Introduction -- The Cross-Impact between Cryptography and Artificial Intelligence -- II Past: War and Peace -- The Dichotomy of Crypto and NN -- III Present: Coevolution -- AI Makes Crypto Evolve -- Crypto Makes AI Evolve -- IV From a Dichotomy to a Trichotomy- Quantum Computing: The Third Vertex of the Triangle -- Chaotic Image Encryption: State-of-the-Art, Ecosystem and the Promise of Quantum-Inspired AI -- Information-Theoretic Cryptography: Life Cycle, Ecosystem and the Promise of Quantum-Inspired AI -- Further Works -- Conclusion.