Quantum image encryption algorithm via optimized quantum circuit and parity bit-plane permutation

Quantum image encryption technology employs the unique features of superposition, entanglement, and quantum state instability, offering advantages like high efficiency, parallelism, and robust resistance to decryption attempts. In this work, we propose a quantum image encryption algorithm via an optimized quantum circuit and parity bit-plane permutation named OCPBP. Our research commences with applying an optimization algorithm to BRQI image preparation. This optimization significantly reduces the number of auxiliary qubits from n+3 to 2 in the preparation of (n+5)-CNOT gate preparation. This reduction makes a significant simplification of the complexity and memory space required for BRQI image preparation. Moreover, we introduce an innovative operation based on parity pixel bit-planes for permutation, which provides a fresh perspective on quantum image encryption based on the BRQI model. Furthermore, we generate quantum key images for XOR operations using the improved logistic map, effectively tackling the challenge of non-random keys that can be a concern in conventional BRQI encryption techniques. We also perform a row-column-based permutation operation to enhance the algorithm’s resilience against potential attacks. Through extensive theoretical analysis and comparative experiments, we confirm the heightened security and reduced complexity of the proposed OCPBP algorithm compared to BRQI-based and chaotic image encryption methods. It holds significant promise for improving quantum image communication and application.