging techniques. Per-pixel representation of an image using classical information requires a huge amount of computational resources. Hence, exploring techniques for representing images in a different information paradigm is important. This paper describes the variety of options for representing images in quantum information. Image processing is a well-established area of computer science with many applications in today’s world such as face recognition, image analysis, image segmentation and noise reduction using a wide range of techniques. A promising first step was the exponentially efficient implementation of the Fourier transform in quantum computers versus the FFT in classical computers. In addition, images encoded in quantum information can obey unique quantum properties such as superposition or entanglement. The laws of quantum mechanics can reduce the required resources for some tasks by many orders of magnitude if the image data is encoded in the quantum state of a suitable physical system. The aim of this work is to develop and study quantum models of image transformation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Guzik, V., Gushanskiy, S., Polenov, M., Potapov, V.: The computational structure of the quantum computer simulator and its performance evaluation. In: Silhavy, Radek (ed.) CSOC2018 2018. AISC, vol. 763, pp. 198–207. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91186-1_21
Samoylov, A., Gushanskiy, S., Polenov, M., Potapov, V.: The quantum computer model structure and estimation of the quantum algorithms complexity. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds.) CoMeSySo 2018. AISC, vol. 859, pp. 307–315. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-00211-4_27
Beach, G., Lomont, C., Cohen, C.:Quantum image processing (QuIP). Proceedings of the 32nd Applied Imagery Pattern Recognition Workshop, pp. 39–40 (2003). https://doi.org/10.1109/AIPR.2003.1284246. ISBN 0-7695-2029-4
Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E.: A survey of quantum image representations. Quant. Inf. Process. 15(1), 1–35 (2015). https://doi.org/10.1007/s11128-015-1195-6
Boneh, D., Zhandry, M.: Quantum-secure message authentication codes. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 592–608. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-38348-9_35
Potapov, V., Gushanskiy, S., Polenov, M.: Optimization of models of quantum computers using low-level quantum schemes and variability of cores and nodes. In: Silhavy, R. (ed.) CSOC 2019. AISC, vol. 986, pp. 264–273. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-19813-8_27
Kleppner, D., Kolenkow, R.: An Introduction to Mechanics, 2nd edn, 49 p. Cambridge University Press, Cambridge (2014)
Venegas-Andraca, S.E.:. Quantum Image Processing. Springer, Singapore (2020). ISBN 978-9813293304
Sukachev, D.D., Sipahigil, A., Lukin, M.D.: Silicon-vacancy spin qubit in diamond: a quantum memory exceeding 10 ms with single-shot state readout. Phys. Rev. Lett. 199 (2017)
Lukin, M.D.: Probing many-body dynamics on a 51-atom quantum simulator. Nature 551 (2013)
Potapov, V., Gushansky, S., Guzik, V., Polenov, M.: Architecture and software implementation of a quantum computer model. In: Silhavy, R., Senkerik, R., Oplatkova, Z.K., Silhavy, P., Prokopova, Z. (eds.) Software Engineering Perspectives and Application in Intelligent Systems. AISC, vol. 465, pp. 59–68. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-33622-0_6
Raedt, K.D., et al.: Massively parallel quantum computer simulator. Comput. Phys. Commun. 176, 121–136 (2007)
Acknowledgments
The research was funded by the Russian Foundation for Basic Research according to the project № 19-07-01082.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Alexey, S., Sergey, G., Viktor, P. (2021). Development and Research of Quantum Models for Image Conversion. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2021. Lecture Notes in Computer Science(), vol 12855. Springer, Cham. https://doi.org/10.1007/978-3-030-87897-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-87897-9_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-87896-2
Online ISBN: 978-3-030-87897-9
eBook Packages: Computer ScienceComputer Science (R0)