The new research discusses a new method for encrypting multiple images simultaneously using quantum computing, which could revolutionize the transmission of sensitive images such as medical or military satellite images. Traditional image encryption methods have been translated into quantum circuits, but this new approach reduces complexity by reducing the number of qubits added for blank images.
The method uses a quantum Baker transform and a sine chaotification model to scramble images. The encryption and decryption scheme involves XORing bit values with secret keys. The article concludes by discussing the potential of this new method and the need for further analysis.
Quantum Image Encryption: An Overview
Quantum computing is rapidly developing, and with it comes the potential for faster image processing. This article discusses a new method for encrypting multiple images simultaneously using a quantum computer. This could have significant applications, such as the efficient and confidential transmission of medical or military satellite images.
Traditionally, image encryption involves applying a geometric transformation to change pixel positions, then modifying pixel values using pseudorandom sequences. Quantum image encryption presents the challenge of converting a classical image into a quantum representation using a quantum circuit of the lowest possible complexity. The quantum representation must be suitable for applying a quantum transformation during the encryption process, and the classical image should be accurately retrieved at the end of the decryption process.
Quantum Image Encryption Schemes
With the growth of quantum image encryption schemes, traditional image scrambling algorithms like the Hilbert transform, the Arnold transform, and the Fibonacci transform were translated into quantum circuits. These methods simultaneously scramble pixel positions and images in a multiple-image quantum encryption scheme. However, this requires encoding blank images in their quantum multiple image, which increases complexity.
A New Approach to Quantum Image Encryption
This paper introduces a new multiple images quantum representation that reduces the number of qubits added corresponding to the blank images. This novel representation is based on bit planes, adapted to quantum multiple images. It uses a quantum Baker transform, which has a larger scrambling period than the quantum Arnold transform. The scrambling process is twofold: first, a pixel-independent scrambling of the images and the bit planes, and second, an independent image and independent bit plane scrambling of the pixel positions.
The Role of Chaotic Systems in Quantum Image Encryption
Chaotic systems are commonly used as diffusion tools in quantum image encryption methods. They generate completely different sequences through relatively small changes in the tuning parameters or initial conditions. This paper uses a sine chaotification model composed with another given chaotic map to enlarge the parameter range of chaos. For each scrambled image, a different control parameter is used, and the two initial conditions depend on the multi-image plaintext.
The Encryption and Decryption Scheme
The encryption and decryption scheme involves XORing the bit values of each bit plane with secret keys. These keys are generated by applying a Chebyshev polynomial to elements of pseudorandom sequences, multiplying the resulting values together, and converting the resulting integer into a sequence of bits.
The Future of Quantum Image Encryption
The paper concludes by discussing the strength of the proposed scheme and the need for its precise cryptanalysis. It also suggests future directions and open questions dealing with improving the scheme complexity or the scrambling process. The new representation introduced in this paper allows for dealing with multiple quantum images, which is a significant step forward in the field of quantum image encryption.
A new article titled “Quantum multiple gray scale images encryption scheme in the bit plane representation model” has been published. Authored by Claire Levaillant, the article was published on January 1, 2024. The research focuses on a new encryption scheme for quantum multiple gray scale images in the bit plane representation model. The article can be accessed through the DOI reference https://doi.org/10.48550/arxiv.2401.00787. The article was published in the source arXiv (Cornell University).
