Call For Paper - Upcoming Conferences

Research Article | Open Access | Download PDF
Volume 13 | Issue 4 | Year 2026 | Article Id. IJECE-V13I4P128 | DOI : https://doi.org/10.14445/23488549/IJECE-V13I4P128

An Entropy-Based Adaptive Quantum Image Representation (EBA-QR) for Efficient Multimodal Image Processing


Vrushali Nikam, Shirish Sane

Received Revised Accepted Published
24 Jan 2026 24 Feb 2026 25 Mar 2026 30 Apr 2026

Citation :

Vrushali Nikam, Shirish Sane, "An Entropy-Based Adaptive Quantum Image Representation (EBA-QR) for Efficient Multimodal Image Processing," International Journal of Electronics and Communication Engineering, vol. 13, no. 4, pp. 348-370, 2026. Crossref, https://doi.org/10.14445/23488549/IJECE-V13I4P128

Abstract

Superposition, entanglement, and quantum parallelism can be utilized in Quantum Image Processing (QIP) as a promising paradigm for expediting large-scale visual computing workloads. However, the majority of existing content-agnostic Quantum Image Representation (QIR) models allocate an equal amount of computational resources to individual pixels, irrespective of their semantic significance. This approach poses particular challenges to Noisy Intermediate-Scale Quantum (NISQ) systems, especially in noise-sensitive applications such as medical imaging and maritime surveillance, where low coherence and noisy gates significantly constrain the achievable circuit depth. In order to apply dynamically local resource assignment conditions by the complexity of the image, this paper presents EBA-QR (Entropy-Based Adaptive Quantum Representation), a content- sensitive encoding scheme, which combines a local Shannon entropy scheme and quantum circuit synthesis. EBA-QR does not process the pixels as equals but divides the image into discrete blocks, calculates the number of pixels in each block, and the block entropy, then uses a threshold, which is adjustable, below which each block is considered to be part of Interest (ROI), or the background. In contrast to low- entropy background blocks, which are coded with gate-skipping algorithms to approximate a fixed cost of a gate per block, high- entropy blocks are coded with the NEQR-like basis-state accuracy. The total cost of preparation is proportional to the size of the regions of ROI, and a formal gate-cost optimization function can also be applied to work with a reduction of up to two orders of magnitude compared to NEQR in sparse sceneries without increasing the number of qubits. These benefits are observed to be the effect of entropy-directed gate allocation, not necessarily of classical masking by an Entropy-Based Mask (EBM) control of a NEQR +Mask control baseline that retains the normal NEQR circuit. There are three datasets that were applied as SAR ship detection imaging based on SSDD, brain tumor MRI scans, and so on. Images of Doha International Airport and ICEYE SAR are benchmarked and tested on 10 performance parameters. The development of Qiskit simulators is accomplished. Circuit and all graphics are downsampled to 32 x 32 so as to look NISQ-era. The findings indicate that EBA-QR possesses the fidelity of the level of NEQR in ROIs and is not prone to common aberrations of transform-based compression schemes, and by a maximum of 78.1 percent on sparse SAR sceneries, simplifying the complexity of gates. 64.7% on brain MRI. Moreover, EBA-QR consents that it is helpful. End to-End image processing system in the NISQ era and a successful building block in future quantum pipelines, edge detection, and medical diagnostics satellite monitoring to help in basic operations on images, like geometric transform, image flipping, and Sobel edge detection.

Keywords

Quantum Image Processing, Quantum Image Representation, EBA-QR, Entropy-Based Encoding, NEQR, NISQ Devices, SAR Ship Detection, Brain Tumor MRI, Quantum Edge Detection.

References

  1. Alok Anand et al., “Quantum Image Processing,” arXiv preprint, pp. 1-10, 2022.
    [CrossRef] [Google Scholar]  [Publisher Link]
  2. Jie Su et al., “An Improved Novel Quantum Image Representation and its Experimental Test on IBM Quantum Experience,” Scientific Reports, vol. 11, pp. 1-13, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  3. Jie Su et al., “A New Trend of Quantum Image Representations,” IEEE Access, vol. 8, pp. 214520-214537, 2020.
    [CrossRef]  [Google Scholar]  [Publisher Link]
  4. Zhaobin Wang, Minzhe Xu, and Yaonan Zhang, “Review of Quantum Image Processing,” Archives of Computational Methods in Engineering, vol. 29, pp. 737-761, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  5. Woon Siong Gan, Quantum Image Processing, Quantum Acoustical Imaging, Springer, pp. 83-86, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  6. Marina Lisnichenko, and Stanislav Protasov, “Quantum Image Representation: A Review,” Quantum Machine Intelligence, vol. 5, pp. 1-11, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  7. Mercy G. Amankwah et al., “Quantum Pixel Representations and Compression for N-Dimensional Images,” Scientific Reports, vol. 12, pp. 1-15, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  8. Md. Ershadul Haque et al., “Advanced Quantum Image Representation and Compression using a DCT-EFRQI Approach,” Scientific Reports, vol. 13, pp. 1-15, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  9. Nawres A. Alwan et al., “A Multi-channel Quantum Image Representation Model with Qubit Sequences for Quantum-inspired Image and Image Retrieval,” AIMS Mathematics, vol. 10, no. 5, pp. 10994-11035, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  10. Shiping Du et al., “Binarization of Grayscale Quantum Image Denoted with Novel Enhanced Quantum Representations,” Results in Physics, vol. 39, pp. 1-9, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  11. Ahmed Elaraby, “Quantum Medical Images Processing Foundations and Applications,” IET Quantum Communication, vol. 3, no. 4, pp. 201-213, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  12. Lin Wei et al., “Quantum Machine Learning in Medical Image Analysis: A Survey,” Neurocomputing, vol. 525, pp. 42-53, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  13. Sathwik Reddy Majji et al., “Quantum Processing in Fusion of SAR and Optical Images for Deep Learning: A Data-Centric Approach,” IEEE Access, vol. 10, pp. 73743-73757, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  14. Sreetama Das et al., “Quantum Pattern Recognition on Real Quantum Processing Units,” Quantum Machine Intelligence, vol. 5, pp. 1-17, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  15. M. Cerezo et al., “Challenges and Opportunities in Quantum Machine Learning,” Nature Computational Science, vol. 2, pp. 567-576, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  16. Osvaldo Simeone, “An Introduction to Quantum Machine Learning for Engineers,” Foundations and Trends in Signal Processing, vol. 16, no. 1-2, pp. 1-223, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  17. David Peral-García, Juan Cruz-Benito, and Francisco José García-Peñalvo, “Systematic Literature Review: Quantum Machine Learning and Its Applications,” Computer Science Review, vol. 51, pp. 1-20, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  18. Tuyen Nguyen et al., “Quantum Machine Learning with Quantum Image Representations,” 2022 IEEE International Conference on Quantum Computing and Engineering (QCE), Broomfield, CO, USA, pp. 851-854, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  19. Haocheng Xiong et al., “Image Classification Based on Quantum Machine Learning,” 2023 5th International Conference on Intelligent Control, Measurement and Signal Processing (ICMSP), pp. 891-895, Chengdu, China, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  20. Ankit Khandelwal, M. Girish Chandra, and Sayantan Pramanik, “On Classifying Images using Quantum Image Representation,” 2022 IEEE/ACM 7th Symposium on Edge Computing (SEC), Seattle, WA, USA, pp. 444-449, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  21. Sayantan Pramanik et al., “A Quantum-Classical Hybrid Method for Image Classification and Segmentation,” 2022 IEEE/ACM 7th Symposium on Edge Computing (SEC), Seattle, WA, USA, pp. 450-455, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  22. Shtwai Alsubai et al., “A Quantum Computing-Based Accelerated Model for Image Classification Using a Parallel Pipeline Encoded Inception Module,” Mathematics, vol. 11, no. 11, pp. 1-22, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  23. Farhad Soleimanian Gharehchopogh, “Quantum-inspired Metaheuristic Algorithms: Comprehensive Survey and Classification,” Artificial Intelligence Review, vol. 56, pp. 5479-5543, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  24. You-hang Liu, Zai-dong Qi, and Qiang Liu, “Comparison of Similarity between Two Quantum Images,” Scientific Reports, vol. 12, pp. 1-10, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  25. Tao Li et al., “Quantum Image Processing Algorithm Using Line Detection Mask Based on NEQR,” Entropy, vol. 25, no. 5, pp. 1-15, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  26. Zidong Cui et al., “Achieving Quantum Advantages for Image Filtering,” arXiv preprint, pp. 1-8, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  27. Hasan Yetis, and Mehmet Karakose, “Variational Quantum Circuits for Convolution and Window-Based Image Processing Applications,” Quantum Science and Technology, vol. 8, no. 4, 2023.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  28. Yong Wang et al., “A Deep Learning-Based Target Recognition Method for Entangled Optical Quantum Imaging System,” IEEE Transactions on Instrumentation and Measurement, vol. 72, pp. 1-12, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  29. Yu Wang et al., “An Image Encryption Scheme Based on Logistic Quantum Chaos,” Entropy, vol. 24, no. 2, pp. 1-22, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  30. Nasro Min-Allah et al., “Quantum Image Steganography Schemes for Data Hiding: A Survey,” Applied Sciences, vol. 12, no. 20, pp. 1-18, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  31. Jie Gao et al., “Quantum Image Encryption Based on Quantum DNA Codec and Pixel-Level Scrambling,” Entropy, vol. 25, no. 6, pp. 1-16, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  32. Xi-Wei Yao et al., “Quantum Image Processing and Its Application to Edge Detection: Theory and Experiment” Physical Review X, vol. 7, pp. 1-14, 2017.
    [CrossRef] [Google Scholar] [Publisher Link]
  33. Xianhua Song et al., “Quantum Geometric Transformation Based on QIRHSI Quantum Color Images,” IEEE Access, vol. 11, pp. 21883-21899, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  34. Arijit Mandal et al., “Quantum Image Representation on Clusters,” 2021 IEEE International Conference on Quantum Computing and Engineering (QCE), Broomfield, CO, USA, pp. 89-99, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  35. Zheng Xing et al., “NGQR: A Novel Generalized Quantum Image Representation,” IEEE Transactions on Emerging Topics in Computing, vol. 13, no. 3, pp. 591-603, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  36. Nawres A. Alwan et al., “Multilayered Quantum Computing and Simulation System for Enhanced Image Representation of HSI Based Fourier Transform and Adjacency Matrix,” Scientific Reports, vol. 15, pp. 1-25, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  37. Fei Yan, and Salvador E. Venegas-Andraca, “Lessons from Twenty Years of Quantum Image Processing,” ACM Transactions on Quantum Computing, vol. 6, no. 1, pp. 1-29, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  38. Sundaraja Sitharama Iyengar, Latesh K.J. Kumar, and Mario Mastriani, “Analysis of Five Techniques for the Internal Representation of a Digital Image Inside a Quantum Processor,” SN Computer Science, vol. 2, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  39. Wenjie Liu, and Lu Wang, “Quantum Image Edge Detection based on Eight-direction Sobel Operator for NEQR,” Quantum Information Processing, vol. 21, pp. 1-27, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  40. Mohammed Yousif, and Belal Al-Khateeb, “Quantum Convolutional Neural Network for Image Classification,” Fusion: Practice and Applications, vol. 15, no. 2, pp. 61-72, 2024.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  41. Francesco Mauro et al., “Qspecklefilter: A Quantum Machine Learning Approach for SAR Speckle Filtering,” IGARSS 2024 - 2024 IEEE International Geoscience and Remote Sensing Symposium, Athens, Greece, pp. 450-454, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  42. Iris Cong, Soonwon Choi, and Mikhail D. Lukin, “Quantum Convolutional Neural Networks,” Nature Physics, vol. 15, pp. 1273-1278, 2019.
    [CrossRef] [Google Scholar] [Publisher Link]
  43. Fei Yan et al., “A Survey of Quantum Image Representations,” Quantum Information Processing, vol. 15, pp. 1-35, 2016.
    [CrossRef] [Google Scholar] [Publisher Link]
  44. Joel Silos-Sanchez et al., “Comparison Between FRQI and NEQR Quantum Algorithms Applied in Digital Image Processing,” International Journal of Combinatorial Optimization Problems and Informatics, vol. 16, no. 1, pp. 213-225, 2025.
    [CrossRef]  [Google Scholar] [Publisher Link]
  45. Madhur Srivastava, Subhayan R. Moulick, and Prasanta K. Panigrahi, “Quantum Image Representation through Two-Dimensional Quantum States and Normalized Amplitude,” arXiv preprint, pp. 1-5, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  46. Ankit Khandelwal, M. Girish Chandra, and Sayantan Pramanik, “On Classifying Images Using Quantum Image Representation,” Edge 2022 IEEE/ACM 7th Symposium on Edge Computing (SEC), Seattle, WA, USA, pp. 444-449, 2022. 
    [CrossRef] [Google Scholar] [Publisher Link]
  47. Hai-Sheng Li et al., “A Quantum Image Representation Based on Bitplanes,” IEEE Access, vol. 6, pp. 62396-62404, 2018. 
    [CrossRef] [Google Scholar] [Publisher Link]
  48. Arijit Mandal, Shreya Banerjee, and Prasanta K. Panigrahi, “Quantum Image Representation on Clusters,” 2021 IEEE International Conference on Quantum Computing and Engineering (QCE), Broomfield, CO, USA, pp. 89-99, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  49. Md Ershadul Haque et al., “Enhancing Image Representation and Compression: An Innovative Nz-Nqer Framework with Block Truncation Quantum Coding,” 2023 International Conference on Digital Image Computing: Techniques and Applications (DICTA), Port Macquarie, Australia, pp. 304-311, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  50. Zahra Boreiri, Alireza Norouzi Azad, and Nayereh Majd, “Optimized Quantum Circuits in Quantum Image Processing Using Qiskit,” 2022 International Conference on Machine Vision and Image Processing (MVIP), Ahvaz, Iran, Islamic Republic of, pp. 1-7, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  51. Ines Hammou et al., “Comparasion between FRQI and NEQR Representation,” 2024 International Conference on Advances in Electrical and Communication Technologies (ICAECOT), Setif, Algeria, pp. 1-6, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  52. Abhishek Tiwari, Saiyam Sakhuja, and Britant, “Benchmarking Quantum Image Representations Algorithms for Hybrid-Quantum applications,” 2025 17th International Conference on COMmunication Systems and NETworks (COMSNETS), Bengaluru, India, pp. 1108-1113, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  53. Barkha Singh, S. Indu, and Sudipta Majumdar, “Development of A Classification Architecture For Images Represented Using Quantum Theory : *using IBM QISKIT Liberaries, 2023 3rd International Conference on Artificial Intelligence and Signal Processing (AISP), VIJAYAWADA, India, pp. 1-5, 2023. [CrossRef] [Google Scholar] [Publisher Link]
  54. Artyom M. Grigoryan, and Sos S. Agaian, Conclusion and Opportunities and Challenges of Quantum Image Processing, Quantum Image Processing in Practice: A Mathematical Toolbox, Wiley Semiconductors, pp. 285-289, 2025.
    [CrossRef]  [Google Scholar] [Publisher Link]
  55. Md Ershadul Haque et al., “A Novel State Connection Strategy for Quantum Computing to Represent and Compress Digital Images,” ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, pp. 1-5, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]
  56. Zheng Xing et al., “MMQW: Multi-Modal Quantum Watermarking Scheme,” IEEE Transactions on Information Forensics and Security, vol. 19, pp. 5181-5195, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  57. Ryan LaRose et al., “Variational Quantum State Diagonalization,” NPJ Quantum Information, vol. 5, pp. 1-10, 2019.
    [CrossRef]
     [Google Scholar] [Publisher Link]
  58. Sentinel-1&2 Image Pairs (SAR & Optical), Kaggle. [Online]. Available: https://www.kaggle.com/datasets/requiemonk/sentinel12-image-pairs-segregated-by-terrain/code
  59. Tawsifur Rahman, “Tuberculosis (TB) Chest X-ray Database,” Kaggle Dataset, 2022.
    [Google Scholar] [Publisher Link]
  60. Huinan Guo et al., “MMYFnet: Multi-Modality YOLO Fusion Network for Object Detection in Remote Sensing Images,” Remote Sensing, vol. 16, no. 23, pp. 1-19, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  61. Rui Silva et al., “Multimodal Object Detection: An Architecture using Feature-level Fusion and Deep Learning,” Neural Computing and Applications, vol. 37, pp. 23799-23810, 2025.
    [CrossRef] [Google Scholar] [Publisher Link]
  62. Yongfa Mi et al., “Research on Multi-scale Fusion Image Enhancement and Improved YOLOv5s Lightweight ROV Underwater Target Detection Method,” Scientific Reports, vol. 14, pp. 1-21, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  63. Zixiang Zhao et al., “Correlation-Driven Dual-Branch Feature Decomposition for Multi-Modality Image Fusion,” arXiv preprint, pp. 1-11, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  64. Yunhao Wang et al., “MAFormer: A Transformer Network with Multi-Scale Attention Fusion for Visual Recognition,” arXiv preprint, pp. 1-12, 2022.
    [CrossRef] [Google Scholar] [Publisher Link]
  65. Yimian Dai et al., “Attentional Feature Fusion,” 2021 IEEE Winter Conference on Applications of Computer Vision (WACV), Waikoloa, HI, USA, pp. 3559-3568, 2021.
    [CrossRef] [Google Scholar] [Publisher Link]
  66. Yufei He et al., “Multilevel Attention Dynamic-Scale Network for HSI and LiDAR Data Fusion Classification,” IEEE Transactions on Geoscience and Remote Sensing, vol. 62, pp. 1-16, 2024.
    [CrossRef] [Google Scholar] [Publisher Link]
  67. Kai Liu e al., “An Optimized Quantum Representation for Color Digital Images,” International Journal of Theoretical Physics, vol. 57, pp. 2938-2948, 2018.
    [CrossRef] [Google Scholar] [Publisher Link]
  68. Xian-Hua Song, Shen Wang, and Xia-Mu Niu, “Multi-Channel Quantum Image Representation based on Phase Transform and Elementary Transformations,” Journal of Information Hiding and Multimedia Signal Processing, vol. 5, no. 4, pp. 574-585, 2014.
    [CrossRef] [Google Scholar] [Publisher Link]
  69. Jie Zhang, Yongshan Zhang, and Yicong Zhou, “Quantum-Inspired Spectral-Spatial Pyramid Network for Hyperspectral Image Classification,” 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Vancouver, BC, Canada, pp. 9925-9934, 2023.
    [CrossRef] [Google Scholar] [Publisher Link]