Skip to main content

Improving Hybrid Quantum Annealing Tomographic Image Reconstruction with Regularization Strategies

  • Conference paper
  • First Online:
Bildverarbeitung für die Medizin 2024 (BVM 2024)

Part of the book series: Informatik aktuell ((INFORMAT))

Included in the following conference series:

  • 315 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Flöther FF. The state of quantum computing applications in health and medicine. arXiv preprint arXiv:2301.09106. 2023.

  2. Coppersmith D. An approximate fourier transformuseful in quantum factoring. arXiv preprint quant-ph/0201067. 2002.

    Google Scholar 

  3. Kiani BT, Villanyi A, Lloyd S. Quantum medical imaging algorithms. arXiv preprint arXiv:2004.02036. 2020.

  4. Harrow AW, Hassidim A, Lloyd S. Quantum algorithm for linear systems of equations. Phys Rev Lett. 2009;103(15):150502.

    Google Scholar 

  5. Aaronson S. Read the fine print. Nat Phys. 2015;11(4):291–3.

    Google Scholar 

  6. Chang CC, Gambhir A, Humble TS, Sota S. Quantum annealing for systems of polynomial equations. Sci Rep. 2019;9(1):10258.

    Google Scholar 

  7. Borle A, Lomonaco SJ. Howviable is quantum annealing for solving linear algebra problems? arXiv preprint arXiv:2206.10576. 2022.

  8. Choong HY, Kumar S, Van Gool L. Quantum annealing for single image super-resolution. Proc IEEE CVF. 2023:1150–9.

    Google Scholar 

  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.

    Google Scholar 

  10. Jun K. A highly accurate quantum optimization algorithm for CT image reconstruction based on sinogram patterns. Sci Rep. 2023;13(1):14407.

    Google Scholar 

  11. Haga A. Quantum annealing-based computed tomography using variational approach for a real-number image reconstruction. arXiv preprint arXiv:2306.02214. 2023.

  12. D-Wave. D-Wave Leap. https://cloud.dwavesys.com/leap/. Accessed: 2023-03-01. 2023.

  13. Strong D, Chan T. Edge-preserving and scale-dependent properties of total variation regularization. Inverse Probl. 2003;19(6):S165.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Merlin A. Nau .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 Der/die Autor(en), exklusiv lizenziert an Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

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

Publish with us

Policies and ethics