Quantum watermarking scheme based on DNA encoding and quantum error correction

Quantum watermarking can be used for image ownership protection. This paper proposes a quantum watermarking scheme based on Novel Enhanced Quantum Representation (NEQR), DNA encoding, and quantum error correction (QEC). First, XOR operations are performed between the watermark image and a DNA key sequence. Then, performing DNA addition between the resulting image and DNA key image, the encrypted watermark image is obtained. Using the quantum parity determination (QPD) method, the encrypted quantum watermark image is embedded into the least significant bit (LSB) of the carrier image. The quantum circuits for the scheme are also provided. In order to evaluate the effect of the scheme, the watermarking scheme is simulated using MATLAB. The simulation results show that the embedded watermark has good visual quality, and the PSNR of watermarked image is about 51 dB. When ‘salt and pepper’ noise with a density of 0.10 is added to the watermarked image, the PSNR for extracted watermark is 20.38 dB. When the cropping proportion is 50%, the PSNR for extracted watermark is 22.08 dB. These results indicate that the proposed watermarking scheme has strong robustness against noise and cropping attacks. The extraction of watermark is also simulated for cases where the DNA key sequence or key image is damaged. If there is a small amount of damage to DNA key sequence or key image, the watermark cannot be extracted effectively. The watermark encryption further increases the difficulty of unauthorized watermark extraction. Applying DNA encoding to quantum watermarking research also offers significant novelty.