Abstract
Quantum computing and quantum annealing present promising avenues for addressing complex problems in various fields, including tomographic image reconstruction. This study investigates the application of hybrid quantum annealing in the context of tomographic image reconstruction, focusing on the formulation of compatible conventional image regularization strategies: L2 and total variation. Using a Shepp-Logan phantom of image size 32 × 32 with 4-bit grayscale encoding, we study the effect of the regularization techniques under the influence of their parameters and the runtime of the hybrid quantum annealer. The study reveals, that L2 regularization effectively enhances the obtained image reconstructions and total variation can further improve them. Despite efforts to employ regularized hybrid quantum annealing reconstructions, they still fall short in comparison to traditional reconstruction techniques.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Flöther FF. The state of quantum computing applications in health and medicine. arXiv preprint arXiv:2301.09106. 2023.
Coppersmith D. An approximate fourier transformuseful in quantum factoring. arXiv preprint quant-ph/0201067. 2002.
Kiani BT, Villanyi A, Lloyd S. Quantum medical imaging algorithms. arXiv preprint arXiv:2004.02036. 2020.
Harrow AW, Hassidim A, Lloyd S. Quantum algorithm for linear systems of equations. Phys Rev Lett. 2009;103(15):150502.
Aaronson S. Read the fine print. Nat Phys. 2015;11(4):291–3.
Chang CC, Gambhir A, Humble TS, Sota S. Quantum annealing for systems of polynomial equations. Sci Rep. 2019;9(1):10258.
Borle A, Lomonaco SJ. Howviable is quantum annealing for solving linear algebra problems? arXiv preprint arXiv:2206.10576. 2022.
Choong HY, Kumar S, Van Gool L. Quantum annealing for single image super-resolution. Proc IEEE CVF. 2023:1150–9.
Nau MA, Vija AH, Gohn W, Reymann MP, Maier AK. Exploring the limitations of hybrid adiabatic quantum computing for emission tomography reconstruction. J Imaging. 2023;9(10):221.
Jun K. A highly accurate quantum optimization algorithm for CT image reconstruction based on sinogram patterns. Sci Rep. 2023;13(1):14407.
Haga A. Quantum annealing-based computed tomography using variational approach for a real-number image reconstruction. arXiv preprint arXiv:2306.02214. 2023.
D-Wave. D-Wave Leap. https://cloud.dwavesys.com/leap/. Accessed: 2023-03-01. 2023.
Strong D, Chan T. Edge-preserving and scale-dependent properties of total variation regularization. Inverse Probl. 2003;19(6):S165.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 Der/die Autor(en), exklusiv lizenziert an Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature
About this paper
Cite this paper
Nau, M.A., Vija, A.H., Reymann, M.P., Gohn, W., Maier, A.K. (2024). Improving Hybrid Quantum Annealing Tomographic Image Reconstruction with Regularization Strategies. In: Maier, A., Deserno, T.M., Handels, H., Maier-Hein, K., Palm, C., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2024. BVM 2024. Informatik aktuell. Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-44037-4_3
Download citation
DOI: https://doi.org/10.1007/978-3-658-44037-4_3
Published:
Publisher Name: Springer Vieweg, Wiesbaden
Print ISBN: 978-3-658-44036-7
Online ISBN: 978-3-658-44037-4
eBook Packages: Computer Science and Engineering (German Language)