{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T03:34:35Z","timestamp":1783049675349,"version":"3.54.6"},"reference-count":57,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,8,11]],"date-time":"2025-08-11T00:00:00Z","timestamp":1754870400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>This paper proposes a novel quantum image transmission framework to address the limitations of existing single-qubit time domain systems, which struggle with noise resilience and scalability. The framework integrates frequency domain processing with multi-qubit (1 to 8 qubits) encoding to enhance robustness against quantum noise. Initially, images are source-coded using JPEG and HEIF formats with rate adjustment to ensure consistent bandwidth usage. The resulting bitstreams are channel-encoded and mapped to multi-qubit quantum states. These states are transformed into the frequency domain via the quantum Fourier transform (QFT) for transmission. At the receiver, the inverse QFT recovers the time domain states, followed by multi-qubit decoding, channel decoding, and source decoding to reconstruct the image. Performance is evaluated using bit error rate (BER), peak signal-to-noise ratio (PSNR), structural similarity index measure (SSIM), and universal quality index (UQI). Results show that increasing the number of qubits enhances image quality and noise robustness, albeit at the cost of increased system complexity. Compared to time domain processing, the frequency domain approach achieves superior performance across all qubit configurations, with the eight-qubit system delivering up to a 4 dB maximum channel SNR gain for both JPEG and HEIF images. Although single-qubit systems benefit less from frequency domain encoding due to limited representational capacity, the overall framework demonstrates strong potential for scalable and noise-robust quantum image transmission in future quantum communication networks.<\/jats:p>","DOI":"10.3390\/a18080501","type":"journal-article","created":{"date-parts":[[2025,8,11]],"date-time":"2025-08-11T14:32:36Z","timestamp":1754922756000},"page":"501","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["High-Fidelity Image Transmission in Quantum Communication with Frequency Domain Multi-Qubit Techniques"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-1332-9786","authenticated-orcid":false,"given":"Udara","family":"Jayasinghe","sequence":"first","affiliation":[{"name":"Department of Computer and Information Sciences, University of Strathclyde, Glasgow G1 1XQ, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-3336-620X","authenticated-orcid":false,"given":"Thanuj","family":"Fernando","sequence":"additional","affiliation":[{"name":"Department of Computer and Information Sciences, University of Strathclyde, Glasgow G1 1XQ, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2158-2367","authenticated-orcid":false,"given":"Anil","family":"Fernando","sequence":"additional","affiliation":[{"name":"Department of Computer and Information Sciences, University of Strathclyde, Glasgow G1 1XQ, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,8,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Arena, F., Collotta, M., Pau, G., and Termine, F. (2022). An Overview of Augmented Reality. Computers, 11.","DOI":"10.3390\/computers11020028"},{"key":"ref_2","unstructured":"Shannon, C.E., and Weaver, W. (1949). The Mathematical Theory of Communication, University of Illinois Press."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Arun, G., and Mishra, V. (2014, January 26\u201327). A review on quantum computing and communication. Proceedings of the 2014 2nd International Conference on Emerging Technology Trends in Electronics, Communication and Networking, Surat, India.","DOI":"10.1109\/ET2ECN.2014.7044953"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.3390\/encyclopedia2020071","article-title":"Foundations of Quantum Mechanics","volume":"2","author":"Yasmineh","year":"2022","journal-title":"Encyclopedia"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1371","DOI":"10.3390\/physics4040088","article-title":"What Can We Learn from Entanglement and Quantum Tomography?","volume":"4","author":"Ralston","year":"2022","journal-title":"Physics"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"e13300","DOI":"10.1049\/ell2.13300","article-title":"Quantum communications for image transmission over error-prone channels","volume":"60","author":"Jayasinghe","year":"2024","journal-title":"Electron. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"e2331","DOI":"10.1002\/nla.2331","article-title":"Quantum Fourier transform revisited","volume":"28","author":"Camps","year":"2021","journal-title":"Numer. Linear Algebra Appl."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Ballentine, L.E. (2014). Quantum Mechanics: A Modern Development, World Scientific Publishing Company. [2nd ed.].","DOI":"10.1142\/9038"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Sridhar, G.T., Ashwini, P., and Tabassum, N. (2023, January 4\u20136). A Review on Quantum Communication and Computing. Proceedings of the 2023 2nd International Conference on Applied Artificial Intelligence and Computing (ICAAIC), Salem, India.","DOI":"10.1109\/ICAAIC56838.2023.10140821"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Hughes, C., Isaacson, J., Perry, A., Sun, R.F., and Turner, J. (2021). Introduction to Superposition. Quantum Computing for the Quantum Curious, Springer International Publishing.","DOI":"10.1007\/978-3-030-61601-4"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"012120","DOI":"10.1088\/1742-6596\/1827\/1\/012120","article-title":"Quantum Entanglement and Its Application in Quantum Communication","volume":"1827","author":"Zou","year":"2021","journal-title":"J. Physics Conf. Ser."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"263","DOI":"10.54254\/2753-8818\/30\/20241130","article-title":"Quantum entanglement: Principles and research progress in quantum information processing","volume":"30","author":"Tao","year":"2024","journal-title":"Theor. Nat. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Sehgal, S.K., and Gupta, R. (2021, January 22\u201324). Quantum Cryptography and Quantum Key. Proceedings of the 2021 International Conference on Industrial Electronics Research and Applications (ICIERA), New Delhi, India.","DOI":"10.1109\/ICIERA53202.2021.9726722"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"180048","DOI":"10.1109\/ACCESS.2024.3504815","article-title":"Quantum Cryptography for Future Networks Security: A Systematic Review","volume":"12","author":"Imran","year":"2024","journal-title":"IEEE Access"},{"key":"ref_15","unstructured":"Wang, P., Zhang, X., and Chen, G. (2015, January 9\u201312). Efficient quantum-error correction for QoS provisioning over QKD-based satellite networks. Proceedings of the 2015 IEEE Wireless Communications and Networking Conference (WCNC), New Orleans, LA, USA."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Comi, P., Martelli, P., Martin, V., Brito, J.P., Gatto, A., M\u00e9ndez, R.B., Vicente, R.J., Bianchi, F., and Brunero, M. (2021, January 19\u201322). Increasing network reliability by securing SDN communication with QKD. Proceedings of the 2021 17th International Conference on the Design of Reliable Communication Networks (DRCN), Milano, Italy.","DOI":"10.1109\/DRCN51631.2021.9477334"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Mamiya, A., Tanaka, K., Yokote, S., Sasaki, M., Fujiwara, M., Tanaka, M., Sato, H., and Katagiri, Y. (2022, January 28\u201331). Satellite-based QKD for Global Quantum Cryptographic Network Construction. Proceedings of the 2022 IEEE International Conference on Space Optical Systems and Applications (ICSOS), Kyoto City, Japan.","DOI":"10.1109\/ICSOS53063.2022.9749727"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Karthik, M., Lalwani, J., and Jajodia, B. (2022, January 13\u201315). Quantum Image Teleportation Protocol (QITP) and Quantum Audio Teleportation Protocol (QATP) by using Quantum Teleportation and Huffman Coding. Proceedings of the 2022 International Conference on Trends in Quantum Computing and Emerging Business Technologies (TQCEBT), Pune, India.","DOI":"10.1109\/TQCEBT54229.2022.10041500"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Tan, X., Jiang, L., and Zhang, Q. (2013, January 9\u201311). Controlled Quantum Teleportation with Identity Authentication. Proceedings of the 2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies, Xi\u2019an, China.","DOI":"10.1109\/EIDWT.2013.67"},{"key":"ref_20","first-page":"102832","article-title":"A secure medical image transmission scheme aided by quantum representation","volume":"59","author":"Janani","year":"2021","journal-title":"J. Inf. Secur. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Yamaguchi, T., Kimura, N., Mochida, Y., Mizuno, K., Takasugi, K., Chikara, S., Saito, T., and Shirai, D. (2023, January 14\u201316). Uncompressed 8K-video-transmission System for Remote Production Secured by Post-quantum Cryptography. Proceedings of the 2023 IEEE International Symposium on Broadband Multimedia Systems and Broadcasting (BMSB), Beijing, China.","DOI":"10.1109\/BMSB58369.2023.10211442"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"100502","DOI":"10.1103\/PhysRevLett.117.100502","article-title":"Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication","volume":"117","author":"Feix","year":"2016","journal-title":"Phys. Rev. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"052326","DOI":"10.1103\/PhysRevA.92.052326","article-title":"Quantum superposition of the order of parties as a communication resource","volume":"92","author":"Feix","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"033292","DOI":"10.1103\/PhysRevResearch.2.033292","article-title":"Increasing communication capacity via superposition of order","volume":"2","author":"Goswami","year":"2020","journal-title":"Phys. Rev. Res."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"030502","DOI":"10.1103\/PhysRevLett.124.030502","article-title":"Experimental Transmission of Quantum Information Using a Superposition of Causal Orders","volume":"124","author":"Guo","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"e70299","DOI":"10.1049\/ell2.70299","article-title":"Adaptive Coding-Based Quantum Communication System for Image Transmission","volume":"61","author":"Jayasinghe","year":"2025","journal-title":"Electron. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Jayasinghe, U., Pollwaththage, N., Ganearachchi, Y., Samarathunga, P., Fernando, T., and Fernando, A. (2025, January 11\u201314). Quantum Communication based Image Transmission over Error-Prone Channels with Three-Qubit Stabilizer Code. Proceedings of the 2025 IEEE International Conference on Consumer Electronics (ICCE), Las Vegas, NV, USA.","DOI":"10.1109\/ICCE63647.2025.10930032"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1109\/TCE.2025.3552930","article-title":"Quantum Communication for Video Transmission Over Error-Prone Channels","volume":"71","author":"Jayasinghe","year":"2025","journal-title":"IEEE Trans. Consum. Electron."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Jayasinghe, U., Fernando, T., Ganearachchi, Y., Samarathunga, P., and Fernando, A. (2025). Quantum Communication Based Image Transmission With Transmit and Receive Diversity in MIMO Communication Systems. IEEE Trans. Consum. Electron., 1.","DOI":"10.1109\/TCE.2025.3559634"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1092","DOI":"10.1109\/TCE.2023.3331306","article-title":"A Novel Multi-Qubit Quantum Key Distribution Ciphertext-Policy Attribute-Based Encryption Model to Improve Cloud Security for Consumers","volume":"70","author":"Singamaneni","year":"2024","journal-title":"IEEE Trans. Consum. Electron."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11128-024-04264-6","article-title":"Multi-party semiquantum key distribution with multi-qubit GHZ states","volume":"23","author":"Pan","year":"2024","journal-title":"Quantum Inf. Process."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s11128-025-04686-w","article-title":"Multi-qubit hierarchical quantum state sharing with authentication","volume":"24","author":"Zhou","year":"2025","journal-title":"Quantum Inf. Process."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1789","DOI":"10.1007\/s11128-014-0766-2","article-title":"Quantum teleportation through noisy channels with multi-qubit GHZ states","volume":"13","author":"Espoukeh","year":"2014","journal-title":"Quantum Inf. Process."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1820","DOI":"10.1007\/s10773-015-2821-x","article-title":"Quantum Teleportation of Three and Four-Qubit State Using Multi-qubit Cluster States","volume":"55","author":"Yi","year":"2016","journal-title":"Int. J. Theor. Phys."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1007\/s11128-017-1515-0","article-title":"Quantum Fourier transform in computational basis","volume":"16","author":"Zhou","year":"2017","journal-title":"Quantum Inf. Process."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Amankwah, M.G., Camps, D., Bethel, E.W., Jones, M.W., Martinez-Rach, M.A., Uelwer, T., Cruz, C.D., Blanes, I., Art\u00e9s, A., and Bernardos, A.M. (2022). Quantum pixel representations and compression for N-dimensional images. Sci. Rep., 12.","DOI":"10.1038\/s41598-022-11024-y"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Haque, M.E., Paul, M., Ulhaq, A., and Debnath, T. (2023). Advanced quantum image representation and compression using a DCT-EFRQI approach. Sci. Rep., 13.","DOI":"10.1038\/s41598-023-30575-2"},{"key":"ref_38","first-page":"1339117","article-title":"Image compression using quantum wavelet transforms","volume":"13391","author":"Devarapalli","year":"2025","journal-title":"Proc. SPIE Int. Soc. Opt. Eng."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/s11128-022-03749-6","article-title":"Quantum color image compression and encryption algorithm based on Fibonacci transform","volume":"22","author":"Ma","year":"2023","journal-title":"Quantum Inf. Process."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s11128-023-04243-3","article-title":"Quantum image compression with autoencoders based on parameterized quantum circuits","volume":"23","author":"Wang","year":"2024","journal-title":"Quantum Inf. Process."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Mukhamedieva, D.T., Sobirov, R.A., Turg\u2019unova, N., and Samijonov, B.N. (2024). Quantum Fourier Transform in Image Processing. Information Technologies and Intelligent Decision Making Systems, Springer. Communications in Computer and Information Science.","DOI":"10.1007\/978-3-031-60318-1_12"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s11128-019-2368-5","article-title":"High-dimensional quantum key distribution based on qudits transmission with quantum Fourier transform","volume":"18","author":"Yan","year":"2019","journal-title":"Quantum Inf. Process."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"2427","DOI":"10.1109\/LCOMM.2018.2874025","article-title":"Quantum Teleportation of Multiple Qubits Based on Quantum Fourier Transform","volume":"22","author":"Song","year":"2018","journal-title":"IEEE Commun. Lett."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1007\/s11082-023-05299-2","article-title":"Quantum Fourier states and gates: Teleportation via rough entanglement","volume":"55","author":"Mastriani","year":"2023","journal-title":"Opt. Quantum Electron."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"3174","DOI":"10.1007\/s10773-020-04570-6","article-title":"Quantum Teleportation Protocol of Arbitrary Quantum States by Using Quantum Fourier Transform","volume":"59","author":"Cao","year":"2020","journal-title":"Int. J. Theor. Phys."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"e70205","DOI":"10.1049\/ell2.70205","article-title":"Image Transmission Over Quantum Communication Systems With Three-Qubit Error Correction","volume":"61","author":"Jayasinghe","year":"2025","journal-title":"Electron. Lett."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Jayasinghe, U., Samarathunga, P., Fernando, T., and Fernando, A. (2025). Transmit and Receive Diversity in MIMO Quantum Communication for High-Fidelity Video Transmission. Algorithms, 18.","DOI":"10.3390\/a18070436"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Johnson, S., Rarity, J., and Padgett, M. (2024). Transmission of quantum-secured images. Sci. Rep., 14.","DOI":"10.1038\/s41598-024-62415-2"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"740","DOI":"10.1007\/978-3-319-10602-1_48","article-title":"Microsoft COCO: Common Objects in Context","volume":"Volume 8693","author":"Lin","year":"2014","journal-title":"Proceedings of the Computer Vision\u2014ECCV 2014"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"xviii","DOI":"10.1109\/30.125072","article-title":"The JPEG still picture compression standard","volume":"38","author":"Wallace","year":"1992","journal-title":"IEEE Trans. Consum. Electron."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1109\/MSP.2015.2419292","article-title":"The High Efficiency Image File Format Standard [Standards in a Nutshell]","volume":"32","author":"Hannuksela","year":"2015","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Pathak, P., and Bhatia, R. (2022, January 27\u201329). Performance analysis of Polar codes for next generation 5G technology. Proceedings of the 2022 3rd International Conference for Emerging Technology (INCET), Belgaum, India.","DOI":"10.1109\/INCET54531.2022.9824746"},{"key":"ref_53","unstructured":"Nielsen, M.A., and Chuang, I.L. (2010). Quantum Computation and Quantum Information: 10th Anniversary Edition, Cambridge University Press."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"14671","DOI":"10.1109\/ACCESS.2024.3355789","article-title":"Hybrid Quantum Noise Model to Compute Gaussian Quantum Channel Capacity","volume":"12","author":"Chakraborty","year":"2024","journal-title":"IEEE Access"},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"Wille, R., Lye, A., and Drechsler, R. (2014, January 20\u201323). Optimal SWAP gate insertion for nearest neighbor quantum circuits. Proceedings of the 2014 19th Asia and South Pacific Design Automation Conference (ASP-DAC), Singapore.","DOI":"10.1109\/ASPDAC.2014.6742939"},{"key":"ref_56","doi-asserted-by":"crossref","unstructured":"Dixit, V., and Jian, S. (2022). Quantum Fourier transform to estimate drive cycles. Sci. Rep., 12.","DOI":"10.1038\/s41598-021-04639-0"},{"key":"ref_57","unstructured":"International Telecommunication Union (ITU) (2022). Methodologies for the Subjective Assessment of the Quality of Television Pictures, International Telecommunication Union. ITU-R Recommendation BT.500."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/18\/8\/501\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:24:52Z","timestamp":1760034292000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/18\/8\/501"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,11]]},"references-count":57,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["a18080501"],"URL":"https:\/\/doi.org\/10.3390\/a18080501","relation":{},"ISSN":["1999-4893"],"issn-type":[{"value":"1999-4893","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,11]]}}}