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April 15, 2026Algorithms0 citationsOpen Access

Complex-Valued Orthogonal Unitary Superposition Encoding for Robust Three-Qubit Quantum-Error-Correction-Based Image Transmission

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UJUdara JayasingheAFAnil Fernando

Key Points

  • This research aims to enhance the efficiency and reliability of transmitting compressed images over noisy channels using quantum methods.
  • Proposed a complex-valued orthogonal unitary superposition encoding.
  • Integrated the encoding with a three-qubit quantum error correction framework.
  • Compressed images using JPEG or HEIF standards before quantum encoding.
  • Applied quantum channel coding and decoded images at the receiver.
  • Achieved PSNR, SSIM, and UQI performance improvements over existing methods.
  • Outperformed Hadamard encoding-based three-qubit QEC schemes with up to 6 dB SNR gains.
  • Surpassed classical communication systems using polar codes by achieving up to 12 dB SNR gains.

Abstract

Efficient and reliable transmission of compressed images over noisy channels remains a significant challenge due to the high sensitivity to noise. Quantum communication offers a promising solution by encoding classical information into quantum states; however, these states are still susceptible to noise and quantum decoherence. To address these limitations, we propose a complex-valued orthogonal unitary superposition (COUS) encoding integrated with a three-qubit quantum error correction (QEC) framework for robust and low-complexity quantum image transmission. The COUS encoding preserves both amplitude and phase information, enhancing reconstruction fidelity while maintaining practical scalability. In the proposed system, images are first compressed using either the joint photographic experts group (JPEG) standard or the high-efficiency image file (HEIF) standard and encoded into quantum states. Quantum channel coding is then applied to protect against quantum noise, followed by COUS encoding prior to transmission. At the receiver, the transmitted data undergoes COUS decoding, quantum error correction, quantum decoding, and source decoding to reconstruct the images. Performance improvements are observed across peak signal-to-noise ratio (PSNR), structural similarity index measure (SSIM), and universal quality index (UQI) metrics. Simulation results demonstrate that the proposed approach outperforms conventional Hadamard encoding-based three-qubit QEC schemes, achieving maximum channel signal-to-noise ratio (SNR) gains of up to 6 dB, and surpasses bandwidth-equivalent classical communication systems employing polar codes, achieving channel SNR gains of up to 12 dB. These results highlight the potential of the proposed method as a practical solution for high-fidelity quantum image communication, overcoming the limitations of existing approaches.

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Cite This Study

Jayasinghe et al. (2026) studied this question.

synapsesocial.com/papers/69df2c1de4eeef8a2a6b1125https://doi.org/10.3390/a19040304
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