Shor's Algorithm Engine
Modular Exponentiation & Quantum Fourier Transform
LWE Lattice Vector Engine
Closest Vector Problem (CVP) Noise Perturbation
Enterprise Migration & Risk Horizon Telemetry
Cryptographic inventory breakdown and transition vulnerability assessment
Target Key Break Time
180 seconds
vs 300,000,000 yrs classical
Logical Qubits Needed
4,096 qubits
Hardware Capacity Met
Lattice Security Margin
768-Dim
Exponential CVP hardness
Migration Risk Horizon
High Risk
Immediate PQC Upgrade Required
Domain Cryptanalytic Assessment
Shor's quantum algorithm solves the order-finding problem in polynomial time O((log N)³), collapsing RSA-2048 security. In contrast, Learning With Errors (LWE) relies on finding short vector errors in high-dimensional (768-D) lattices—a problem that exhibits no quantum period structure and remains exponentially hard.
Active Strategy: ML-KEM-768 Hybrid Transition