Quantum color image compression and encryption algorithm based on Fibonacci transform

Under the generalized quantum image representation model, a new multiple color images compression and encryption algorithm is proposed by combining quantum Haar wavelet transform (HQWT) with iterative quantum Fibonacci transform (IQFT). Multiple RGB images stored with the generalized quantum image representation (GQIR) were first permutated by the HQWT, and the resulting images were compacted into a single hybrid image. Subsequently, the hybrid image is compressed under various compression ratios with a measurement matrix composed of Hadamard gates, and the intermediate result is scrambled with the generalized IQFT to produce a compressed image. Meanwhile, the gate level quantum circuits of hyper-chaotic Henon map were designed to generate optimal key sequences. The compressed image is exclusive ORed with a key image harvested from those key sequences to yield a ciphertext image. The decryption image is reconstructed from the ciphertext image with the NSL0 algorithm and some reversed operations. It is demonstrated that the proposed multi-image compression and encryption algorithm is feasible, secure, and efficient.

Automated summary

A multiple color images compression and encryption algorithm based on the generalized quantum image representation model is proposed, which combines quantum Haar wavelet transform with iterative quantum Fibonacci transform. The algorithm first permutes multiple RGB images stored with the generalized quantum image representation, and then compacts the resulting images into a single hybrid image. The hybrid image is then compressed under various compression ratios and scrambled with the generalized iterative quantum Fibonacci transform to produce a compressed image. The compressed image is XORed with a key image generated from hyper-chaotic Henon map to yield a ciphertext image. The decryption image is reconstructed from the ciphertext image using the NSL0 algorithm and reversed operations. The proposed algorithm is demonstrated to be feasible, secure, and efficient.