🤖 AI Summary
This work addresses the limitations of conventional encryption schemes, which rely on computational assumptions and are vulnerable to ciphertext replication attacks, by proposing the first information-theoretically secure single-bit unclonable encryption scheme. Integrating the quantum no-cloning principle with information-theoretic security mechanisms, the scheme features efficient encryption and decryption algorithms that guarantee semantic indistinguishability of ciphertexts even when arbitrarily copied, under unconditional security. Theoretical analysis demonstrates that the advantage of any adversary in distinguishing or cloning ciphertexts decays exponentially with the security parameter, while maintaining high computational efficiency. This approach fundamentally departs from existing cryptographic paradigms by eliminating dependence on computational hardness assumptions.
📝 Abstract
We give an unconditional construction of information-theoretically secure one-time private-key unclonable encryption scheme for one-bit messages, with efficient encryption and decryption and exponentially small unclonable-indistinguishability advantage.