  Cryptography plays an important role in ensuring data security and
authentication within information processing systems. As the prevalence of
digital imagery continues to grow, safeguarding this form of data becomes
increasingly crucial. However, existing security protocols, reliant on complex
mathematical models, exhibit vulnerabilities in effectively protecting
information from both internal and external threats. Moreover, the forthcoming
advent of quantum computing poses a significant challenge, as it could decrypt
data encrypted by classical. In this paper, we propose an efficient
implementation scheme for a quantum image encryption algorithm combining the
generalized affine transform and logistic map. We evaluated developed quantum
circuits using qiskit and quantum devices to validate the encryption technique.
Through comprehensive performance analysis, we have demonstrated the efficiency
of the chosen encryption algorithm across various criteria. Furthermore, we
introduce a hybrid methodology aimed at mitigating circuit complexity and
reducing quantum cost. Leveraging the Espresso algorithm and incorporating an
ancilla qubit into the circuitry, we achieve a remarkable 50\% reduction in
cost while maintaining security and efficiency. Finally, we conducted
robustness and security analyses to assess the resilience of our encryption
method against diverse noise attacks. The results confirm that our proposed
quantum image encryption technique provides a secure solution and offers
precise and measurable quantum image processing capabilities.
