Quantum resistance means a cryptographic system can withstand attacks from quantum computers. This is distinct from "quantum proof" — no cryptography is provably immune to all future attacks. Quantum-resistant algorithms resist all currently known quantum attack vectors.
The two primary quantum attack algorithms are Shor's algorithm (breaks public-key cryptography like RSA and ECDSA) and Grover's algorithm (provides quadratic speedup against symmetric encryption and hash functions).
What makes a system quantum-resistant:
- Uses mathematical problems that quantum computers cannot solve efficiently
- Key sizes are large enough to resist Grover's quadratic speedup
- Has been evaluated by the cryptographic community (ideally NIST-standardized)
- Implements PQC at every layer, not just one component
BMIC's quantum resistance: BMIC implements quantum resistance at every layer: CRYSTALS-Kyber for key encapsulation, AES-256-PQC for symmetric encryption (128-bit security even post-quantum), and ERC-4337 smart accounts with quantum-safe signature verification.