Secure Multi-Party Exact Homomorphic Encryption for Scalable Computation

The patent introduces a trusted third party (TTP) as an intermediary that generates and distributes secret keys to multiple parties. This TTP-mediated key distribution system enables secure multi-party computation by allowing parties to perform homomorphic operations on encrypted data without directly sharing their private keys, thus maintaining security while enabling deeper computations through proper key management and noise control mechanisms.

The patent segments the computation process into multiple controlled stages with intermediate verification points. By dividing the homomorphic computation into discrete steps where noise can be managed and controlled at each stage, the system prevents exponential noise accumulation. The segmentation also allows for intermediate decryption and re-encryption operations under controlled conditions, maintaining accuracy while enabling complex computations.

The patent uses classical computational resources to simulate and verify quantum cryptographic protocols. Instead of requiring actual quantum hardware for every operation, the system employs classical algorithms that replicate quantum computational effects, thereby achieving post-quantum security levels with available classical computing resources. This copying approach allows the system to maintain quantum-resistant security without needing excessive physical qubits.

The patent replaces physical quantum mechanical systems with classical computational mechanisms. By substituting actual quantum operations with classically simulatable algorithms that produce equivalent cryptographic results, the system achieves post-quantum security without requiring large-scale quantum hardware. This substitution enables the use of standard computational resources while maintaining security against quantum attacks.

The patent employs disposable, easily regenerable cryptographic keys and encryption parameters that can be quickly generated and discarded. Instead of implementing complex, long-lived fault-tolerant quantum error correction, the system uses inexpensive, rapidly renewable cryptographic primitives that achieve similar reliability through frequent key rotation and regeneration. This approach reduces device complexity by replacing complex error correction with simpler key management.

The patent achieves computation reliability by dynamically adjusting cryptographic parameters such as key lengths, polynomial degrees, and noise thresholds rather than implementing fixed complex error-correcting codes. By changing these parameters adaptively based on computation depth and security requirements, the system maintains high reliability without the excessive device complexity of full fault-tolerant quantum computation architectures.